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1
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1 English
Hindi

A particle of mass 500 gm is moving in a straight line with velocity v = b x5/2. The work done by the net force during its displacement from x = 0 to x = 4 m is : (Take b = 0.25 m$$-$$3/2 s$$-$$1).

A
2 J
B
4 J
C
8 J
D
16 J
2
JEE Main 2022 (Online) 27th June Evening Shift
+4
-1 English
Hindi

A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of bullet is :

(Given : initial temperature of the bullet = 127$$^\circ$$C, Melting point of the bullet = 327$$^\circ$$C, Latent heat of fusion of lead = 2.5 $$\times$$ 104 J kg$$-$$1, Specific heat capacity of lead = 125 J/kg K)

A
125 ms$$-$$1
B
500 ms$$-$$1
C
250 ms$$-$$1
D
600 ms$$-$$1
3
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1 English
Hindi

What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of 5 times its mass?

(Assume the collision to be head-on elastic collision)

A
50.0%
B
66.6%
C
55.6%
D
33.3%
4
JEE Main 2022 (Online) 26th June Evening Shift
+4
-1 English
Hindi

In the arrangement shown in figure a1, a2, a3 and a4 are the accelerations of masses m1, m2, m3 and m4 respectively. Which of the following relation is true for this arrangement? A
4a1 + 2a2 + a3 + a4 = 0
B
a1 + 4a2 + 3a3 + a4 = 0
C
a1 + 4a2 + 3a3 + 2a4 = 0
D
2a1 + 2a2 + 3a3 + a4 = 0
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