A stationary object suddenly explodes into two fragments, ratio of whose masses is 1 : 3. If after 1 second, separation between the fragments is 10 m, velocity of the lighter fragment after the explosion is
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a
12.5 m/s
b
15 m/s
c
10 m/s
d
7.5 m/s
answer is D.
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Detailed Solution
Conserving momentum, 1×V1−3×V2=0⇒V2=V1/3Now (V1+V2)×t=x⇒(V1+V1/3)×1=10⇒V1=7.5 m/s