IIT-JEE Exam

STATEMENT-1
In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed
before the collision.
because
STATEMENT-2
In an elastic collision, the linear momentum of the system is conserved.
(A) Statement -1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.
(B) Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.
(C) Statement -1 is True, Statement-2 is False.
(D) Statement -1 is False, Statement-2 is True.

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IIT-JEE Other Question
STATEMENT-1
A block of mass m starts moving on a rough horizontal surface with a velocity v. It stops due to friction between the
block and the surface after moving through a certain distance. The surface is now tilted to an angle of 300 with the
horizontal and the same block is made to go up on the surface with the same initial velocity v. The decrease in the
mechanical energy in the second situation is smaller than that in the first situation.
because
STATEMENT-2
The coefficient of friction between the block and the surface decreases with the increase in the angle of inclination.
(A) Statement -1 is True, Statement-2 is True; Statement-2 is a correct explanation for statement-1.
(B) Statement -1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for statement-1.
(C) Statement -1 is True, Statement-2 is False.
(D) Statement -1 is False, Statement-2 is True The piston is taken completely out of the cylinder. The hole at the top is sealed. A
water tank is brought below the cylinder and put in a position so that the water surface
in the tank is at the same level as the top of the cylinder as shown in the figure. The
density of the water is ρ. In equilibrium, the height H of the water column in the
cylinder satisfies
(A) ρg(L0−H)2 + P0(L0 − H) + L0P0 = 0
(B) ρg(L0−H)2 − P0(L0 − H) − L0P0 = 0
(C) ρg(L0−H)2 + P0(L0 − H) − L0P0 = 0
(D) ρg(L0−H)2 − P0(L0 − H) + L0P0 = 0