A) eight times that of initial value
B) four times that of initial value
C) twice of the initial value
D) remain as the initial value
Correct Answer: C
Solution :
For a body of mass m, moving with velocity v, momentum (p) = mass (m) x velocity (v) Also kinetic energy \[(K)=\frac{1}{2}m{{v}^{2}}\] Since, m is constant, when kinetic energy becomes four times. Velocity becomes twice of its initial value. New linear momentum is given by \[p=m\times 2v\] \[=2mv=2p\] Hence, new linear momentum becomes twice of the initial value.
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