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JEE Main 10 April 2019 Shift 2 Question Paper with Answers

10 April 2019 · April session · 86 questions

86 of the 90 questions from the JEE Main 10 April 2019 Shift 2 paper, each with its correct answer and tagged to the chapter it tests. Free to read, no account needed.

4 questions are held back from this paper while we re-check the transcription or the answer key. We would rather show you nothing than show you an answer we are not confident is right.

Physics
28
Chemistry
30
Mathematics
28

Physics — JEE Main 10 April 2019 Shift 2

Q1·PhysicsSingle correct
One mole of an ideal gas passes through a process where pressure and volume obey the relation P=P0[1−12(V0V)2]P = P_{0}\left[1 - \dfrac{1}{2}\left(\dfrac{V_{0}}{V}\right)^{2}\right]P=P0​[1−21​(VV0​​)2]. Here P0P_{0}P0​ and V0V_{0}V0​ are constants. Calculate the change in the temperature of the gas if its volume change from V0V_{0}V0​ to 2V02V_{0}2V0​
  1. (A)14P0V0R\dfrac{1}{4}\dfrac{P_{0}V_{0}}{R}41​RP0​V0​​
  2. (B)12P0V0R\dfrac{1}{2}\dfrac{P_{0}V_{0}}{R}21​RP0​V0​​
  3. (C)54P0V0R\dfrac{5}{4}\dfrac{P_{0}V_{0}}{R}45​RP0​V0​​
  4. (D)34P0V0R\dfrac{3}{4}\dfrac{P_{0}V_{0}}{R}43​RP0​V0​​

Correct answer: (C)

Step-by-step solution →
Q2·PhysicsSingle correct
A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of 7M8\dfrac{7M}{8}87M​ and is converted into a uniform disc of radius 2R. The second part is converted into a uniform solid sphere. Let I1I_{1}I1​ be the moment of inertia of the disc about its axis and I2I_{2}I2​ be the moment of inertia of the new sphere about its axis. The ratio of I1/I2I_{1}/I_{2}I1​/I2​ is given by:
  1. (A)285
  2. (B)185
  3. (C)65
  4. (D)140

Correct answer: (D)

Step-by-step solution →
Q3·PhysicsSingle correct
The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 Hz and 11 Hz,
  1. (A)(A)
  2. (B)(B)
  3. (C)(C)
  4. (D)(D)

Correct answer: (A)

Step-by-step solution →
Q4·PhysicsSingle correct
When heat Q is supplied to a diatomic gas of rigid molecules at constant volume its temperature increases by ΔT. The heat required to produce the same change in temperature, at constant pressure is
  1. (A)32Q\dfrac{3}{2}Q23​Q
  2. (B)53Q\dfrac{5}{3}Q35​Q
  3. (C)75Q\dfrac{7}{5}Q57​Q
  4. (D)23Q\dfrac{2}{3}Q32​Q

Correct answer: (C)

Step-by-step solution →
Q5·PhysicsSingle correct
A bullet of mass 20 g has an initial speed of 1 ms−1^{-1}−1 just before it starts penetrating a mud wall of thickness 20 cm. If the wall offers a mean resistances of 2.5×10−22.5 \times 10^{-2}2.5×10−2 N, the speed of the bullet after emerging from the other side of the wall is close to
  1. (A)0.7 ms−1^{-1}−1
  2. (B)0.3 ms−1^{-1}−1
  3. (C)0.1 ms−1^{-1}−1
  4. (D)0.4 ms−1^{-1}−1

Correct answer: (A)

Step-by-step solution →
Q6·PhysicsSingle correct
The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit?
  1. (A)1.00 mm
  2. (B)1.16 mm
  3. (C)0.90 mm
  4. (D)1.36 mm

Correct answer: (B)

Step-by-step solution →
Q7·PhysicsSingle correct
A plane is inclined at an angle α = 30° with respect to the horizontal. A particle is projected with a speed u = 2 ms−1^{-1}−1, from the base of the plant, making an angle θ = 15° with respect to the plane as shown in the figure. The distance from the base at which the particle hits the plane is close to (Take g = 10 ms2^{2}2)
  1. (A)18 cm
  2. (B)14 cm
  3. (C)26 cm
  4. (D)20 cm

Correct answer: (D)

Step-by-step solution →
Q8·PhysicsSingle correct
The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is carrying a current of 10 A is: [Take μ0=4π×10−7\mu_{0} = 4\pi \times 10^{-7}μ0​=4π×10−7 NA−2^{-2}−2]
  1. (A)9 μT
  2. (B)1 μT
  3. (C)3 μT
  4. (D)18 μT

Correct answer: (D)

Step-by-step solution →
Q9·PhysicsSingle correct
Two radioactive substances A and B have decay constants 5λ and λ respectively. At t = 0, a sample has the same number of the two nuclei. The time taken for the ratio of the number of nuclei to become (1e)2\left(\dfrac{1}{e}\right)^{2}(e1​)2 will be
  1. (A)1/λ
  2. (B)1/4λ
  3. (C)2/λ
  4. (D)1/2λ

Correct answer: (D)

Step-by-step solution →
Q10·PhysicsSingle correct
Two blocks A and B of masses mAm_{A}mA​ = 1 kg and mBm_{B}mB​ = 3 kg are kept on the table as shown in figure. The coefficient of friction between A and B is 0.2 and between B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontal, so that the block A does not slide over the block B is: [Take g = 10 m/s2^{2}2]
  1. (A)8 N
  2. (B)16 N
  3. (C)12 N
  4. (D)40 N

Correct answer: (B)

Step-by-step solution →
Q11·PhysicsSingle correct
The formula X=5YZ2X = 5YZ^{2}X=5YZ2 X and Z have dimensions of capacitance and magnetic field respectively. What are the dimensions of Y in SI units?
  1. (A)[M−2L0T−4A−2][M^{-2} L^{0} T^{-4} A^{-2}][M−2L0T−4A−2]
  2. (B)[M−3L−2T8A−1][M^{-3} L^{-2} T^{8} A^{-1}][M−3L−2T8A−1]
  3. (C)[M−2L−2T6A3][M^{-2} L^{-2} T^{6} A^{3}][M−2L−2T6A3]
  4. (D)[M−1L−2T4A2][M^{-1} L^{-2} T^{4} A^{2}][M−1L−2T4A2]

Correct answer: (B)

Step-by-step solution →
Q12·PhysicsSingle correct
In Li++^{++}++, electron in first Bohr orbit is excited to a level by a radiation of wavelength λ. When the ion gets deexcited to the ground state in all possible ways(including intermediate emission) a total of six spectral lines are observed. What is the value of λ? (Given: h = 6.63×10346.63 \times 10^{34}6.63×1034 js; e = 3×1083 \times 10^{8}3×108 ms−1^{-1}−1)
  1. (A)10.8 nm
  2. (B)11.4 nm
  3. (C)9.4 nm
  4. (D)12.3 nm

Correct answer: (A)

Step-by-step solution →
Q13·PhysicsSingle correct
The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens used?
  1. (A)b2ac\dfrac{b^{2}}{ac}acb2​
  2. (B)ac\dfrac{a}{c}ca​
  3. (C)b2ca\dfrac{b^{2}c}{a}ab2c​
  4. (D)bc\dfrac{b}{c}cb​

Correct answer: (D)

Step-by-step solution →
Q14·PhysicsSingle correct
A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only gravitational field of the plant acts on the spaceship. What will be the number of complete revolutions made by the spaceship in 24 hours around the plane? [Given: Mass of plane = 8×10228 \times 10^{22}8×1022 kg, Radius of planet = 2×1062 \times 10^{6}2×106 m, Gravitational constant G = 6.67×10−116.67 \times 10^{-11}6.67×10−11 Mn2^{2}2/kg2^{2}2]
  1. (A)9
  2. (B)11
  3. (C)13
  4. (D)17

Correct answer: (B)

Step-by-step solution →
Q15·PhysicsSingle correct
Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm−2^{-2}−2. If the surface has an area of 25 cm2^{2}2, the maximum transferred to the surface in 40 min time duration will be
  1. (A)6.3×10−46.3 \times 10^{-4}6.3×10−4 Ns
  2. (B)3.5×10−63.5 \times 10^{-6}3.5×10−6 Ns
  3. (C)5.0×10−35.0 \times 10^{-3}5.0×10−3 Ns
  4. (D)1.4×10−61.4 \times 10^{-6}1.4×10−6 Ns

Correct answer: (C)

Step-by-step solution →
Q16·PhysicsSingle correct
The time dependence of the position of a particle of mass m = 2 is given by r⃗(t)=2ti^−3t2j^\vec{r}(t) = 2t\hat{i} - 3t^{2}\hat{j}r(t)=2ti^−3t2j^​ Its angular momentum with respect to the origin at time t = 2 is .
  1. (A)−48k^-48\hat{k}−48k^
  2. (B)48(i^+j^)48(\hat{i} + \hat{j})48(i^+j^​)
  3. (C)36k^36\hat{k}36k^
  4. (D)−34(k^−i^)-34(\hat{k} - \hat{i})−34(k^−i^)

Correct answer: (A)

Step-by-step solution →
Q17·PhysicsSingle correct
Water from a tap emerges vertically downwards with an initial speed of 1.0 ms−1^{-1}−1. The cross-sectional area of the tap is 10−410^{-4}10−4m2^{2}2. Assume that the pressure is constant throughout the stream of water and that flow is streamlined. The cross-sectional area of the stream, 0.15 m below the tap would be: (take g = 110 ms−2^{-2}−2)
  1. (A)5×10−45 \times 10^{-4}5×10−4 m2^{2}2
  2. (B)5×10−55 \times 10^{-5}5×10−5 m2^{2}2
  3. (C)1×10−51 \times 10^{-5}1×10−5 m2^{2}2
  4. (D)2×10−52 \times 10^{-5}2×10−5 m2^{2}2

Correct answer: (B)

Step-by-step solution →
Q18·PhysicsSingle correct
Space between two concentric conducting spheres of radii a and b (b >a) is filled with a medium of resistivity ρ. The resistance between the two spheres will be
  1. (A)ρ2π(1a+1b)\dfrac{ρ}{2π}\left(\dfrac{1}{a} + \dfrac{1}{b}\right)2πρ​(a1​+b1​)
  2. (B)ρ2π(1a−1b)\dfrac{ρ}{2π}\left(\dfrac{1}{a} - \dfrac{1}{b}\right)2πρ​(a1​−b1​)
  3. (C)ρ4π(1a+1b)\dfrac{ρ}{4π}\left(\dfrac{1}{a} + \dfrac{1}{b}\right)4πρ​(a1​+b1​)
  4. (D)ρ4π(1a−1b)\dfrac{ρ}{4π}\left(\dfrac{1}{a} - \dfrac{1}{b}\right)4πρ​(a1​−b1​)

Correct answer: (D)

Step-by-step solution →
Q19·PhysicsSingle correct
A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the figure. The system is initially at rest. The constant torque, that will make the system rotate about AB at 25 rotations per second is 5 s is close to
  1. (A)2.0×10−52.0 \times 10^{-5}2.0×10−5 Nm
  2. (B)4.0×10−64.0 \times 10^{-6}4.0×10−6 Nm
  3. (C)1.6×10−51.6 \times 10^{-5}1.6×10−5 Nm
  4. (D)7.9×10−67.9 \times 10^{-6}7.9×10−6 Nm

Correct answer: (A)

Step-by-step solution →
Q20·PhysicsSingle correct
The figure represents a voltage regulator circuit using a Zener diode. The breakdown voltage of the Zener diode is 6 V and the load resistance is RL_LL​= 4kΩ. The series resistance of the circuit is Ri_ii​ = 1kΩ. If the battery voltage V8_88​ varies from 8 V to 16 V, what are the minimum and maximum values of the current through Zener diode?
  1. (A)0.5 mA; 0.6 mA
  2. (B)1 mA; 8.5 mA
  3. (C)1.5 mA; 8.5 mA
  4. (D)0.5 mA; 8.5 mA

Correct answer: (D)

Step-by-step solution →
Q21·PhysicsSingle correct
A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E, as shown in figure. Its bob has mass m and charge q. the time period of the pendulum is given by
  1. (A)2πLg2+(qEm)22π\sqrt{\dfrac{L}{\sqrt{g^{2} + \left(\dfrac{qE}{m}\right)^{2}}}}2πg2+(mqE​)2​L​​
  2. (B)2πL(g+qEm)2π\sqrt{\dfrac{L}{\left(g + \dfrac{qE}{m}\right)}}2π(g+mqE​)L​​
  3. (C)2πL(g−qEm)2π\sqrt{\dfrac{L}{\left(g - \dfrac{qE}{m}\right)}}2π(g−mqE​)L​​
  4. (D)2πLg2−q2E2m22π\sqrt{\dfrac{L}{\sqrt{g^{2} - \dfrac{q^{2}E^{2}}{m^{2}}}}}2πg2−m2q2E2​​L​​

Correct answer: (A)

Step-by-step solution →
Q22·PhysicsSingle correct
A 2 mW laser operates at a wavelength of 500 nm. The number of photons that will be emitted per second is [Given Planck's constant h = 6.6×10−346.6 \times 10^{-34}6.6×10−34 Js, speed of light c = 3.0×1083.0 \times 10^{8}3.0×108 m/s]
  1. (A)1×10161 \times 10^{16}1×1016
  2. (B)1.5×10161.5 \times 10^{16}1.5×1016
  3. (C)2×10162 \times 10^{16}2×1016
  4. (D)5×10155 \times 10^{15}5×1015

Correct answer: (D)

Step-by-step solution →
Q23·PhysicsSingle correct
A coil of self inductance 10 mH and resistance 0.1 Ω is connected through a switch to a battery of internal resistance 0.9 Ω. After the switch is closed the time taken for the current to attain 80% of the saturation values is: [take ln 5 = 1.6]
  1. (A)0.016 s
  2. (B)0.324 s
  3. (C)0.002 s
  4. (D)0.103 s

Correct answer: (A)

Step-by-step solution →
Q24·PhysicsSingle correct
A submarine experiences a pressure of 5.05×1065.05 \times 10^{6}5.05×106 Pa at a depth of d1_11​ in a sea. When it goes further to a depth of d2_22​, it experiences a pressure of 8.08×1068.08 \times 10^{6}8.08×106 Pa. Then d2_22​ − d1_11​ is approximately (density of water = 10310^{3}103 kg/m3^{3}3 and acceleration due to gravity = 10 ms−2^{-2}−2)
  1. (A)400 m
  2. (B)500 m
  3. (C)600 m
  4. (D)300 m

Correct answer: (D)

Step-by-step solution →
Q25·PhysicsSingle correct
A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water? [Take density of water = 10310^{3}103 kg/m3^{3}3]
  1. (A)46.3 kg
  2. (B)65.4 kg
  3. (C)30.1 kg
  4. (D)87.5 kg

Correct answer: (D)

Step-by-step solution →
Q26·PhysicsSingle correct
In a Young's double slit experiment the ratio of the slit's width is 4 : 1. The ratio of the intensity of maxima to minima, close to central fringe on the screen will be
  1. (A)(3+1)4:16\left(\sqrt{3} + 1\right)^{4} : 16(3​+1)4:16
  2. (B)25 : 9
  3. (C)9 : 1
  4. (D)4:1

Correct answer: (C)

Step-by-step solution →
Q27·PhysicsSingle correct
A source of sound S is moving with the velocity of 50 m/s towards a stationary observer. The observer measures the frequency of the sound as 1000 Hz. What will be the apparent frequency of the source when it is moving away from the observer after crossing him? (Take velocity of sound in air is 350 m/s)
  1. (A)1143 Hz
  2. (B)857 Hz
  3. (C)750 Hz
  4. (D)807 Hz

Correct answer: (C)

Step-by-step solution →
Q28·PhysicsSingle correct
A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop will be
  1. (A)mπ\dfrac{m}{π}πm​
  2. (B)3mπ\dfrac{3m}{π}π3m​
  3. (C)4mπ\dfrac{4m}{π}π4m​
  4. (D)2mπ\dfrac{2m}{π}π2m​

Correct answer: (C)

Step-by-step solution →

Chemistry — JEE Main 10 April 2019 Shift 2

Q29·ChemistrySingle correct
The difference between ΔH and ΔU (ΔH - ΔU), when the combustion of one mole of heptane(I) is carried out a temperature T is equal to
  1. (A)-4 RT
  2. (B)-3 RT
  3. (C)3 RT
  4. (D)4 RT

Correct answer: (A)

Step-by-step solution →
Q30·ChemistrySingle correct
The major product obtained in the given reaction is
  1. (A)(A)
  2. (B)(B)
  3. (C)(C)
  4. (D)(D)

Correct answer: (C)

Step-by-step solution →
Q31·ChemistrySingle correct
The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The spectral series are:
  1. (A)Lyman and Paschen
  2. (B)Brackett and Pfund
  3. (C)Paschen and Pfund
  4. (D)Balmer and Brackett

Correct answer: (A)

Step-by-step solution →
Q32·ChemistrySingle correct
The correct order of the first ionization enthalpies is
  1. (A)Mn < Ti < Zn < Ni
  2. (B)Zn < Ni < Mn < Ti
  3. (C)Ti < Mn < Zn < Ni
  4. (D)Ti < Mn < Ni < Zn

Correct answer: (D)

Step-by-step solution →
Q33·ChemistrySingle correct
The correct statements among (a) to (b) are: (a) saline hydrides produce H2_22​ gas when reacted with H2_22​O. (b) reaction of LiAH4_44​ with BF3_33​ leads to B2_22​H6_66​. (c) PH3_33​ and CH4_44​ are electron - rich and electron-precise hydrides, respectively. (d) HF and CH4_44​ are called as molecular hydrides.
  1. (A)(c) and (d) only
  2. (B)(a), (b) and (c) only
  3. (C)(a), (b), (c) and (d)
  4. (D)(a), (c) and (d) only

Correct answer: (C)

Step-by-step solution →
Q34·ChemistrySingle correct
Air pollution that occurs in sunlight is:
  1. (A)oxidising smog
  2. (B)acid rain
  3. (C)reducing smog
  4. (D)fog

Correct answer: (A)

Step-by-step solution →
Q35·ChemistrySingle correct
For the re action of H2_22​ w i t h I2_22​, the rate constant is 2.5×10−42.5 \times 10^{-4}2.5×10−4 dm3^33 mol−1^{-1}−1 s−1^{-1}−1 at 327°C and 1.0 dm3^33 mol−1^{-1}−1 s−1^{-1}−1 at 527°C. The activation energy for the reaction, in kJ mol−1^{-1}−1 is: (R = 8.314 J K−1^{-1}−1 mol−1^{-1}−1)
  1. (A)72
  2. (B)166
  3. (C)150
  4. (D)59

Correct answer: (B)

Step-by-step solution →
Q36·ChemistrySingle correct
In chromatography, which of the following statements is INCORRECT for Rf_ff​?
  1. (A)Rf_ff​ value depends on the type of chromatography.
  2. (B)The value of Rf_ff​ can not be more than one.
  3. (C)Higher Rf_ff​ value means higher adsorption.
  4. (D)Rf_ff​ value is dependent on the mobile phase.

Correct answer: (C)

Step-by-step solution →
Q37·ChemistrySingle correct
A hydrated solid X on heating initially gives a monohydrated compound Y. Y upon heating above 373K leads to an anhydrous white powder Z. X and Z, respectively, are:
  1. (A)Washing soda and soda ash.
  2. (B)Washing soda and dead burnt plaster.
  3. (C)Baking soda and dead burnt plaster.
  4. (D)Baking soda and soda ash.

Correct answer: (A)

Step-by-step solution →
Q38·ChemistrySingle correct
The INCORRECT statement is:
  1. (A)the spin-only magnetic moments of [Fe(H2_22​O)6_66​]2+^{2+}2+ and [Cr(H2_22​O)6_66​]2+^{2+}2+ are nearly similar.
  2. (B)the spin-only magnetic moment of [Ni(NH3_33​)4_44​(H2_22​O)2_22​]2+^{2+}2+ is 2.83 BM.
  3. (C)the gemstone, ruby, has Cr3+^{3+}3+ ions occupying the octahedral sites of beryl.
  4. (D)the color of [CoCl(NH3_33​)5_55​]2+^{2+}2+ is violet as it absorbs the yellow light.

Correct answer: (C)

Step-by-step solution →
Q39·ChemistrySingle correct
Which of these factors does not govern the stability of a conformation in acyclic compounds?
  1. (A)Torsional strain
  2. (B)Angle strain
  3. (C)Steric interactions
  4. (D)Electrostatic forces of interaction

Correct answer: (B)

Step-by-step solution →
Q40·ChemistrySingle correct
The correct statement is:
  1. (A)zincite is a carbonate ore
  2. (B)aniline is a froth stabilizer
  3. (C)zone refining process is used for the refining of titanium
  4. (D)sodium cyanide cannot be used in the metallurgy of silver

Correct answer: (B)

Step-by-step solution →
Q41·ChemistrySingle correct
For the reaction, 2SO2(g)+O2(g)⟶2SO3(g)2\mathrm{SO}_2(\mathrm{g}) + \mathrm{O}_2(\mathrm{g}) \longrightarrow 2\mathrm{SO}_3(\mathrm{g})2SO2​(g)+O2​(g)⟶2SO3​(g) ΔH=−57.2\Delta_H = -57.2ΔH​=−57.2 kJ mol−1^{-1}−1 and KC=1.7×1016\mathrm{K}_\mathrm{C} = 1.7 \times 10^{16}KC​=1.7×1016 Which of the following statement is INCORRECT?
  1. (A)The equilibrium constant is large suggestive of reaction going to completion and so no catalyst is required.
  2. (B)The equilibrium will shift in forward direction as the pressure increase.
  3. (C)The equilibrium constant decreases as the temperature increases.
  4. (D)The addition of inert gas at constant volume will not affect the equilibrium constant.

Correct answer: (A)

Step-by-step solution →
Q42·ChemistrySingle correct
The increasing order of nucleophilicity of the following nucleophiles is : (a) CH3_33​CO2−_2^-2−​ (b) H2_22​O (c) CH3_33​SO3−_3^-3−​ (d) O‾\overline{\mathrm{O}}OH
  1. (A)(b) < (c) < (a) < (d)
  2. (B)(a) < (d) < (c) < (b)
  3. (C)(d) < (a) < (c) < (b)
  4. (D)(b) < (c) < (d) < (a)

Correct answer: (A)

Step-by-step solution →
Q43·ChemistrySingle correct
The correct match between Item-I and Item-II is:
Item-IItem-II
(a).High density polythene(I).Peroxide catalyst
(b).Polyacrylonitrile(II).Condensation at high temperature & pressure
(c).Novolac(III).Ziegler-Natta Catalyst
(d).Nylon 6(IV).Acid or base catalyst
  1. (A)(a) → (III), (b)→(I), (c)→(II), (d)→(IV)
  2. (B)(a)→(IV), (b)→(II), (c)→(I), (d)→(III)
  3. (C)(a)→(II), (b)→(IV), (c)→(I), (d)→(III)
  4. (D)(a)→(III), (b)→(I), (c)→(IV), (d)→(II)

Correct answer: (D)

Step-by-step solution →
Q44·ChemistrySingle correct
The major product 'Y' in the following reaction is:-
  1. (A)(A)
  2. (B)(B)
  3. (C)(C)
  4. (D)(D)

Correct answer: (A)

Step-by-step solution →
Q45·ChemistrySingle correct
Points I, II and III in the following plot respectively correspond to (Vmp_{\mathrm{m}\mathrm{p}}mp​ : most probable velocity)
  1. (A)Vmp_{\mathrm{m}\mathrm{p}}mp​ of N2_22​ (300K); Vmp_{\mathrm{m}\mathrm{p}}mp​ of H2_22​(300K); Vmp_{\mathrm{m}\mathrm{p}}mp​ of O2_22​(400K)
  2. (B)Vmp_{\mathrm{m}\mathrm{p}}mp​ of H2_22​ (300K); Vmp_{\mathrm{m}\mathrm{p}}mp​ of N2_22​(300K); Vmp_{\mathrm{m}\mathrm{p}}mp​ of O2_22​(400K)
  3. (C)Vmp_{\mathrm{m}\mathrm{p}}mp​ of O2_22​ (400K); Vmp_{\mathrm{m}\mathrm{p}}mp​ of N2_22​(300K); Vmp_{\mathrm{m}\mathrm{p}}mp​ of H2_22​(300K)
  4. (D)Vmp_{\mathrm{m}\mathrm{p}}mp​ of N2_22​ (300K); Vmp_{\mathrm{m}\mathrm{p}}mp​ of O2_22​(400K); Vmp_{\mathrm{m}\mathrm{p}}mp​ of H2_22​(300K)

Correct answer: (D)

Step-by-step solution →
Q46·ChemistrySingle correct
The highest possible oxidation states of uranium and plutonium, respectively, are
  1. (A)6 and 4
  2. (B)7 and 6
  3. (C)4 and 6
  4. (D)6 and 7

Correct answer: (D)

Step-by-step solution →
Q47·ChemistrySingle correct
Compound A (C9_99​H10_{10}10​O) shows positive iodoform test. Oxidation of A with KMnO4_44​/KOH gives acid B(C8_88​H6_66​O4_44​). Anhydride of B is used for the preparation of phenolphthalein. Compound A is:-
  1. (A)(A)
  2. (B)(B)
  3. (C)(C)
  4. (D)(D)

Correct answer: (A)

Step-by-step solution →
Q48·ChemistrySingle correct
The noble gas that does NOT occur in the atmosphere is:
  1. (A)He
  2. (B)Ra
  3. (C)Ne
  4. (D)Kr

Correct answer: (B)

Step-by-step solution →
Q49·ChemistrySingle correct
The pH of a 0.02 M NH4_44​Cl solution will be [given Kb_bb​ (NH4_44​OH) = 10−5^{-5}−5 and log 2 = 0.301]
  1. (A)2.65
  2. (B)5.35
  3. (C)4.35
  4. (D)4.65

Correct answer: (B)

Step-by-step solution →
Q50·ChemistrySingle correct
The crystal field stabilization energy (CFSE) of [Fe(H2_22​O)6_66​]Cl2_22​ and K2_22​[NiCl4_44​], respectively, are :-
  1. (A)−0.4Δo_oo​ and −0.8Δt_tt​
  2. (B)−0.4Δo_oo​ and −1.2Δt_tt​
  3. (C)−2.4Δo_oo​ and −1.2Δt_tt​
  4. (D)−0.6Δo_oo​ and −0.8Δt_tt​

Correct answer: (A)

Step-by-step solution →
Q51·ChemistrySingle correct
The correct option among the following is:
  1. (A)Colloidal particles in lyophobic sols can be precipitated by electrophoresis.
  2. (B)Brownian motion in colloidal solution is faster the viscosity of the solution is very high.
  3. (C)Colloidal medicines are more effective because they have small surface area.
  4. (D)Addition of alum to water makes it unfit for drinking.

Correct answer: (A)

Step-by-step solution →
Q52·ChemistrySingle correct
Which one of the following graphs between molar conductivity (Λm_mm​) versus C\sqrt{C}C​ is correct?
  1. (A)(A)
  2. (B)(B)
  3. (C)(C)
  4. (D)(D)

Correct answer: (B)

Step-by-step solution →
Q53·ChemistrySingle correct
1 g of non-volatile non-electrolyte solute is dissolved in 100g of two different solvents A and B whose ebullioscopic constants are in the ratio of 1 : 5. The ratio of the elevation in their boiling points, ΔTb(A)ΔTb(B)\dfrac{\Delta T_b(A)}{\Delta T_b(B)}ΔTb​(B)ΔTb​(A)​ is :
  1. (A)5 : 1
  2. (B)10 : 1
  3. (C)1 : 5
  4. (D)1 : 0.2

Correct answer: (C)

Step-by-step solution →
Q54·ChemistrySingle correct
Which of the following is NOT a correct method of the preparation of benzylamine from cyanobenzene?
  1. (A)(i) HCl/H2_22​O (ii) NaBH4_44​
  2. (B)(i) LiAlH4_44​ (ii) H3_33​O+
  3. (C)(i) SnCl2_22​ + HCl(gas) (ii) NaBH4_44​
  4. (D)H2_22​/Ni

Correct answer: (A)

Step-by-step solution →
Q55·ChemistrySingle correct
The number of pentagons in C60_{60}60​ and trigons (triangles) in white phosphorus, respectively, are:
  1. (A)12 and 3
  2. (B)20 and 4
  3. (C)12 and 4
  4. (D)20 and 3

Correct answer: (C)

Step-by-step solution →
Q56·ChemistrySingle correct
The minimum amount of O2_22​(g) consumed per gram of reactant is for the reaction : (Given atomic mass : Fe = 56, O = 16, Mg = 24, P = 31, C = 12, H = 1)
  1. (A)C3_33​H8_88​(g) + 5O2_22​(g) → 3 CO2_22​(g) + 4 H2_22​O(lll)
  2. (B)P4_44​(s) + 5O2_22​(g) → P4_44​O10_{10}10​(s)
  3. (C)4Fe(s) + 3O2_22​(g) → 2 Fe2_22​O3_33​(s)
  4. (D)2 Mg(s) + O2_22​(g) → 2 MgO(s)

Correct answer: (C)

Step-by-step solution →
Q57·ChemistrySingle correct
Number of stereo centers present in linear and cyclic structures of glucose are respectively
  1. (A)4 & 5
  2. (B)5 & 5
  3. (C)4 & 4
  4. (D)5 & 4

Correct answer: (A)

Step-by-step solution →
Q58·ChemistrySingle correct
The major product 'Y' in the following reaction is:
  1. (A)(A)
  2. (B)(B)
  3. (C)(C)
  4. (D)(D)

Correct answer: (C)

Step-by-step solution →

Mathematics — JEE Main 10 April 2019 Shift 2

Q59·MathematicsSingle correct
The sum of the real roots of the equation ∣x−6−12−3xx−3−32xx=2∣=0\begin{vmatrix} x & -6 & -1 \\ 2 & -3x & x - 3 \\ -3 & 2x & x = 2 \end{vmatrix} = 0​x2−3​−6−3x2x​−1x−3x=2​​=0 is equal to
  1. (A)-4
  2. (B)0
  3. (C)6
  4. (D)1

Correct answer: (B)

Step-by-step solution →
Q60·MathematicsSingle correct
Lines are drawn parallel to the line 4x − 3y + 2 = 0 at a distance 35\dfrac{3}{5}53​ from the origin. Then which one of the following points lies on any of these lines?
  1. (A)(−14,23)\left(-\dfrac{1}{4}, \dfrac{2}{3}\right)(−41​,32​)
  2. (B)(14,13)\left(\dfrac{1}{4}, \dfrac{1}{3}\right)(41​,31​)
  3. (C)(14,−13)\left(\dfrac{1}{4}, -\dfrac{1}{3}\right)(41​,−31​)
  4. (D)(−14,−23)\left(-\dfrac{1}{4}, -\dfrac{2}{3}\right)(−41​,−32​)

Correct answer: (A)

Step-by-step solution →
Q61·MathematicsSingle correct
If the tangent to the curve y=xx2−3y = \dfrac{x}{x^{2} - 3}y=x2−3x​, x∈R,(x≠±3)x \in R, \left(x \neq \pm\sqrt{3}\right)x∈R,(x=±3​) at a point (α, β) ≠ (0, 0) on it is parallel to the line 2x + 6y − 11 = 0 then
  1. (A)∣2α+6β∣=11|2\alpha + 6\beta| = 11∣2α+6β∣=11
  2. (B)∣2α+6β∣=19|2\alpha + 6\beta| = 19∣2α+6β∣=19
  3. (C)∣6α+2β∣=19|6\alpha + 2\beta| = 19∣6α+2β∣=19
  4. (D)∣6α+2β∣=9|6\alpha + 2\beta| = 9∣6α+2β∣=9

Correct answer: (C)

Step-by-step solution →
Q62·MathematicsSingle correct
The distance of the point having position vector −i^+2j^+6k^-\hat{i} + 2\hat{j} + 6\hat{k}−i^+2j^​+6k^ from the straight line passing through the point (2, 3, -4) and parallel to the vector 6i^+3j^−4k^6\hat{i} + 3\hat{j} - 4\hat{k}6i^+3j^​−4k^ is
  1. (A)7
  2. (B)434\sqrt{3}43​
  3. (C)2132\sqrt{13}213​
  4. (D)6

Correct answer: (A)

Step-by-step solution →
Q63·MathematicsSingle correct
If the line ax + y = c, touches both the curves x2+y2=1x^{2} + y^{2} = 1x2+y2=1 and y2−42 xy^{2} - 4\sqrt{2}\,xy2−42​x, then |c| is equal to
  1. (A)12\dfrac{1}{\sqrt{2}}2​1​
  2. (B)2\sqrt{2}2​
  3. (C)12\dfrac{1}{2}21​
  4. (D)2

Correct answer: (B)

Step-by-step solution →
Q64·MathematicsSingle correct
Let f(x) = loge_ee​(sinx), (0 < x < π) and g(x) = sin⁡−1(e−x)\sin^{-1}(e^{-x})sin−1(e−x), (x ≥ 0). If α is a positive real number such that a = (fog)'(α) and b = (fog)(α), then
  1. (A)aα2+bα−a=2α2a\alpha^{2} + b\alpha - a = 2\alpha^{2}aα2+bα−a=2α2
  2. (B)aα2−bα−a=0a\alpha^{2} - b\alpha - a = 0aα2−bα−a=0
  3. (C)aα2−bα−a=1a\alpha^{2} - b\alpha - a = 1aα2−bα−a=1
  4. (D)aα2+bα+a=0a\alpha^{2} + b\alpha + a = 0aα2+bα+a=0

Correct answer: (C)

Step-by-step solution →
Q65·MathematicsSingle correct
If 5x + 9 = 0 is the directrix of the hyperbola 16x2−9y2=14416x^{2} - 9y^{2} = 14416x2−9y2=144, then its corresponding focus is
  1. (A)(5, 0)
  2. (B)(53,0)\left(\dfrac{5}{3}, 0\right)(35​,0)
  3. (C)(-5, 0)
  4. (D)(−53,0)\left(-\dfrac{5}{3}, 0\right)(−35​,0)

Correct answer: (C)

Step-by-step solution →
Q66·MathematicsSingle correct
If cos⁡−1x−cos⁡−1y2=α\cos^{-1}x - \cos^{-1}\dfrac{y}{2} = \alphacos−1x−cos−12y​=α, where -1 ≤ x ≤ 1, − 2 ≤ y ≤ 2, x≤y2x \le \dfrac{y}{2}x≤2y​, then for all x, y, 4x2−4xycos⁡α+y24x^{2} - 4xy \cos \alpha + y^{2}4x2−4xycosα+y2 is equal to
  1. (A)4sin⁡2α−2x2y24 \sin^{2}\alpha - 2x^{2}y^{2}4sin2α−2x2y2
  2. (B)4cos⁡2α+2x2y24 \cos^{2}\alpha + 2x^{2}y^{2}4cos2α+2x2y2
  3. (C)2sin⁡2α2 \sin^{2}\alpha2sin2α
  4. (D)4sin⁡2α4 \sin^{2}\alpha4sin2α

Correct answer: (D)

Step-by-step solution →
Q67·MathematicsSingle correct
The locus of the centres of the circles, which touch the circle, x2+y2=1x^{2} + y^{2} = 1x2+y2=1 externally, also touch the y-axis and lie in the first quadrant is
  1. (A)x=1+2y,y≥0x = \sqrt{1 + 2y}, y \ge 0x=1+2y​,y≥0
  2. (B)y=1+4x,x≥0y = \sqrt{1 + 4x}, x \ge 0y=1+4x​,x≥0
  3. (C)x=1+4y,y≥0x = \sqrt{1 + 4y}, y \ge 0x=1+4y​,y≥0
  4. (D)y=1+2x,x≥0y = \sqrt{1 + 2x}, x \ge 0y=1+2x​,x≥0

Correct answer: (D)

Step-by-step solution →
Q68·MathematicsSingle correct
Let a1a_1a1​, a2a_2a2​, a3a_3a3​, …… be and A.P with a6a_6a6​ = 2. Then the common difference of this A.P., which maximizes the product a1a4a5a_1a_4a_5a1​a4​a5​ is
  1. (A)32\dfrac{3}{2}23​
  2. (B)85\dfrac{8}{5}58​
  3. (C)23\dfrac{2}{3}32​
  4. (D)65\dfrac{6}{5}56​

Correct answer: (B)

Step-by-step solution →
Q69·MathematicsSingle correct
The smallest natural number n, such that the coefficient of x in the expansion of (x2+1x3)n\left(x^{2} + \dfrac{1}{x^{3}}\right)^{n}(x2+x31​)n is nC23^{n}C_{23}nC23​ is
  1. (A)38
  2. (B)58
  3. (C)23
  4. (D)35

Correct answer: (A)

Step-by-step solution →
Q70·MathematicsSingle correct
Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar has been connected by beams with the top of all its non-adjacent pillars, then the total number of beams is
  1. (A)210
  2. (B)180
  3. (C)170
  4. (D)190

Correct answer: (C)

Step-by-step solution →
Q71·MathematicsSingle correct
A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm3cm^{3}cm3/min. When the thickness of the ice is 5 cm, then the rate at which the thickness (in cm/min) of ice decreases is
  1. (A)136π\dfrac{1}{36\pi}36π1​
  2. (B)56π\dfrac{5}{6\pi}6π5​
  3. (C)19π\dfrac{1}{9\pi}9π1​
  4. (D)118π\dfrac{1}{18\pi}18π1​

Correct answer: (D)

Step-by-step solution →
Q72·MathematicsSingle correct
If both the means and the standard deviation of 50 observations x1x_1x1​, x2x_2x2​, ………, x50x_{50}x50​ are equal to 16, then the mean of (x1−4)2(x_1 - 4)^{2}(x1​−4)2, (x2−4)2(x_2 - 4)^{2}(x2​−4)2, …., (x50−4)2(x_{50} - 4)^{2}(x50​−4)2 is
  1. (A)400
  2. (B)380
  3. (C)525
  4. (D)480

Correct answer: (A)

Step-by-step solution →
Q73·MathematicsSingle correct
The number of real roots of the equation 5+∣2x−1∣=2x(2x−2)5 + |2^{x} - 1| = 2^{x}(2^{x} - 2)5+∣2x−1∣=2x(2x−2) is
  1. (A)4
  2. (B)3
  3. (C)2
  4. (D)1

Correct answer: (D)

Step-by-step solution →
Q74·MathematicsSingle correct
The tangent and normal to the ellipse 3x2+5y2=323x^{2} + 5y^{2} = 323x2+5y2=32 at the point P(2,2)P(2, 2)P(2,2) meet the x-axis at Q and R, respectively. Then the area(in sq. units) of the triangle PQR is
  1. (A)3415\dfrac{34}{15}1534​
  2. (B)6815\dfrac{68}{15}1568​
  3. (C)143\dfrac{14}{3}314​
  4. (D)163\dfrac{16}{3}316​

Correct answer: (B)

Step-by-step solution →
Q75·MathematicsSingle correct
A perpendicular is drawn from a point on the line x−12=y+1−1=z1\dfrac{x-1}{2} = \dfrac{y+1}{-1} = \dfrac{z}{1}2x−1​=−1y+1​=1z​ to the plane x+y+z=3x + y + z = 3x+y+z=3 such that the foot of the perpendicular Q also lies on the plane x−y+z=3x - y + z = 3x−y+z=3. Then the co-ordinates of Q are
  1. (A)(2,0,1)(2, 0, 1)(2,0,1)
  2. (B)(−1,0,4)(-1, 0, 4)(−1,0,4)
  3. (C)(1,0,2)(1, 0, 2)(1,0,2)
  4. (D)(4,0,−1)(4, 0, -1)(4,0,−1)

Correct answer: (A)

Step-by-step solution →
Q76·MathematicsSingle correct
The integral ∫π/6π/3sec⁡2/3x cosec⁡4/3x dx\int_{\pi/6}^{\pi/3} \sec^{2/3} x \, \operatorname{cosec}^{4/3} x \, dx∫π/6π/3​sec2/3xcosec4/3xdx is equal to
  1. (A)35/6−32/33^{5/6} - 3^{2/3}35/6−32/3
  2. (B)35/3−31/33^{5/3} - 3^{1/3}35/3−31/3
  3. (C)37/6−35/63^{7/6} - 3^{5/6}37/6−35/6
  4. (D)34/3−31/33^{4/3} - 3^{1/3}34/3−31/3

Correct answer: (C)

Step-by-step solution →
Q77·MathematicsSingle correct
The angles A, B and C of a triangle ABC are in A.P and a:b=1:3a : b = 1 : \sqrt{3}a:b=1:3​. If c=4c = 4c=4 cm, then the area (in sq. cm) of this triangle is
  1. (A)232\sqrt{3}23​
  2. (B)43\dfrac{4}{\sqrt{3}}3​4​
  3. (C)434\sqrt{3}43​
  4. (D)23\dfrac{2}{\sqrt{3}}3​2​

Correct answer: (A)

Step-by-step solution →
Q78·MathematicsSingle correct
Let a, b and c be in G.P with common ratio r, where a≠0a \neq 0a=0 and 0<r≤120 < r \leq \dfrac{1}{2}0<r≤21​. If 3a, 7b and 15c are the first three terms of an A.P., then the 4th4^{\text{th}}4th term of this A.P is
  1. (A)23a\dfrac{2}{3}a32​a
  2. (B)73a\dfrac{7}{3}a37​a
  3. (C)5a5a5a
  4. (D)aaa

Correct answer: (D)

Step-by-step solution →
Q79·MathematicsSingle correct
If the plane 2x−y+2z+3=02x - y + 2z + 3 = 02x−y+2z+3=0 has the distances 13\dfrac{1}{3}31​ and 23\dfrac{2}{3}32​ units from the planes 4x−2y+4z+λ=04x - 2y + 4z + \lambda = 04x−2y+4z+λ=0 and 2x−y+2z+μ=02x - y + 2z + \mu = 02x−y+2z+μ=0, respectively, then the maximum value of λ+μ\lambda + \muλ+μ us equal to
  1. (A)15
  2. (B)13
  3. (C)5
  4. (D)9

Correct answer: (B)

Step-by-step solution →
Q80·MathematicsSingle correct
The area(in sq. units) of the region bounded by the curves y=2xy = 2^{x}y=2x and y=∣x+1∣y = |x + 1|y=∣x+1∣ in the first quadrant is
  1. (A)32\dfrac{3}{2}23​
  2. (B)log⁡e2+32\log_{e} 2 + \dfrac{3}{2}loge​2+23​
  3. (C)32−1log⁡e2\dfrac{3}{2} - \dfrac{1}{\log_{e} 2}23​−loge​21​
  4. (D)12\dfrac{1}{2}21​

Correct answer: (C)

Step-by-step solution →
Q81·MathematicsSingle correct
Let λ\lambdaλ be a real number for which the system of linear equations x+y+z=6x + y + z = 6x+y+z=6 4x+λy−λz=λ−24x + \lambda y - \lambda z = \lambda - 24x+λy−λz=λ−2 3x+2y−4z=−53x + 2y - 4z = -53x+2y−4z=−5 Has indefinitely many solutions. Then λ\lambdaλ is a root of the quadratic equation
  1. (A)λ2−λ−6=0\lambda^{2} - \lambda - 6 = 0λ2−λ−6=0
  2. (B)λ2−3λ−4=0\lambda^{2} - 3\lambda - 4 = 0λ2−3λ−4=0
  3. (C)λ2+3λ−4=0\lambda^{2} + 3\lambda - 4 = 0λ2+3λ−4=0
  4. (D)λ2+λ−6=0\lambda^{2} + \lambda - 6 = 0λ2+λ−6=0

Correct answer: (A)

Step-by-step solution →
Q82·MathematicsSingle correct
The sum 1+13+231+2+13+23+331+2+3+…+13+23+33+…+1531+2+3+…+15−12(1+2+3+…+15)1 + \dfrac{1^{3} + 2^{3}}{1 + 2} + \dfrac{1^{3} + 2^{3} + 3^{3}}{1 + 2 + 3} + \ldots + \dfrac{1^{3} + 2^{3} + 3^{3} + \ldots + 15^{3}}{1 + 2 + 3 + \ldots + 15} - \dfrac{1}{2}\left(1 + 2 + 3 + \ldots + 15\right)1+1+213+23​+1+2+313+23+33​+…+1+2+3+…+1513+23+33+…+153​−21​(1+2+3+…+15) is equal to
  1. (A)620
  2. (B)1860
  3. (C)1240
  4. (D)660

Correct answer: (A)

Step-by-step solution →
Q83·MathematicsSingle correct
Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is more than 99% is
  1. (A)8
  2. (B)6
  3. (C)7
  4. (D)5

Correct answer: (C)

Step-by-step solution →
Q84·MathematicsSingle correct
The negation of the Boolean expression ∼s∨(∼r∧s)\sim s \vee (\sim r \wedge s)∼s∨(∼r∧s) is equivalent to
  1. (A)s∨rs \vee rs∨r
  2. (B)∼s∧∼r\sim s \wedge \sim r∼s∧∼r
  3. (C)rrr
  4. (D)s∧rs \wedge rs∧r

Correct answer: (D)

Step-by-step solution →
Q85·MathematicsSingle correct
If ∫x5e−x2dx=g(x)e−x2+c\int x^{5} e^{-x^{2}} dx = g(x) e^{-x^{2}} + c∫x5e−x2dx=g(x)e−x2+c, where c is a constant of integration, then g(−1)g(-1)g(−1) is equal to
  1. (A)-1
  2. (B)1
  3. (C)−52-\dfrac{5}{2}−25​
  4. (D)−12-\dfrac{1}{2}−21​

Correct answer: (C)

Step-by-step solution →
Q86·MathematicsSingle correct
If z and w are two complex numbers such that ∣zw∣=1|zw| = 1∣zw∣=1 and arg⁡(z)−arg⁡(w)=π2\arg(z) - \arg(w) = \dfrac{\pi}{2}arg(z)−arg(w)=2π​, then
  1. (A)zˉw=i\bar{z}w = izˉw=i
  2. (B)zwˉ=−1+i2z\bar{w} = \dfrac{-1 + i}{\sqrt{2}}zwˉ=2​−1+i​
  3. (C)zwˉ=1−i2z\bar{w} = \dfrac{1 - i}{\sqrt{2}}zwˉ=2​1−i​
  4. (D)zˉw=−i\bar{z}w = -izˉw=−i

Correct answer: (D)

Step-by-step solution →

Chapters tested in this paper

Open any chapter to practise every past-year question on that topic across all papers, and see how often it has actually appeared.

  • Properties of Solids and Liquids 172/186
  • Three Dimensional Geometry 176/186
  • Matrices and Determinants 180/186
  • Coordination Compounds 176/186
  • Current Electricity 160/186
  • Sequence and Series 164/186
  • p-Block Elements 164/186
  • Definite Integration 168/186
  • Rotational Motion 172/186
  • Redox Reactions and Electrochemistry 177/186
  • Geometrical Optics 172/186
  • Kinematics 156/186
  • Probability 176/186
  • Permutations and Combinations 162/186
  • Magnetic Field of Current 147/186
  • Binomial Theorem and Its Simple Applications 158/186
  • Electromagnetic Waves 144/186
  • Application of Derivatives 139/186
  • d- and f-Block Elements 126/186
  • Thermodynamics 154/186
  • Aldehydes and Ketones 135/186
  • Equilibrium 163/186
  • Solutions 158/186
  • Laws of Motion 130/186
  • Chemical Thermodynamics 165/186
  • Units and Measurements 149/186
  • Hydrocarbons 126/186
  • Complex Numbers 165/186
  • Trigonometric Functions 144/186
  • Biomolecules 162/186
  • Chemical Kinetics 169/186
  • Gravitation 152/186
  • Atomic Structure 161/186
  • Electronic Devices 145/186
  • Circles 142/186
  • Dual Nature of Matter and Radiation 155/186
  • Amines 133/186
  • Quadratic Equations 148/186
  • Work, Energy and Power 132/186
  • Some Basic Concepts in Chemistry 129/186
  • Electromagnetic Induction 120/186
  • Wave Optics 130/186
  • Area Under Curves 139/186
  • Kinetic Theory of Gases 135/186
  • Purification and Characterisation of Organic Compounds 116/186
  • Oscillations 117/186
  • Nuclei 116/186
  • Organic Compounds Containing Halogens 109/186
  • Straight Lines 114/186
  • Waves 109/186
  • Atoms 112/186
  • Parabola 101/186
  • Statistics 118/186
  • Ellipse 103/186
  • Isolation of Metals 106/186
  • Differentiability 91/186
  • s-Block Elements 88/186
  • Surface Chemistry 98/186
  • Inverse Trigonometric Functions 93/186
  • Environmental Chemistry 83/186
  • Hydrogen 81/186
  • Hyperbola 77/186
  • Indefinite Integration 66/186
  • Polymers 64/186
  • Carboxylic Acids and Derivatives 54/186
  • States of Matter: Gases and Liquids 52/186
  • Isomerism 51/186
  • Reaction Mechanism 29/186
  • Mathematical Reasoning 26/186
← 10 Apr Shift 1 2019All papers12 Apr Shift 1 2019 →

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