JEE Main Test 93

Result

JEE Main Test 93

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

Two bodies of masses m and 4m are placed at a distance r. The gravitational potential at a point on the line joining them where the gravitational field is zero, is

A

B

C

D
zero

Solution
Question 2
4 / -1

A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking, g = 10 ms^-2, find the work done (in joule) by string on the block of mass 0.36 kg during the first second after the system is released from rest.

A
8 J

B
9 J

C
7 J

D
0.48 J

Solution
Question 3
4 / -1

Let S_k be the sum of an infinite GP series whose first term k is k and common ratio is k/(k + 1) (k> 0). Then, the value of

A
log_e 4

B
log_e 2 - 1

C
1 - log_e 2

D
1 - log_e 4

Solution
Question 4
4 / -1

In a reversible ideal engine, 650 J of heat comes from source of 450 K, heat rejected to sink at 225 K is

A
325 J

B
625 J

C
700 J

D
800 J

Solution
Question 5
4 / -1

A piece of ice (heat capacity = 2100 J kg ^-1° C^-1 and latent heat = 3.36 × 10⁵J kg ^-1) of mass m gram is at –5°C at atmospheric pressure. It is given 420 J of heat, so that the ice starts melting. Finally when the ice-water mixture is in equilibrium, it is found that 1 g of ice has melted. Assuming there is no other heat exchange in the process, the value of m is

A
8

B
6

C
4

D
8.5

Solution
Question 6
4 / -1

A student is allowed to select atmost n books from a collection of (2n + 1) books. If the number of ways in which he can do this, is 64, then the value of n is

A
6

B
4

C
3

D
None of these

Solution

Select at most n books from (2n+1) is
Question 7
4 / -1

A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms^-1) through a hole on the side wall of the cylinder near its bottom, is

A
10

B
20

C
25.5

D
5

Solution
Question 8
4 / -1

One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A is p₀. Choose the correct option (s) from the following

A
Internal energies at A and B are the same

B
Work done by the gas in process AB is p₀V₀ In 4

C

D

Solution

In this figure unless it is mentioned that line BC passes through origin or not Hence, correct option is (1) and (2)
Question 9
4 / -1

A Carnot engine whose low temperature reservoir is at 7°C has an efficiency of 50%. It is desired to increase the efficiency to 70%. By how many degrees should the temperature of the high temperature reservoir be increased?

A
840 K

B
280 K

C
560 K

D
380 K

Solution
Question 10
4 / -1

For |χ| < 1, the constant term in the expansion of

A
2

B
1

C
0

D
-(1/2)

Solution