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Two bodies of masses 4kg and 16kg are at rest. The ratio of times for which the same force must act on them to produce the same kinetic energy in both of them is

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a
1 : 4
b
2 : 1
c
1 : 2
d
4 : 1

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detailed solution

Correct option is C

a = F/m

KE = 12mv2=12m(at)2=12m(Fmt)2=F22mt2

KE1 = KE2 

t122m1=t222m2

t1t2=m1m2=416=12

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