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Q.

A force F acting on a body depends on its displacement s as F∝s1/3 . The power delivered by F will depend on displacement as

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a

s0

b

s1/2

c

s-5/3

d

s2/3

answer is D.

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Detailed Solution

F∝s-1/3 ⇒a∝s-1/3 ⇒dvdt∝s-1/3

⇒vdvds∝s-1/3

⇒∫vdv∝∫s-1/3ds ⇒v∝s1/3

⇒P=Fv ⇒P∝s-1/3s1/3⇒P∝s0

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