Question

A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to
(i) t1/2 (ii) t (iii) t3/2 (iv) t2​

Answer 1

Answer:

As power, P = force × velocity

P = [MLT-2] [LT-1] = [ML2T-3]

As, P = [ML2T-3]

= constant

∴ L2T-3 = constant

or, L2/T3 = constant

∴ L2 ∝ T3

or, L ∝ T3/2

Hence, right choice is (iii) t3/2

Answer 2

Answer:

As power, P = force × velocity

P = [MLT-2] [LT-1] = [ML2T-3]

As, P = [ML2T-3]

= constant

∴ L2T-3 = constant

or, L2/T3 = constant

∴ L2 ∝ T3

or, L ∝ T3/2

Hence, right choice is (iii) t3/2