A) remain constant
B) increase by a factor of 2
C) increase by a factor of 4
D) decrease by a factor of 2
Correct Answer: C
Solution :
From the law of conservation of angular momentum \[mvr=mv'\frac{r}{2}\] \[v'=2v\] So, \[\frac{{{k}_{1}}}{{{k}_{2}}}=\frac{\frac{1}{2}m{{v}^{2}}}{\frac{1}{2}m{{v}^{'2}}}\] \[\frac{{{k}_{1}}}{{{k}_{2}}}=\frac{{{v}^{2}}}{v{{'}^{2}}}\] \[=\frac{{{v}^{2}}}{{{(2v)}^{2}}}\] \[\frac{{{k}_{1}}}{{{k}_{2}}}=\frac{1}{4}\] \[{{k}_{1}}=\frac{1}{4}{{k}_{2}}\] \[{{k}_{2}}=4{{k}_{1}}\]
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