JEE Main 24 January 2025 Shift 1 Question Paper

Question 1

Let $\vec a=\hat i+2\hat j+3\hat k$, $\vec b=3\hat i+\hat j-\hat k$ and $\vec c$ be three vectors such that $\vec c$ is coplanar with $\vec a$ and $\vec b$. If the vector $\vec c$ is perpendicular to $\vec b$ and $\vec a\cdot\vec c=5$, then $|\vec c|$ is equal to

Accepted Answer

(D) $\sqrt{\dfrac{11}{6}}$

Answer

(A) $\dfrac{1}{3\sqrt2}$

Answer

(B) $18$

Answer

(C) $16$

Question 2

In $I(m,n)=\int_0^1 x^{m-1}(1-x)^{n-1}dx$, $m,n>0$, then $I(9,14)+I(10,13)$ is

Accepted Answer

(D) $I(9,13)$

Answer

(A) $I(9,1)$

Answer

(B) $I(19,27)$

Answer

(C) $I(1,13)$

Question 3

Let $f:\mathbb{R}-\{0\}	o\mathbb{R}$ be a function such that $f(x)-6f\left(\dfrac{1}{x}ight)=\dfrac{35}{3x}-\dfrac{5}{2}$. If $\lim_{x	o 0}\left(\dfrac{1}{\alpha x}+f(x)ight)=\beta$; $\alpha,\beta\in\mathbb{R}$, then $\alpha+2\beta$ is equal to

Accepted Answer

(C) $4$

Answer

(A) $3$

Answer

(B) $5$

Answer

(D) $6$

Question 4

Let $S_n=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\ldots$ upto n terms. If the sum of the first six terms of an A.P. with first term $-p$ and common difference $p$ is $\sqrt{2026\,S_{2025}}$, then the absolute difference between $20^{th}$ and $15^{th}$ terms of the A.P. is

Accepted Answer

(A) $25$

Answer

(B) $90$

Answer

(C) $20$

Answer

(D) $45$

Question 5

Let $f(x)=\dfrac{2^{x+2}+16}{2^{2x+1}+2^{x+4}+32}$. Then the value of $8\left(f\left(\dfrac{1}{15}\right)+f\left(\dfrac{2}{15}\right)+\ldots+f\left(\dfrac{59}{15}\right)\right)$ is equal to

Accepted Answer

(A) $118$

Answer

(B) $92$

Answer

(C) $102$

Answer

(D) $108$

Question 6

If $\alpha$ and $\beta$ are the roots of the equation $2z^2-3z-2i=0$, where $i=\sqrt{-1}$, then $16\cdot\mathrm{Re}\left(\dfrac{\alpha^{19}+\beta^{19}+\alpha^{11}+\beta^{11}}{\alpha^{15}+\beta^{15}}\right)\cdot\mathrm{Im}\left(\dfrac{\alpha^{19}+\beta^{19}+\alpha^{11}+\beta^{11}}{\alpha^{15}+\beta^{15}}\right)$ is equal to

Accepted Answer

(D) $441$

Answer

(A) $398$

Answer

(B) $312$

Answer

(C) $409$

Question 7

$\lim_{x	o 0}\operatorname{cosec}x\left(\sqrt{2\cos^2 x+3\cos x}-\sqrt{\cos^2 x+\sin x+4}ight)$ is

Accepted Answer

(D) $-\dfrac{1}{2\sqrt5}$

Answer

(A) $0$

Answer

(B) $\dfrac{1}{2\sqrt5}$

Answer

(C) $\dfrac{1}{\sqrt{15}}$

Question 8

Let in a $	riangle ABC$, the length of the side AC be 6, the vertex B be $(1,2,3)$ and the vertices A, C lie on the line $\dfrac{x-6}{3}=\dfrac{y-7}{2}=\dfrac{z-7}{-2}$. Then the area (in sq. units) of $	riangle ABC$ is

Accepted Answer

(B) $21$

Answer

(A) $42$

Answer

(C) $56$

Answer

(D) $17$

Question 9

Let $y=y(x)$ be the solution of the differential equation $(xy-5x^2\sqrt{1+x^2})dx+(1+x^2)dy=0$, $y(0)=0$. Then $y(\sqrt3)$ is equal to

Accepted Answer

(A) $\dfrac{5\sqrt3}{2}$

Answer

(B) $\sqrt{\dfrac{14}{3}}$

Answer

(C) $2\sqrt2$

Answer

(D) $\sqrt{\dfrac{15}{2}}$

Question 10

Let the product of the focal distances of the point $\left(\sqrt3,\dfrac{1}{2}\right)$ on the ellipse $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$, $(a>b)$, be $\dfrac{7}{4}$. Then the absolute difference of the eccentricities of two such ellipses is

Accepted Answer

(C) $\dfrac{3-2\sqrt2}{2\sqrt3}$

Answer

(A) $\dfrac{3-2\sqrt2}{3\sqrt2}$

Answer

(B) $\dfrac{1-\sqrt3}{\sqrt2}$

Answer

(D) $\dfrac{1-\sqrt2}{\sqrt3}$

Question 11

A and B alternately throw a pair of dice. A wins if he throws a sum of 5 before B throws a sum of 8, and B wins if he throws a sum of 8 before A throws a sum of 5. The probability, that A wins if A makes the first throw, is

Accepted Answer

(B) $\dfrac{9}{19}$

Answer

(A) $\dfrac{9}{17}$

Answer

(C) $\dfrac{8}{17}$

Answer

(D) $\dfrac{8}{19}$

Question 12

Consider the region $R=\left\{(x,y):x\le y\le 9-\dfrac{11}{3}x^2,\ x\ge 0\right\}$. The area, of the largest rectangle of sides parallel to the coordinate axes and inscribed in R, is :

Accepted Answer

(C) $\dfrac{567}{121}$

Answer

(A) $\dfrac{625}{111}$

Answer

(B) $\dfrac{730}{119}$

Answer

(D) $\dfrac{821}{123}$

Question 13

The area of the region $\{(x,y):x^2+4x+2\le y\le|x+2|\}$ is equal to

Accepted Answer

(C) $\dfrac{20}{3}$

Answer

(A) $7$

Answer

(B) $\dfrac{24}{5}$

Answer

(D) $5$

Question 14

For a statistical data $x_1,x_2,\ldots,x_{10}$ of 10 values, a student obtained the mean as 5.5 and $\sum_{i=1}^{10}x_i^2=371$. He later found that he had noted two values in the data incorrectly as 4 and 5, instead of the correct values 6 and 8, respectively. The variance of the corrected data is

Accepted Answer

(A) $7$

Answer

(B) $4$

Answer

(C) $9$

Answer

(D) $5$

Question 15

Let circle C be the image of $x^2+y^2-2x+4y-4=0$ in the line $2x-3y+5=0$ and A be the point on C such that OA is parallel to x-axis and A lies on the right hand side of the centre O of C. If $B(\alpha,\beta)$, with $\beta<4$, lies on C such that the length of the arc AB is $\dfrac{1}{6}$th of the perimeter of C, then $\beta-\sqrt3\alpha$ is equal to

Accepted Answer

(D) $4$

Answer

(A) $3$

Answer

(B) $3+\sqrt3$

Answer

(C) $4-\sqrt3$

Question 16

For some $n
e 10$, let the coefficients of the $5^{th}$, $6^{th}$ and $7^{th}$ terms in the binomial expansion of $(1+x)^{n+4}$ be in A.P. Then the largest coefficient in the expansion of $(1+x)^{n+4}$ is :

Accepted Answer

(B) $35$

Answer

(A) $70$

Answer

(C) $20$

Answer

(D) $10$

Question 17

The product of all the rational roots of the equation $(x^2-9x+11)^2-(x-4)(x-5)=3$, is equal to :

Accepted Answer

(A) $14$

Answer

(B) $7$

Answer

(C) $28$

Answer

(D) $21$

Question 18

Let the line passing through the points $(-1,2,1)$ and parallel to the line $\dfrac{x-1}{2}=\dfrac{y+1}{3}=\dfrac{z}{4}$ intersect the line $\dfrac{x+2}{3}=\dfrac{y-3}{2}=\dfrac{z-4}{1}$ at the point P. Then the distance of P from the point $Q(4,-5,1)$ is :

Accepted Answer

(D) $5\sqrt5$

Answer

(A) $5$

Answer

(B) $10$

Answer

(C) $5\sqrt6$

Question 19

Let the lines $3x-4y-\alpha=0$, $8x-11y-33=0$, and $2x-3y+\lambda=0$ be concurrent. If the image of the point $(1,2)$ in the line $2x-3y+\lambda=0$ is $\left(\dfrac{57}{13},\dfrac{-40}{13}\right)$, then $|\alpha\lambda|$ is equal to :

Accepted Answer

(B) $91$

Answer

(A) $84$

Answer

(C) $113$

Answer

(D) $101$

Question 20

If the system of equations $2x-y+z=4$, $5x+\lambda y+3z=12$, $100x-47y+\mu z=212$, has infinitely many solutions, then $\mu-2\lambda$ is equal to

Accepted Answer

(D) $57$

Answer

(A) $56$

Answer

(B) $59$

Answer

(C) $55$

Question 21

Let f be a differentiable function such that $2(x+2)^2 f(x)-3(x+2)^2=10\int_0^x (t+2)f(t)\,dt$, $x\ge 0$. Then $f(2)$ is equal to _______

Accepted Answer

19

Question 22

If for some $\alpha,\beta$; $\alpha\le\beta$, $\alpha+\beta=8$ and $\sec^2(	an^{-1}\alpha)+\operatorname{cosec}^2(\cot^{-1}\beta)=36$, then $\alpha^2+\beta$ is _______

Accepted Answer

14

Question 23

The number of 3-digit numbers, that are divisible by 2 and 3, but not divisible by 4 and 9, is _______

Accepted Answer

125

Question 24

Let A be a $3	imes3$ matrix such that $X^T AX=O$ for all nonzero $3	imes1$ matrices $X=\begin{bmatrix}x\y\z\end{bmatrix}$. If $A\begin{bmatrix}1\1\1\end{bmatrix}=\begin{bmatrix}1\4\-5\end{bmatrix}$, $A\begin{bmatrix}1\2\1\end{bmatrix}=\begin{bmatrix}0\4\-8\end{bmatrix}$, and $\det(\operatorname{adj}(2(A+I)))=2^{\alpha}3^{\beta}5^{\gamma}$, $\alpha,\beta,\gamma\in\mathbb{N}$, then $\alpha^2+\beta^2+\gamma^2$ is _______

Accepted Answer

44

Question 25

Let $S=\{p_1,p_2,\ldots,p_{10}\}$ be the set of first ten prime numbers. Let $A=S\cup P$, where P is the set of all possible products of distinct elements of S. Then the number of all ordered pairs $(x,y)$, $x\in S$, $y\in A$, such that x divides y, is _______

Accepted Answer

5120

Question 26

Consider a parallel plate capacitor of area A (of each plate) and separation ‘d’ between the plates. If E is the electric field and $\varepsilon_0$ is the permittivity of free space between the plates, then potential energy stored in the capacitor is :-

Accepted Answer

(A) $\dfrac{1}{2}\varepsilon_0 E^2 Ad$

Answer

(B) $\dfrac{3}{4}\varepsilon_0 E^2 Ad$

Answer

(C) $\dfrac{1}{4}\varepsilon_0 E^2 Ad$

Answer

(D) $\varepsilon_0 E^2 Ad$

Question 27

What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5 D ? [‘D’ stands for dioptre]

Accepted Answer

(A) 0.04

Answer

(B) 0.40

Answer

(C) 0.1

Answer

(D) 0.01

Question 28

An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density 1000 kg/m$^3$. If the pressure inside the bubble is 2100 N/m$^2$ greater than the atmospheric pressure, then the surface tension of the liquid in SI unit is (use $g=10$ m/s$^2$)

Accepted Answer

(D) 0.05

Answer

(A) 0.02

Answer

(B) 0.1

Answer

(C) 0.25

Question 29

For an experimental expression $y=\dfrac{32.3	imes1125}{27.4}$, where all the digits are significant. Then to report the value of y we should write :-

Accepted Answer

(D) $y=1330$

Answer

(A) $y=1326.2$

Answer

(B) $y=1326.19$

Answer

(C) $y=1326.186$

Question 30

During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000 Å and it becomes 6000 Å when the electron jumps from state B to state C. Then the wavelength of the radiation emitted during the transition of electrons from state A to state B is :-

Accepted Answer

(A) 3000 Å

Answer

(B) 6000 Å

Answer

(C) 4000 Å

Answer

(D) 2000 Å

Question 31

Consider the following statements : A. The junction area of solar cell is made very narrow compared to a photo diode. B. Solar cells are not connected with any external bias. C. LED is made of lightly doped p-n junction. D. Increase of forward current results in continuous increase of LED light intensity. E. LEDs have to be connected in forward bias for emission of light. Choose the correct answer from the options given below :

Accepted Answer

(D) B, E Only

Answer

(A) B, D, E Only

Answer

(B) A, C Only

Answer

(C) A, C, E Only

Question 32

The amount of work done to break a big water drop of radius ‘R’ into 27 small drops of equal radius is 10 J. The work done required to break the same big drop into 64 small drops of equal radius will be :-

Accepted Answer

(A) 15 J

Answer

(B) 10 J

Answer

(C) 20 J

Answer

(D) 5 J

Question 33

An object of mass ‘m’ is projected from origin in a vertical x-y plane at an angle 45° with the x-axis with an initial velocity $v_0$. The magnitude and direction of the angular momentum of the object with respect to origin, when it reaches at the maximum height, is [g is acceleration due to gravity]

Accepted Answer

(D) $\dfrac{mv_0^3}{4\sqrt2\,g}$ along negative z-axis

Answer

(A) $\dfrac{mv_0^3}{2\sqrt2\,g}$ along negative z-axis

Answer

(B) $\dfrac{mv_0^3}{2\sqrt2\,g}$ along positive z-axis

Answer

(C) $\dfrac{mv_0^3}{4\sqrt2\,g}$ along positive z-axis

Question 34

The Young’s double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference fringes. The least number of the bright fringes of 480 nm light that are required for the first coincidence with the bright fringes formed by 600 nm light is :-

Accepted Answer

(D) 5

Answer

(A) 4

Answer

(B) 8

Answer

(C) 6

Question 35

A car of mass ‘m’ moves on a banked road having radius ‘r’ and banking angle θ. To avoid slipping from banked road, the maximum permissible speed of the car is $v_0$. The coefficient of friction μ between the wheels of the car and the banked road is :-

Accepted Answer

(C) $\dfrac{v_0^2-rg	an	heta}{rg+v_0^2	an	heta}$

Answer

(A) $\dfrac{v_0^2+rg	an	heta}{rg-v_0^2	an	heta}$

Answer

(B) $\dfrac{v_0^2+rg	an	heta}{rg+v_0^2	an	heta}$

Answer

(D) $\dfrac{v_0^2-rg	an	heta}{rg-v_0^2	an	heta}$

Question 36

A uniform solid cylinder of mass ‘m’ and radius ‘r’ rolls along an inclined rough plane of inclination 45°. If it starts to roll from rest from the top of the plane then the linear acceleration of the cylinder axis will be :-

Accepted Answer

(C) $\dfrac{\sqrt2 g}{3}$

Answer

(A) $\dfrac{1}{\sqrt2}g$

Answer

(B) $\dfrac{1}{3\sqrt2}g$

Answer

(D) $\sqrt2 g$

Question 37

A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane side of the lens is silver coated for complete reflection, the lens immersed in the liquid behaves like a concave mirror of focal length 0.2 m. The radius of curvature of the curved surface of the lens is :-

Accepted Answer

(B) 0.10 m

Answer

(A) 0.15 m

Answer

(C) 0.20 m

Answer

(D) 0.25 m

Question 38

A particle is executing simple harmonic motion with time period 2s and amplitude 1 cm. If D and d are the total distance and displacement covered by the particle in 12.5 s, then $\dfrac{D}{d}$ is :-

Accepted Answer

(B) 25

Answer

(A) $\dfrac{15}{4}$

Answer

(C) 10

Answer

(D) $\dfrac{16}{5}$

Question 39

A satellite is launched into a circular orbit of radius ‘R’ around the earth. A second satellite is launched into an orbit of radius 1.03 R. The time period of revolution of the second satellite is larger than the first one approximately by :-

Accepted Answer

(B) 4.5%

Answer

(A) 3%

Answer

(C) 9%

Answer

(D) 2.5%

Question 40

A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of $f_1$ in air. Another plano-convex lens with first surface radius of curvature 3 cm has focal length of $f_2$ when it is immersed in a liquid of refractive index 1.2. If both the lenses are made of same glass of refractive index 1.5, the ratio of $f_1$ and $f_2$ is :-

Accepted Answer

(B) 1 : 3

Answer

(A) 3 : 5

Answer

(C) 1 : 2

Answer

(D) 2 : 3

Question 41

An alternating current is given by $I=I_A\sin\omega t+I_B\cos\omega t$. The r.m.s. current will be :-

Accepted Answer

(C) $\sqrt{\dfrac{I_A^2+I_B^2}{2}}$

Answer

(A) $\sqrt{I_A^2+I_B^2}$

Answer

(B) $\dfrac{\sqrt{I_A^2+I_B^2}}{2}$

Answer

(D) $\dfrac{|I_A+I_B|}{\sqrt2}$

Question 42

An electron of mass ‘m’ with an initial velocity $\vec v=v_0\hat i\ (v_0>0)$ enters an electric field $\vec E=-E_0\hat k$. If the initial de Broglie wavelength is $\lambda_0$, the value after time t would be :-

Accepted Answer

(A) $\dfrac{\lambda_0}{\sqrt{1+\dfrac{e^2E_0^2t^2}{m^2v_0^2}}}$

Answer

(B) $\dfrac{\lambda_0}{\sqrt{1-\dfrac{e^2E_0^2t^2}{m^2v_0^2}}}$

Answer

(C) $\lambda_0$

Answer

(D) $\lambda_0\sqrt{1+\dfrac{e^2E_0^2t^2}{m^2v_0^2}}$

Question 43

A parallel plate capacitor was made with two rectangular plates, each with a length of $l=3$ cm and breadth of $b=1$ cm. The distance between the plates is 3 μm. Out of the following, which are the ways to increase the capacitance by a factor of 10 ? A. $l=30$ cm, $b=1$ cm, $d=1$ μm. B. $l=3$ cm, $b=1$ cm, $d=30$ μm. C. $l=6$ cm, $b=5$ cm, $d=3$ μm. D. $l=1$ cm, $b=1$ cm, $d=10$ μm. E. $l=5$ cm, $b=2$ cm, $d=1$ μm. Choose the correct answer from the options given below :

Accepted Answer

(A) C and E only

Answer

(B) B and D only

Answer

(C) A only

Answer

(D) C only

Question 44

A force $F=\alpha+\beta x^2$ acts on an object in the x-direction. The work done by the force is 5J when the object is displaced by 1 m. If the constant $\alpha=1$N then β will be

Accepted Answer

(C) 12 N/m$^2$

Answer

(A) 15 N/m$^2$

Answer

(B) 10 N/m$^2$

Answer

(D) 8 N/m$^2$

Question 45

An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly with temperature. A. The work done by gas during the process is zero. B. The heat added to gas is different from change in its internal energy. C. The volume of the gas is increased. D. The internal energy of the gas is increased. E. The process is isochoric (constant volume process). Choose the correct answer from the options given below :-

Accepted Answer

(B) A, D, E Only

Answer

(A) A, B, C, D Only

Answer

(C) E Only

Answer

(D) A, C Only

Question 46

A square loop of sides a = 1 m is held normally in front of a point charge q = 1C. The flux of the electric field through the shaded region is $\dfrac{5}{p}	imes\dfrac{1}{\varepsilon_0}$ Nm$^2$/C, where the value of p is _______.

Accepted Answer

48

Question 47

The least count of a screw gauge is 0.01 mm. If the pitch is increased by 75% and number of divisions on the circular scale is reduced by 50%, the new least count will be _______ $	imes10^{-3}$ mm.

Accepted Answer

35

Question 48

A wire of resistance 9 Ω is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be _______ ohm.

Accepted Answer

2

Question 49

A current of 5A exists in a square loop of side $\dfrac{1}{\sqrt2}$ m. Then the magnitude of the magnetic field B at the centre of the square loop will be $p	imes10^{-6}$ T, where value of p is _______. [Take $\mu_0=4\pi	imes10^{-7}$ T m A$^{-1}$].

Accepted Answer

8

Question 50

The temperature of 1 mole of an ideal monoatomic gas is increased by 50°C at constant pressure. The total heat added and change in internal energy are $E_1$ and $E_2$, respectively. If $\dfrac{E_1}{E_2}=\dfrac{x}{9}$ then the value of x is _______.

Accepted Answer

15

Question 51

For the given cell $Fe^{2+}(aq)+Ag^+(aq)	o Fe^{3+}(aq)+Ag(s)$. The standard cell potential of the above reaction is. Given : $Ag^++e^-	o Ag$, $E^0=x$ V; $Fe^{2+}+2e^-	o Fe$, $E^0=y$ V; $Fe^{3+}+3e^-	o Fe$, $E^0=z$ V.

Accepted Answer

(B) $x+2y-3z$

Answer

(A) $x+y-z$

Answer

(C) $y-2x$

Answer

(D) $x+2y$

Question 52

Following are the four molecules "P", "Q", "R" and "S" (shown in the figure). Which one among the four molecules will react with H-Br(aq) at the fastest rate ?

Accepted Answer

(B) Q

Answer

(A) S

Answer

(C) R

Answer

(D) P

Question 53

One mole of the octahedral complex compound Co(NH₃)₅Cl₃ gives 3 moles of ions on dissolution in water. One mole of the same complex reacts with excess of AgNO₃ solution to yield two moles of AgCl(s). The structure of the complex is :

Accepted Answer

(A) [Co(NH₃)₅Cl]Cl₂

Answer

(B) [Co(NH₃)₄Cl]Cl₂·NH₃

Answer

(C) [Co(NH₃)₄Cl₂]Cl·NH₃

Answer

(D) [Co(NH₃)₅Cl₃]·2NH₃

Question 54

Which one of the carbocations from the following is most stable ?

Accepted Answer

(B) $\overset{+}{C}H_2-CH=CH-O-CH_3$

Answer

(A) $\overset{+}{C}H_2-CH=CH-CH_2-O-CH_3$

Answer

(C) $\overset{+}{C}H_2-CH=CH-O-CO-CH_3$

Answer

(D) $\overset{+}{C}H_2-CH=CH-F$

Question 55

Which of the following linear combination of atomic orbitals will lead to formation of molecular orbitals in homonuclear diatomic molecules [internuclear axis in z-direction] ? A. $2p_z$ and $2p_x$ B. 2s and $2p_x$ C. $3d_{xy}$ and $3d_{x^2-y^2}$ D. 2s and $2p_z$ E. $2p_z$ and $3d_{z^2}$. Choose the correct answer from the options given below :

Accepted Answer

(C) D Only

Answer

(A) E Only

Answer

(B) A and B Only

Answer

(D) C and D Only

Question 56

Which of the following ions is the strongest oxidizing agent ? (Atomic Number of Ce = 58, Eu = 63, Tb = 65, Lu = 71)

Accepted Answer

(C) $Tb^{4+}$

Answer

(A) $Lu^{3+}$

Answer

(B) $Eu^{2+}$

Answer

(D) $Ce^{3+}$

Question 57

Ksp for Cr(OH)₃ is $1.6	imes10^{-30}$. What is the molar solubility of this salt in water?

Accepted Answer

(A) $\sqrt[4]{\dfrac{1.6	imes10^{-30}}{27}}$

Answer

(B) $1.8	imes10^{-10}$

Answer

(C) $\sqrt[3]{1.8	imes10^{-30}}$

Answer

(D) $\sqrt{1.6	imes10^{-30}}$

Question 58

Let us consider an endothermic reaction which is non-spontaneous at the freezing point of water. However, the reaction is spontaneous at boiling point of water. Choose the correct option.

Accepted Answer

(A) Both ΔH and ΔS are (+ve)

Answer

(B) ΔH is (−ve) but ΔS is (+ve)

Answer

(C) ΔH is (+ve) but ΔS is (−ve)

Answer

(D) Both ΔH and ΔS are (−ve)

Question 59

Given below are two statements I and II.
Statement I : Dumas method is used for estimation of "Nitrogen" in an organic compound.
Statement II : Dumas method involves the formation of ammonium sulphate by heating the organic compound with conc. H₂SO₄.
In the light of the above statements, choose the correct answer from the options given below :

Accepted Answer

(D) Statement I is true but Statement II is false

Answer

(A) Both Statement I and Statement II are true

Answer

(B) Statement I is false but Statement II is true

Answer

(C) Both Statement I and Statement II are false

Question 60

Which of the following Statements are NOT true about the periodic table? A. The properties of elements are function of atomic weights. B. The properties of elements are function of atomic numbers. C. Elements having similar outer electronic configuration are arranged in same period. D. An element's location reflects the quantum numbers of the last filled orbital. E. The number of elements in a period is same as the number of atomic orbitals available in energy level that is being filled. Choose the correct answer from the options given below :

Accepted Answer

(A) A, C and E Only

Answer

(B) D and E Only

Answer

(C) A and E Only

Answer

(D) B, C and E Only

Question 61

The carbohydrate "Ribose" present in DNA, is A. A pentose sugar B. present in pyranose form C. in "D" configuration D. a reducing sugar, when free E. in α-anomeric form. Choose the correct answer from the options given below :

Accepted Answer

(A) A, C and D Only

Answer

(B) A, B and E Only

Answer

(C) B, D and E Only

Answer

(D) A, D and E Only

Question 62

Preparation of potassium permanganate from MnO₂ involves two step process in which the 1st step is a reaction with KOH and KNO₃ to produce

Accepted Answer

(D) $K_2MnO_4$

Answer

(A) $K_4[Mn(OH)_6]$

Answer

(B) $K_3MnO_4$

Answer

(C) $KMnO_4$

Question 63

The large difference between the melting and boiling points of oxygen and sulphur may be explained on the basis of

Accepted Answer

(B) Atomicity

Answer

(A) Atomic size

Answer

(C) Electronegativity

Answer

(D) Electron gain enthalpy

Question 64

For a reaction, $N_2O_5(g)	o 2NO_2(g)+\dfrac{1}{2}O_2(g)$ in a constant volume container, no products were present initially. The final pressure of the system when 50% of reaction gets completed is

Accepted Answer

(D) $\dfrac{7}{4}$ times of initial pressure

Answer

(A) $\dfrac{7}{2}$ times of initial pressure

Answer

(B) 5 times of initial pressure

Answer

(C) $\dfrac{5}{2}$ times of initial pressure

JEE Main 24 January 2025 Shift 1 Question Paper with Answers

Physics — JEE Main 24 January 2025 Shift 1

Chemistry — JEE Main 24 January 2025 Shift 1

Mathematics — JEE Main 24 January 2025 Shift 1

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