A) 20%
B) 24%
C) 40%
D) 44% (e) None of the above
Correct Answer: D
Solution :
(e) AS \[KE=\frac{{{p}^{2}}}{2m}\] Percentage change in \[KE=\frac{K{{E}_{f}}-K{{E}_{i}}}{K{{E}_{i}}}\times 100\] \[\frac{\frac{p_{f}^{2}}{2m}-\frac{p_{i}^{2}}{2m}}{\frac{p_{i}^{2}}{2m}}\times 100=20\] \[\Rightarrow \] \[\frac{pf}{{{p}_{i}}}=\sqrt{1.2}=1.095\] \[\Rightarrow \] \[\frac{{{p}_{f}}-{{p}_{i}}}{{{p}_{i}}}=0.095\] Therefore % increase = 9.5% (no answer correct).
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