A) 1:4
B) 2:1
C) \[\sqrt{2}:1\]
D) 1:2
Correct Answer: D
Solution :
The relation between momentum and kinetic energy. \[{{p}^{2}}=2m{{E}_{K}}\] If kinetic energy is same Then, \[\frac{p_{1}^{2}}{p_{2}^{2}}=\frac{{{m}_{1}}}{{{m}_{2}}}\] \[=\frac{1}{4}\] or \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{1}{2}\] or \[{{p}_{1}}:{{p}_{2}}=1:2\]
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