A) \[{{r}_{2}}/{{r}_{1}}\]
B) \[{{({{r}_{2}}/{{r}_{1}})}^{2}}\]
C) \[{{r}_{1}}/{{r}_{2}}\]
D) \[{{({{r}_{1}}/{{r}_{2}})}^{2}}\]
Correct Answer: A
Solution :
From the law of conservation of angular momentum |
\[m{{r}_{1}}{{v}_{1}}=m{{r}_{2}}{{v}_{2}}\] |
\[{{r}_{1}}{{v}_{1}}={{r}_{2}}{{v}_{2}}\] |
\[\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{{{r}_{2}}}{{{r}_{1}}}\] |
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