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, \[{{p}_{2}}=2{{p}_{1}}\] \[\therefore \] \[{{p}_{new}}=2{{p}_{\text{intial}}}\]
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