JEE Main 2022 · 28 Jul · Shift 2 · Physics Q4

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PhysicsSingle correct+4 / -1Question 4 of 90

A uniform metal chain of mass m and length 'L' passes over a massless and frictionless pulley. It is released from rest with a part of its length ' $l$ ' is hanging on one side and rest of its length 'L − $l$ ' is hanging on the other side of the pully. At a certain point of time, when $l=\dfrac Lx$ , the acceleration of the chain is $\dfrac g2$ . The value of $x$ is ______.

A chain over a fixed pulley with length l hanging on the left and L − l on the right.

1.5

Answer and worked solution

Official answer: D

Chain. The net pull is the weight difference: $a=\frac{g(L-2l)}L=\frac g2$ when $l=\frac L4$ .

$x=4$ . (D)

Topics:Constraint motion and pulleys

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JEE Main 2022 · 28 Jul · Shift 2, Physics question 4