A body is kept on the floor of a topless lift at rest. The lift starts descending at an
acceleration ‘a’ then

A) If a > g, the displacement of the body in a time ‘t’ is $\frac{1}{2} g t^{2}$ w.r.t ground.

B) If a < g, the displacement of the body in a time‘t’ is $\frac{1}{2} a t^{2}$ w.r.t ground.

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Both A & B are true

A is true & B is false

A is false & B is true

Both A & B are false

answer is A.

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Detailed Solution

If a > g body loses contact with floor of lift. Hence it behaves like a freely falling body .

$∴$ Displacement is $\frac{1}{2} g t^{2} w r t$ ground.

If a<g body is in contact with floor of lift.

$∴$ Distance travelled by lift in time ‘t’ is same as distance covered by the body.

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