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PCM Mock Test (31 Oct) - JEE MCQ


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30 Questions MCQ Test Daily Test for JEE Preparation - PCM Mock Test (31 Oct)

PCM Mock Test (31 Oct) for JEE 2024 is part of Daily Test for JEE Preparation preparation. The PCM Mock Test (31 Oct) questions and answers have been prepared according to the JEE exam syllabus.The PCM Mock Test (31 Oct) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for PCM Mock Test (31 Oct) below.
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PCM Mock Test (31 Oct) - Question 1


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PCM Mock Test (31 Oct) - Question 2


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PCM Mock Test (31 Oct) - Question 3

The velocity of sound in air is 330 m/s. The r.m.s. velocity of air molecules (γ = 1.4) is approximately equal to -

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PCM Mock Test (31 Oct) - Question 4


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PCM Mock Test (31 Oct) - Question 5


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PCM Mock Test (31 Oct) - Question 6

An electric dipole of moment is placed at the origin along the X-axis. The electric field at a point , whose position vector makess an angle with the X-axis, will make an angle with the -axis, then is ()

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An electric dipole of moment
electric field -axis at a point
angle with axis

the value of the position vector makes an angle

now resolving into its components


Dividing 2 by 1


PCM Mock Test (31 Oct) - Question 7

A conducting loop of negligible thickness and of radius a = 6 cm, carries a charge of q = 4μC. The electric field (E) on the axis of symmetry of the loop at a distance of x = 8 cm from the centre of loop is

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PCM Mock Test (31 Oct) - Question 8
Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then
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There is no change in net charge due to induced charges. Net charge is conserved and it will be zero. But at near point charge sphere have induced non-uniform negative charge and the away part of the sphere has induced non-uniform positive charge. But the sum of these non-uniform negative and non-uniform positive is equal to zero.
PCM Mock Test (31 Oct) - Question 9
Three infinitely long charge sheets are placed as shown in figure. The electric field at point is
Detailed Solution for PCM Mock Test (31 Oct) - Question 9
Electric field due to the charged sheet is
Away from the if the charge is positive and towards the sheet if the charge is negative.
Let the sheet are A, B, C
Electric field at a point in between the sheets B and C is :
Electric field due to is towards
electric field due to towards is
Therefore, electric field due to is away from
Net electric field


And along the z-axis along unit vector
PCM Mock Test (31 Oct) - Question 10

Three concentric spherical metallic shells and of radii and have charge densities and respectively. The potential of and are

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PCM Mock Test (31 Oct) - Question 11


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PCM Mock Test (31 Oct) - Question 12


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PCM Mock Test (31 Oct) - Question 13


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PCM Mock Test (31 Oct) - Question 14


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PCM Mock Test (31 Oct) - Question 16


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PCM Mock Test (31 Oct) - Question 17


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PCM Mock Test (31 Oct) - Question 18


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PCM Mock Test (31 Oct) - Question 19


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PCM Mock Test (31 Oct) - Question 20


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PCM Mock Test (31 Oct) - Question 21


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PCM Mock Test (31 Oct) - Question 22


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PCM Mock Test (31 Oct) - Question 23


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PCM Mock Test (31 Oct) - Question 24


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PCM Mock Test (31 Oct) - Question 25


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PCM Mock Test (31 Oct) - Question 26


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PCM Mock Test (31 Oct) - Question 27

In the annual function at a school, 504 children participated.

The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.

Q. What is the approximate percentage of the boys who have participated in dance out of the total number of boys?

Detailed Solution for PCM Mock Test (31 Oct) - Question 27
Number of boys

Number of girls = 504 – 189 = 315

Girls participating in dance

Girls not participating in dance = 315 – 63 = 252

Girls participating in solo song =

Girls participating in group song

Girls participating in drama

Boys participating in group song

Remaining boys = 189 – 126 = 63

Boys participating in solo song

Boys participating in dance

Required percentage

PCM Mock Test (31 Oct) - Question 28


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PCM Mock Test (31 Oct) - Question 29


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PCM Mock Test (31 Oct) - Question 30

The general solution of the differential equation y (x2y + ex)dx – ex dy = 0 is -

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