A) \[{{p}_{new}}=3{{p}_{initial}}\]
B) \[{{p}_{new}}=4{{p}_{initial}}\]
C) \[{{p}_{new}}=2{{p}_{initial}}\]
D) \[{{p}_{new}}={{p}_{initial}}\]
Correct Answer: C
Solution :
The relation between kinetic energy (K) and momentum (p) is \[p=\sqrt{2mK}\]where m is mass of body. \[\therefore \] \[{{\left( \frac{{{p}_{2}}}{{{p}_{1}}} \right)}^{2}}=\frac{{{K}_{2}}}{{{K}_{1}}}=4\] Hence, \[{{p}_{2}}=2{{p}_{1}}\] \[\therefore \] \[{{P}_{new}}={{P}_{initial}}\]
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