JEE Main 8 April 2019 Shift 2 Question Paper

Question 1

Let $f(x)=\int_{0}^{x} g(t)\,dt$, were g is a non zero even function. If $f(x+5)=g(x)$, then $\int_{0}^{x} f(t)\,dt$ equals

Accepted Answer

(A) $\int_{x+5}^{5} g(t)\,dt$

Answer

(B) $2\int_{5}^{x-5} g(t)\,dt$

Answer

(C) $\int_{5}^{x+5} g(t)\,dt$

Answer

(D) $5\int_{x+5}^{5} g(t)\,dt$

Question 2

Suppose that the points $(h,k)$, $(1,2)$ and $(-3,4)$ lie on the line $L_{1}$. If a line $L_{2}$ passing through the points $(h,k)$ and $(4,3)$ is perpendicular to $L_{1}$, then $\frac{k}{h}$ equals:

Accepted Answer

(B) $\frac{1}{3}$

Answer

(A) $-\frac{1}{7}$

Answer

(C) 3

Answer

(D) 0

Question 3

Let $f(x)=a^{x}$ $(a>0)$ be written as $f(x)=f_{1}(x)+f_{2}(x)$, where $f_{1}(x)$ is an even function and $f_{2}(x)$ is an odd function. Then $f_{1}(x+y)+f_{1}(x-y)$ equals

Accepted Answer

(B) $2f_{1}(x)f_{1}(y)$

Answer

(A) $2f_{1}(x)f_{2}(y)$

Answer

(C) $2f_{1}(x+y)f_{2}(x-y)$

Answer

(D) $2f_{1}(x+y)f_{1}(x-y)$

Question 4

If $z=\frac{\sqrt{3}}{2}+\frac{i}{2}\left(i+\sqrt{-1}\right)$, then $\left(1+iz+z^{5}+iz^{8}\right)^{9}$ is equal to:

Accepted Answer

(A) -1

Answer

(B) 1

Answer

(C) $(-1+2i)^{9}$

Answer

(D) 0

Question 5

Given that the slope of the tangent to a curve $y=y(x)$ at any point $(x,y)$ is $\frac{2y}{x^{2}}$. If the curve passes through the centre of the circle $x^{2}+y^{2}-2x-2y=0$, then its equation is:

Accepted Answer

(D) $x\log_{e}|y|=2(x-1)$

Answer

(A) $x\log_{e}|y|=x-1$

Answer

(B) $x\log_{e}|y|=-2(x-1)$

Answer

(C) $x^{2}\log_{e}|y|=-2(x-1)$

Question 6

If $f(1)=1, f'(1)=3$, then the derivative of $f(f(f(x)))+(f(x))^{2}$ at $x=1$ is:

Accepted Answer

(A) 33

Answer

(B) 15

Answer

(C) 9

Answer

(D) 12

Question 7

The number of four \u2013 digit numbers strictly greater than 4321 that can be formed using the digits 0, 1, 2, 3, 4, 5 (repetition of digits is allowed) is:

Accepted Answer

(C) 310

Answer

(A) 360

Answer

(B) 288

Answer

(D) 306

Question 8

If a point $R(4,y,z)$ lies on the line segment joining the points $P(2,-3,4)$ and $Q(8,0,10)$, then the distance of R from the origin is:

Accepted Answer

(C) $2\sqrt{14}$

Answer

(A) $\sqrt{53}$

Answer

(B) 6

Answer

(D) $2\sqrt{21}$

Question 9

If the system of linear equations $x-2y+kz=1$, $2x+y+z=2$, $3x-y-kz=3$ has a solution $(x,y,z)
e 0$, then $(x,y)$ lies on the straight line whose equation is:

Accepted Answer

(B) $4x-3y-4=0$

Answer

(A) $3x-4y-1=0$

Answer

(C) $4x-3y-1=0$

Answer

(D) $3x-4y-4=0$

Question 10

A student score the following marks in five tests : 45, 54, 41, 57, 43. His score is not known for the sixth test. If the mean score is 48 in the six tests, then the standard deviation of the marks in six tests is:

Accepted Answer

(D) $\frac{10}{\sqrt{3}}$

Answer

(A) $\frac{10}{3}$

Answer

(B) $\frac{100}{3}$

Answer

(C) $\frac{100}{\sqrt{3}}$

Question 11

The vector equation of the plane through the line of intersection of the planes $x+y+z=1$ and $2x+3y+4z=5$ which is perpendicular to the plane $x-y+z=0$ is:

Accepted Answer

(C) $\vec{r}.(\hat{i}-\hat{k})+2=0$

Answer

(A) $\vec{r}	imes(\hat{i}-\hat{k})+2=0$

Answer

(B) $\vec{r}.(\hat{i}-\hat{k})-2=0$

Answer

(D) $\vec{x}	imes(\hat{i}-\hat{k})+2=0$

Question 12

If the lengths of the sides of a triangle are in A.P. and the greatest angle is double the smallest, then a ratio of lengths of the sides of this triangle:

Accepted Answer

(A) 4:5:6

Answer

(B) 5:6:7

Answer

(C) 3:4:5

Answer

(D) 5:9:13

Question 13

In an ellipse, with centre at the origin, if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at $(0, 5\sqrt{3})$, then the length of its latus rectum is:

Accepted Answer

(B) 5

Answer

(A) 6

Answer

(C) 8

Answer

(D) 10

Question 14

The minimum number of times one has to toss a fair coin so that the probability; of observing at least one head is at least 90% is:

Accepted Answer

(C) 4

Answer

(A) 2

Answer

(B) 3

Answer

(D) 5

Question 15

If the eccentricity of the standard hyperbola passing, through the point (4, 6) is 2, then the equation of the tangent to the hyperbola at (4, 6) is:

Accepted Answer

(C) $2x-y-2=0$

Answer

(A) $2x-3y+10=0$

Answer

(B) $x-2y+8=0$

Answer

(D) $3x-2y=0$

Question 16

The number of integral values of m for which the equation $\left(1+m^{2}\right)x^{2}-2(1+3m)x+(1+8m)=0$ has no real root is:

Accepted Answer

(A) infinitely many

Answer

(B) 2

Answer

(C) 3

Answer

(D) 1

Question 17

Then sum $\sum_{k=1}^{20}k\frac{1}{2^{k}}$ is equal to:

Accepted Answer

(A) $2-\frac{11}{2^{19}}$

Answer

(B) $1-\frac{11}{2^{20}}$

Answer

(C) $2-\frac{21}{2^{20}}$

Answer

(D) $2-\frac{3}{2^{17}}$

Question 18

Let $\vec{a}=3\hat{i}+2\hat{j}+x\hat{k}$ and $\vec{b}=\hat{i}--\hat{j}+\hat{k}$, for some real x. Then $|\vec{a}	imes\vec{b}|=r$ is possible if:

Accepted Answer

(A) $r\geq5\sqrt{\frac{3}{2}}$

Answer

(B) $3\sqrt{\frac{3}{2}}<r<5\sqrt{\frac{3}{2}}$

Answer

(C) $\sqrt{\frac{3}{2}}<r\leq3\sqrt{\frac{3}{2}}$

Answer

(D) $0<r\leq\sqrt{\frac{3}{2}}$

Question 19

Then tangent and the normal lines at the point $(\sqrt{3},1)$ to the circle $x^{2}+y^{2}=4$ and the x-axis form a triangle. The area of this triangle (in square units) is:

Accepted Answer

(D) $\frac{2}{\sqrt{3}}$

Answer

(A) $\frac{1}{\sqrt{3}}$

Answer

(B) $\frac{4}{\sqrt{3}}$

Answer

(C) $\frac{1}{3}$

Question 20

The tangent to the parabola $y^{2}=4x$ at the point where it intersects the circle $x^{2}+y^{2}=5$ in the first quadrant, passes through the point:

Accepted Answer

(B) $\left(\frac{3}{4},\frac{7}{4}\right)$

Answer

(A) $\left(-\frac{1}{3},\frac{4}{3}\right)$

Answer

(C) $\left(-\frac{1}{4},\frac{1}{2}\right)$

Answer

(D) $\left(\frac{1}{4},\frac{3}{4}\right)$

Question 21

The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 is:

Accepted Answer

(C) $2\sqrt{3}$

Answer

(A) $\sqrt{3}$

Answer

(B) $\sqrt{6}$

Answer

(D) $\frac{2}{3}\sqrt{3}$

Question 22

Let $f:R\rightarrow R$ be a differentiable function satisfying $f''(3)+f'(2)=0$. Then $\lim_{x\rightarrow\infty}\left(\frac{1+f(3+x)-f(3)}{1+f(2-x)-f(2)}\right)^{\frac{1}{x}}$ is equal to:

Accepted Answer

(B) 1

Answer

(A) $e^{2}$

Answer

(C) e

Answer

(D) $e^{-1}$

Question 23

A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights $h_{sph}$ and $h_{cyl}$ on the incline. The radio $\frac{h_{sph}}{h_{cyl}}$ is given by:

Accepted Answer

(D) $\frac{14}{15}$

Answer

(A) 1

Answer

(B) $\frac{4}{5}$

Answer

(C) $\frac{2}{\sqrt{5}}$

Question 24

In the circuit shown, a four wire potentiometer is made of a 400 cm long wire, which extends between A and B. The resistance per unit length of the potentiometer wire is r = 0.01 $\Omega$/cm. If an ideal voltmeter is connected as shown with jockey J at 50 cm from end A, the expected reading of the voltmeter will be:

Accepted Answer

(C) 0.25V

Answer

(A) 0.75V

Answer

(B) 0.20V

Answer

(D) 0.50V

Question 25

A parallel plate capacitor has 1$\mu$F capacitance. One of its two plates is given +2$\mu$C charge and the other plate, +4$\mu$C charge. The potential difference developed across the capacitor is:

Accepted Answer

(B) 1V

Answer

(A) 3V

Answer

(C) 5V

Answer

(D) 2V

Question 26

If Surface tension (S), Moment of Inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be:

Accepted Answer

(A) $S^{1/2}I^{1/2}h^{0}$

Answer

(B) $S^{1/2}I^{3/2}h^{-1}$

Answer

(C) $S^{3/2}I^{1/2}h^{0}$

Answer

(D) $S^{1/2}I^{1/2}h^{-1}$

Question 27

Two magnetic dipoles X and Y are placed at a separation d, with their axes perpendicular to each other. The dipole moment of Y is twice that of X. A particle of charge q is passing through their mid-point P, at angle $	heta = 45^{0}$ with the horizontal line as shown in the figure. What would be the magnitude of force on the particle at that instant? (d is much larger than the dimensions of the dipole)

Accepted Answer

(B) 0

Answer

(A) $\left(\frac{\mu_0}{4\pi}ight)\frac{M}{(d/2)^3} 	imes qv$

Answer

(C) $\left(\frac{\mu_0}{4\pi}ight)\frac{2M}{(d/2)^3} 	imes qv$

Answer

(D) $\sqrt{2}\left(\frac{\mu_0}{4\pi}ight)\frac{M}{(d/2)^3} 	imes qv$

Question 28

A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to $\frac{1}{1000}$ of the original amplitude is close to:

Accepted Answer

(D) 20s

Answer

(A) 10s

Answer

(B) 100s

Answer

(C) 50s

Question 29

A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines, are kept 80 cm apart from each other. The concave mirror is to the right of the convex lens. When an object is kept at a distance of 30 cm to the left o the convex lens, its image remains at the same position even if the concave mirror is removed. The maximum distance of the object for which this concave mirror, by itself would produce a virtual image would be:

Accepted Answer

(B) 10 cm

Answer

(A) 20 cm

Answer

(C) 30 cm

Answer

(D) 20 cm

Question 30

A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to the external resistance will be maximum when:

Accepted Answer

(D) R = r

Answer

(A) R = 0.001 r

Answer

(B) R = 1000 r

Answer

(C) R = 2r

Question 31

In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30s.. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained is 55.0 cm. The percentage error in the determination of g is close to:

Accepted Answer

(C) 6.8%

Answer

(A) 0.7 %

Answer

(B) 3.5%

Answer

(D) 0.2%

Question 32

The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth is closest to: [Boltzmans Constant $k_B = 1.38 	imes 10^{-23}$ J/K Avogadro number $N_A = 6.02 	imes 10^{26}$ /kg Radius of Earth: $6.4 	imes 10^{6}$ m Gravitation acceleration on Earth = 10 ms$^{-2}$]

Accepted Answer

(B) $10^{4}$ K

Answer

(A) 800k

Answer

(C) $3	imes 10^{5}$

Answer

(D) 650 K

Question 33

A particle starts from origin O from rest and moves with a uniform acceleration along the positive x $-$ axis. Identify all figures that correctly represent the motion qualitatively. (a = acceleration, v = velocity, x = displacement, t = time)

Accepted Answer

(D) a, b, d

Answer

(A) a, b, c

Answer

(B) a

Answer

(C) b, c

Question 34

The election field in a region is given by $\vec{E} = (Ax + B)\hat{i}$ where E is in NC$^{-1}$ and x in meters. The values of constants are A = 20 SI unit and B = 10 SI unit. If the potential at x =1 is V$_1$ and that at x = $-$5 is V$_2$ then V$_1$ - V$_2$ is:

Accepted Answer

(D) 180 V

Answer

(A) 320 V

Answer

(B) $-$48 V

Answer

(C) $-$520 V

Question 35

Young's moduli of two wires A and B are in the ratio 7 : 4. Wire A is 2 m long and has radius R. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, then the value of R is close to:

Accepted Answer

(C) 1.7 mm

Answer

(A) 1.3 mm

Answer

(B) 1.5 mm

Answer

(D) 1.9 mm

Question 36

A body of mass m$_1$ moving with an unknown velocity of $v_1\hat{i}$ undergoes a collinear collision with a body of mass m$_2$ moving with a velocity $v_2\hat{i}$. After collision m$_1$ and m$_2$ move with velocities of $v_3\hat{i}$ and $v_4\hat{i}$ respectively. If m$_2$ = 0.5 m$_1$ and v$_3$ = 0.5 v$_1$ then v$_1$ is:

Accepted Answer

(C) $v_4 - v_2$

Answer

(A) $v_4 - \frac{v_2}{2}$

Answer

(B) $v_4 - \frac{v_2}{4}$

Answer

(D) $v_4 + v_2$

Question 37

The ratio of mass densities of nuclei of $^{40}C_a$ and $^{16}O$ is close to:

Accepted Answer

(D) 1

Answer

(A) 0.1

Answer

(B) 5

Answer

(C) 2

Question 38

A common emitter amplifier circuit, built using an npn transistor, is shown in the figure. Its dc current gain is 250, $R_C = 1k\Omega$ and $V_{CC} = 10V$. What is the minimum base current for $V_{CE}$ to reach saturation?

Accepted Answer

(B) $40\mu A$

Answer

(A) $7\mu A$

Answer

(C) $10\mu A$

Answer

(D) $100\mu A$

Question 39

A positive point charge is released from rest at a distance $r_0$ from a positive line charge with uniform density. The speed (v) of the point charge, as a function of instantaneous distance r from line charge, is proportional to

Accepted Answer

(C) $v \propto \sqrt{\ln\left(\dfrac{r}{r_0}\right)}$

Answer

(A) $v \propto e^{+r/r_0}$

Answer

(B) $v \propto \ln\left(\dfrac{r}{r_0}\right)$

Answer

(D) $v \propto \left(\dfrac{r}{r_0}\right)$

Question 40

Let $|\vec{A}_1| = 3, |\vec{A}_2| = 5$, and $|\vec{A}_1 + \vec{A}_2| = 5$. The value of $(2\vec{A}_1 + 3\vec{A}_2)\cdot(3\vec{A}_1 - 2\vec{A}_2)$ is:

Accepted Answer

(C) $-118.5$

Answer

(A) $-106.5$

Answer

(B) $-112.5$

Answer

(D) $-99.5$

Question 41

In the figure shown, what is the current (in Ampere) drawn from the battery? You are given
$R_1 = 15\Omega, R_2 = 10\Omega, R_3 = 20\Omega, R_4 = 5\Omega, R_5 = 25\Omega, R_6 = 30\Omega, E = 15V$

Accepted Answer

(C) $9/32$

Answer

(A) $13/24$

Answer

(B) $7/18$

Answer

(D) $20/3$

Question 42

In a line of sight radio communication, a distance of about 50 km is kept between the transmitting and receiving antennas. If the height of the receiving antenna is 70m, then the minimum height of the transmitting antenna should be: (Radius of the Earth $= 6.4	imes10^{6}$ m)

Accepted Answer

(A) 32 m

Answer

(B) 40 m

Answer

(C) 51 m

Answer

(D) 20 m

Question 43

A rocket has to be launched from each in such a way that it never returns. If E is the minimum energy delivered by the rocket launcher, what should be the minimum energy that the launcher should have if the same rocket is to be launched from the surface of the moon? Assume that the density of the earth and the moon are equal and that the earth's volume is 64 times the volume of the moon.

Accepted Answer

(B) $\dfrac{E}{16}$

Answer

(A) $\dfrac{E}{32}$

Answer

(C) $\dfrac{E}{64}$

Answer

(D) $\dfrac{E}{4}$

Question 44

A circuit connected to an ac source of emf $e = e_0\sin(1000t)$ with t in seconds, gives a phase difference of $\dfrac{\pi}{4}$ between the emf e and current i. Which of the following circuits will exhibit this?

Accepted Answer

(D) RC circuit with $R = 1k\Omega$ and $C = 10\mu F$

Answer

(A) RC circuit with $R = 1k\Omega$ and $C = 1\mu F$

Answer

(B) RL circuit with $R = 1k\Omega$ and $L = 10mH$

Answer

(C) RL circuit with $R = 1k\Omega$ and $L = 1mH$

Question 45

Calculate the limit of resolution of a telescope objective having a diameter of 200 cm, if it has to detect light of wavelength 500 nm coming from a star.

Accepted Answer

(C) $305	imes10^{-9}$ radian

Answer

(A) $457.5	imes10^{-9}$ radian

Answer

(B) $610	imes10^{-9}$ radian

Answer

(D) $152.5	imes10^{-9}$ radian

Question 46

Two very long, straight and insulated wires are kept at $90^{0}$ angle from each other In xy-plane as shown in the figure.
These wires carry currently of equal magnitude I, whose directions are shown in the figure. The met magnetic field at point P will be:

Accepted Answer

(C) Zero

Answer

(A) $\dfrac{\mu_0 I}{2\pi d}(\hat{x}+\hat{y})$

Answer

(B) $\dfrac{+\mu_0 I}{\pi d}(\hat{z})$

Answer

(D) $-\dfrac{\mu_0 I}{2\pi d}(\hat{x}+\hat{y})$

Question 47

A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure. If the shaded portion HBGO is cut off, the coordinates of the centre of mass of the remaining portion will be:

Accepted Answer

(D) $\left(\dfrac{5a}{12}, \dfrac{5b}{12}\right)$

Answer

(A) $\left(\dfrac{5a}{3}, \dfrac{5b}{3}\right)$

Answer

(B) $\left(\dfrac{2a}{3}, \dfrac{2b}{3}\right)$

Answer

(C) $\left(\dfrac{3a}{4}, \dfrac{3b}{4}\right)$

Question 48

The statement that is INCORRECT about the interstitial compound is:

Accepted Answer

(C) they are chemically reactive

Answer

(A) they have metallic conductivity

Answer

(B) they have high melting points

Answer

(D) they are very hard

Question 49

The major product of the following reaction is:

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 50

The major product of the following reaction is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 51

The ion that has $sp^{3}d^{2}$ hybridization for the central atom is:

Accepted Answer

(B) $[ICl_{4}]^{-}$

Answer

(A) $[IF_{6}]^{-}$

Answer

(C) $[ICl_{2}]^{-}$

Answer

(D) $[BrF_{2}]^{-}$

Question 52

The major product obtained in the following reaction is:

Accepted Answer

(B) (B)

Answer

(A) (A)

Answer

(C) (C)

Answer

(D) (D)

Question 53

For a reaction scheme. $A\xrightarrow{k_{1}}B\xrightarrow{k_{2}}C$ if the rate of formation of B is set to be zero then the concentration of B is given by

Accepted Answer

(A) $\left(\dfrac{k_{1}}{k_{2}}\right)[A]$

Answer

(B) $(k_{1}-k_{2})[A]$

Answer

(C) $k_{1}k_{2}[A]$

Answer

(D) $(k_{1}+k_{2})[A]$

Question 54

For the following reactions, equilibrium constants are given:
$S(s)+O_{2}(g)\rightleftharpoons SO_{2}(g);K_{1}=10^{52}$
$2S(s)+3O_{2}(g)\rightleftharpoons 2SO_{3}(g);K_{2}=10^{129}$
The equilibrium constant for the reaction $2SO_{2}(g)+O_{2}(g)\rightleftharpoons 2SO_{3}(g)$ is:

Accepted Answer

(B) $10^{25}$

Answer

(A) $10^{77}$

Answer

(C) $10^{181}$

Answer

(D) $10^{154}$

Question 55

Calculate the standard cell potential (in V) of the cell in which following reaction takes place:
$Fe^{2}+(aq)+Ag^{+}(aq)\rightarrow Fe^{3+}(aq)+Ag(s)$
Given that:
$E^{0}_{Ag'/Ag}=xV$
$E^{0}_{Fe^{2+}/Fe}=yV$
$E^{0}_{Fe^{3+}/Fe}=zV$

Accepted Answer

(D) x + 2y \u2212 3z

Answer

(A) x \u2212 z

Answer

(B) x + y \u2212 z

Answer

(C) x \u2212 y

Question 56

The covalent alkaline earth metal halide $(X=Cl,Br,I)$ is:

Accepted Answer

(A) $BeX_{2}$

Answer

(B) $CaX_{2}$

Answer

(C) $SrX_{2}$

Answer

(D) $MgX_{2}$

Question 57

The structure of Nylon \u2013 6 is:

Accepted Answer

(C) (C)

Answer

(A) (A)

Answer

(B) (B)

Answer

(D) (D)

Question 58

The IUPAC symbols for the element with atomic number 119 would be:

Accepted Answer

(B) uue

Answer

(A) uun

Answer

(C) unh

Answer

(D) une

Question 59

Which of the following compounds will show the maximum 'enol' content?

Accepted Answer

(C) $CH_{3}COCH_{2}COCH_{3}$

Answer

(A) $CH_{3}COCH_{3}$

Answer

(B) $CH_{3}COCH_{2}CONH_{2}$

Answer

(D) $CH_{3}COCH_{2}COOC_{2}H_{5}$

Question 60

0.27 g of a long chain fatty acid was dissolved in 100 $cm^{3}$ of hexane. 10 mL of this solution was added dropwise to the surface of water in a round watch glass. Hexane evaporates and a monolayer is formed. The distance from edge to centre of the watch glass is 10 cm. What is the height of the monolayer?
[Density of fatty acid $=0.9\ g\ cm^{-3}$, $\pi=3$]

Accepted Answer

(D) $10^{-6}$ m

Answer

(A) $10^{-4}$ m

Answer

(B) $10^{-8}$ m

Answer

(C) $10^{-2}$ m

Question 61

The percentage composition of carbon by mole in methane is:

Accepted Answer

(B) 20%

Answer

(A) 80%

Answer

(C) 75%

Answer

(D) 25%

Question 62

The Mond process is used for the:

Accepted Answer

(D) Purification of Ni

Answer

(A) Extraction of Mo

Answer

(B) Extraction of Zn

Answer

(C) Purification of Zr and Ti

Question 63

Which one of the following alkenes when treated with HCl yields majorly an anti Markovnikov product?

Accepted Answer

(B) $F_3C-CH=CH_2$

Answer

(A) $H_2N-CH=CH_2$

Answer

(C) $CH_3O-CH=CH_2$

Answer

(D) $Cl-CH=CH_2$

Question 64

5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K. If $C_V=28\ JK^{-1}mol^{-1}$, calculate $\Delta U$ and $\Delta pV$ for this process. (R = 8.0 J K$^{-1}$ mol$^{-1}$)

Accepted Answer

(B) $\Delta U=14kJ;\Delta(pV)=4kJ$

Answer

(A) $\Delta U=2.8kJ;\Delta(pV)=0.8kJ$

Answer

(C) $\Delta U=14kJ;\Delta(pV)=18kJ$

Answer

(D) $\Delta U=14kJ;\Delta(pV)=0.8J$

JEE Main 8 April 2019 Shift 2 Question Paper with Answers

Physics — JEE Main 8 April 2019 Shift 2

Chemistry — JEE Main 8 April 2019 Shift 2

Mathematics — JEE Main 8 April 2019 Shift 2

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