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KIITEE Mock Test - 8 - JEE MCQ


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30 Questions MCQ Test KIITEE Mock Test Series 2024 - KIITEE Mock Test - 8

KIITEE Mock Test - 8 for JEE 2024 is part of KIITEE Mock Test Series 2024 preparation. The KIITEE Mock Test - 8 questions and answers have been prepared according to the JEE exam syllabus.The KIITEE Mock Test - 8 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for KIITEE Mock Test - 8 below.
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KIITEE Mock Test - 8 - Question 1

In case of a spherical shell having radius R and mass M, which of the following graphs between gravitational intensity and distance is true?

Detailed Solution for KIITEE Mock Test - 8 - Question 1

Inside the shell, there is no mass. So, gravitational field is zero. Outside the shell, gravitational field is inversely proportional to the square of the distance.

KIITEE Mock Test - 8 - Question 2

A particle moves in xy plane according to the law x = a sin ωt and y = a(1 - cos ωt), where a and w are constant. The particle traces

Detailed Solution for KIITEE Mock Test - 8 - Question 2

x = a sin t ...(i)
y = a(1 - cos t) ...(ii)
x2 = a2 sin2 ωt = a2(1 - cos2 ωt)
x2 = a2 - a2 cos2 t
a2 cos2 ωt = a2 - x2 ...(iii)
y = a(1 - cos t) = a - a cos t
a - y = a cos t
(a - y)2 = (a cos t)2
a2 + y2 - 2ay = a2 cos2 ωt ...(iv)
Put the value from equation (iii),
a2 + y2 - 2ay = a2 - x2
x2 + y2 - 2ay = 0
This is the equation of a circle.

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KIITEE Mock Test - 8 - Question 3

A block of mass m is lying on another block of mass M, lying on a horizontal frictionless surface as shown in the figure. The coefficient of static friction between the two blocks is . If a force F (> mg) is applied to the block of mass m, the acceleration with which the block of mass M will move on the horizontal surface is given by (Here, is the coefficient of kinetic friction between the two blocks)

Detailed Solution for KIITEE Mock Test - 8 - Question 3

If F > μs mg, the block m will start moving on block M. It will, therefore, exert a force on block M due to kinetic friction m and M.
This force fk = μk mg.
Thus, the acceleration of block

Hence, the correct choice is (1).

KIITEE Mock Test - 8 - Question 4

Two cars A and B are traveling in the same direction with velocities v1 and v2 (v1 > v2), respectively. When the car A is at a distance d behind the car B, the driver of the car A applies the brakes, producing uniform retardation, a. There will be no collision, when

Detailed Solution for KIITEE Mock Test - 8 - Question 4

Their final relative velocity = 0
Relative velocity of A w.r.t B is u = v- v2
Relative acceleration = -a

KIITEE Mock Test - 8 - Question 5

Spheres A and B of equal radius and of masses 2 m and m, respectively, are moving towards each other and strike directly. The speeds of A and B before the collision are 3u and u, respectively. The collision is such that B experiences an impulse of 4mcu, where c is constant.

What is the coefficient of restitution?

Detailed Solution for KIITEE Mock Test - 8 - Question 5

Magnitude of the Impulse received | ΔI| = 4mcu

V1 and V2 are velocities after collision.
Magnitude of impulse is the same on both A and B.
For body A:
2mv1 - 6mu = -4mcu
2mv1 = 6mu - 4cum
V1 = 3u - 2cu(→)
For body B:
mv2 - (-mu) = 4mcu
mv2 = 4mcu - mu
v2 = 4cu - u(→) - speed of B

KIITEE Mock Test - 8 - Question 6

For a given velocity, a projectile has the same range R for two angles of projection. If t1 and t2 are the times of flight in the two cases, then:

Detailed Solution for KIITEE Mock Test - 8 - Question 6

KIITEE Mock Test - 8 - Question 7

A spring scale is adjusted to read zero. Particles of mass 1 g fall on the pan of the scale and collide elastically and they rebound upward with the same speed. If the height of fall of particles is 2 metres and their rate of collision is 100 particles per second, then the scale reading (in grams) will be

Detailed Solution for KIITEE Mock Test - 8 - Question 7

Scale reading is due to the force acting on its pan. This force is due to the rate of change of momentum given to it because of colliding particles.
Velocity with which the particle collides with the pan, v =  =  = 2.8√5 ms-1
= 12.52 x 10-3 kg ms-1
 Momentum imparted to pan per second = 12.52 x 10-3 x 100
= 1.252 kg = 1252 g (weight)

KIITEE Mock Test - 8 - Question 8

Two blocks of masses m and M are placed on a horizontal frictionless table connected by a spring as shown in the figure. The block of mass M is pulled to the right with a force F. If the acceleration of the block of mass m is 'a', then the acceleration of the block of mass M will be

Detailed Solution for KIITEE Mock Test - 8 - Question 8

For the block with mass m, the force experienced is the spring force.
∴ Spring force = Mass × acceleration = ma
For block with mass M, forces are spring force and the external F

KIITEE Mock Test - 8 - Question 9

If a vector  is perpendicular to the vector  then the value of α is

Detailed Solution for KIITEE Mock Test - 8 - Question 9

When two vectors are perpendicular to each other, then their dot product is zero.

KIITEE Mock Test - 8 - Question 10

In the given figure, the block of mass M is at rest on the floor. The acceleration with which a boy of mass m should climb along the rope of negligible mass so as to lift the block from the floor, is

KIITEE Mock Test - 8 - Question 11

A cricket ball of mass 200 gms moving with a velocity of 20 m/sec is brought to rest by a player in 0.1 sec. The average force applied by the player is

Detailed Solution for KIITEE Mock Test - 8 - Question 11

Average force = Change in momentum/Time interval

KIITEE Mock Test - 8 - Question 12

The de-Broglie wavelength of the electron in the ground state of hydrogen atom is
(KE = 13.6 eV and 1 eV = 1.602  10-19 J)

Detailed Solution for KIITEE Mock Test - 8 - Question 12

According to de-Broglie relation,

KIITEE Mock Test - 8 - Question 13

Acid hydrolysis of which of the following compounds yields two different organic compounds?

Detailed Solution for KIITEE Mock Test - 8 - Question 13

Acid hydrolysis of an ester gives two different organic compounds.

KIITEE Mock Test - 8 - Question 14

The halogen compound which undergoes nucleophilic substitution most readily is

Detailed Solution for KIITEE Mock Test - 8 - Question 14

3-chloro prop-1-ene (allyl halide) undergoes SN1 reactions through the formation of an intermediate carbocation, which is resonance stabilised as follows:

Therefore, it will undergo nucleophilic substitution most readily.

KIITEE Mock Test - 8 - Question 15

What is the product in the following reaction?

Detailed Solution for KIITEE Mock Test - 8 - Question 15

Yes, it is the correct answer.

KIITEE Mock Test - 8 - Question 16

On adding 0.1 M solution of [Ag+], [Ba2+] and [Ca2+] (each) in a Na2SO4 solution, compound that will be precipitated first is

[Ksp BaSO4 = 10-11, Ksp CaSO4 = 10-6 and Ksp Ag2SO4 = 10-5]

Detailed Solution for KIITEE Mock Test - 8 - Question 16

I. The compound which has the least solubility will be precipitated first.
(a) BaSO4
Given, Ksp = 10-11
Let the solubility be x mol/L.

Since BaSO4 has the least solubility, therefore it will be precipitated first.

KIITEE Mock Test - 8 - Question 17

Which of the following dissolves in water but does not give any oxyacid solution?

Detailed Solution for KIITEE Mock Test - 8 - Question 17

In OF2, fluorine has negative oxidation state due to high electronegativity. Therefore, OF2 dissolves in water but does not give any oxyacid solution because unlike other halogens, fluorine cannot acquire a positive oxidation state. In oxyacids of halogens, all halogen atoms have positive oxidation states.

SO2, SCI4 and SO4 give oxyacid solutions in water and acquire positive oxidation states as shown below.

KIITEE Mock Test - 8 - Question 18

Directions: Identify A and B in the following reaction.

Detailed Solution for KIITEE Mock Test - 8 - Question 18

The Wolff-Kishner reduction is an organic reaction that is used to convert an aldehyde or ketone to an alkane, using hydrazine, base and thermal conditions. The mechanism begins with the attack of hydrazine on the aldehyde or ketone to form an imine. Proton transfer steps then result in the formation of an N=N bond. Deprotonation of nitrogen and a rearrangement reaction results in the formation of a carbanion and the release of nitrogen gas. The carbanion then picks up a proton from water to regenerate the base catalyst and provides the final alkane product.

KIITEE Mock Test - 8 - Question 19

SN2 mechanism is involved in the substitution of

Detailed Solution for KIITEE Mock Test - 8 - Question 19

SN2 mechanism means bimolecular nucleophilic substitution mechanism. In this, rate of reaction is determined by concentration of two molecules. It is characteristic of 10 alkyl halides.
CH3 -CH2 -Cl
10 alkyl halide

KIITEE Mock Test - 8 - Question 20

If the ionisation potential of hydrogen atom is 2 x 10-18 J, then the frequency of Hβ line of Balmer series is
(Given: Plank's constant = 6.6 x 10-34 Js)

Detailed Solution for KIITEE Mock Test - 8 - Question 20

Hβ line is formed due to the transition of electrons from 4 to 2.

KIITEE Mock Test - 8 - Question 21

Consider the following reaction:
CaCO3(s) ⇌ CaO(s) + CO2(g)
The decomposition of limestone is non-spontaneous at 298 K.
The ΔHº and ΔSºvalues for the reaction are 176.0 kJ and 160 JK-1, respectively.
At what temperature will the decomposition become spontaneous?

Detailed Solution for KIITEE Mock Test - 8 - Question 21

According to Gibb's equation:

The reaction becomes spontaneous at a temperature at which  is a negative value.
At 298K:

Since ΔGº is positive, the reaction is not spontaneous at this temperature.



Hence, the reaction is spontaneous above 1100 K or 827oC.

KIITEE Mock Test - 8 - Question 22

The equations of two lines are 3y - 4x = 5 and 4y + 6 = 3x. What is the relation between these lines?

Detailed Solution for KIITEE Mock Test - 8 - Question 22

The slope of the first line is 4/3 and the slope of the second line is 3/4.
Clearly, these slopes are neither negative reciprocal of each other nor equal.
Hence, they are neither parallel nor perpendicular.

KIITEE Mock Test - 8 - Question 23

The solution of edy/dx = (x + 1) and y(0) = 3 is

Detailed Solution for KIITEE Mock Test - 8 - Question 23

KIITEE Mock Test - 8 - Question 24

The sum up to n terms of the infinite series 1.32 + 2.52 + 3.72 + …  is

Detailed Solution for KIITEE Mock Test - 8 - Question 24

KIITEE Mock Test - 8 - Question 25

If e and e′ are the respective eccentricities of hyperbolas , then

Detailed Solution for KIITEE Mock Test - 8 - Question 25

KIITEE Mock Test - 8 - Question 26

cos-1 is equal to

Detailed Solution for KIITEE Mock Test - 8 - Question 26

cos-1
= cos-1
= cos-1 {cos(π - x) = cos(π + x) = -cos x}
= cos-1
( 0 ≤ cos-1 x ≤ π)

KIITEE Mock Test - 8 - Question 27

A random variable X has the following probability distribution:

The mean and standard deviations, respectively, are

Detailed Solution for KIITEE Mock Test - 8 - Question 27

KIITEE Mock Test - 8 - Question 28

The slopes of tangents drawn from a point (4, 10) to the parabola y2 = 9x are

Detailed Solution for KIITEE Mock Test - 8 - Question 28

The equation of a tangent of slope m to the parabola 

If it passes through (4, 10), then

KIITEE Mock Test - 8 - Question 29

If the system of equations x + ay + az = 0, bx + y + bz = 0 and cx + cy + z = 0, where a, b and c are non-zero and non-unity, has a non-trivial solution, then the value of  is

Detailed Solution for KIITEE Mock Test - 8 - Question 29

KIITEE Mock Test - 8 - Question 30

The sum of n terms of the series 1 + (1 + 3) + (1 + 3 + 9) + (1 + 3 + 9 + 27) + ...... is

Detailed Solution for KIITEE Mock Test - 8 - Question 30

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