A) \[\frac{1}{12}\]
B) \[\frac{1}{24}\]
C) \[\frac{12}{1}\]
D) \[\frac{24}{1}\]
Correct Answer: B
Solution :
\[{{m}_{e}}.{{m}_{m}}=3:2,\,\,{{r}_{m}}:{{r}_{m}}=6:1\,\,{{w}_{e}}:{{w}_{m}}=?\] We know, weight w = mg and m is constant \[\therefore \frac{W}{{{W}_{m}}}=\frac{{{g}_{e}}}{{{g}_{m}}}=\frac{GM}{{{\operatorname{Re}}^{2}}}\times \frac{R{{m}^{2}}}{G{{m}_{m}}}\] \[=\frac{3}{2}\times {{\left( \frac{1}{6} \right)}^{2}}=\frac{3}{2}\times \frac{1}{36}=\frac{1}{24}\]
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