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Q.

A particle of mass 'm' and initially at rest is acted by a force F = a t. N . Best representation of force displacement graph is (S assumes positive values only ) :

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a

b

c

d

answer is A.

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Detailed Solution

F = at; mdvdt = at;  ∫0vmdv = ∫0tat dtmv = at22;  mdsdt = at22∫0vmds = ∫0tat22dtms = at36 = a6(Fa)3;∴  S ∝ F3     or F ∝ S13
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A particle of mass 'm' and initially at rest is acted by a force F = a t. N . Best representation of force displacement graph is (S assumes positive values only ) :