﻿ A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to:  from Physics Work, Energy and Power Class 11 Manipur Board

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

C.

(iii) t3/2
As

Power, P = force × velocity

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

As,     P = [ML2T-3

= constant

∴  L2T-3 = constant

L2/T3 = constant

∴        L2 ∝ T

L ∝ T3/2
As

Power, P = force × velocity

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

As,     P = [ML2T-3

= constant

∴  L2T-3 = constant

L2/T3 = constant

∴        L2 ∝ T

L ∝ T3/2

Tips: -

As

Power, P = force × velocity

P = [MLT-2] [LT-1] = [ML2T-3

As,     P = [ML2T-3

= constant

∴  L2T-3 = constant

L2/T3 = constant

∴        L2 ∝ T

L ∝ T3/2
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