A) become four times its initial value
B) become two times its initial value
C) become half of its initial value
D) remain constant
Correct Answer: B
Solution :
The relation between kinetic energy K, and momentum p is \[p=\sqrt{2\,mK}\] where m is mass of the body. Given, \[{{K}_{1}}=K,\,\,{{K}_{2}}=4\,K\], \[\therefore \] \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{\sqrt{2\,mK}}{\sqrt{2\,m\,(4K)}}=\frac{1}{2}\] \[\Rightarrow \] \[{{p}_{2}}=2\,{{p}_{1}}\] Hence, momentum becomes two times of its initial value.
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