IIT-JEE Exam

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

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IIT-JEE Other Question

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.
The number of structural isomers for C6H14 is
(A) 3 (B) 4
(C) 5 (D) 6