A) \[\frac{5g}{7}\]
B) \[\frac{5g}{14}\]
C) \[\frac{2g}{3}\]
D) \[\frac{g}{3}\]
E) \[\frac{5g}{17}\]
Correct Answer: B
Solution :
Acceleration due to rolling of body on an inclined plane \[a=\frac{g\sin \theta }{1+\frac{{{K}^{2}}}{{{R}^{2}}}}\] \[a=\frac{g\sin 30{}^\circ }{1+\frac{2}{5}}\] \[\left[ \because \,\text{For}\,\text{sphere}\,\frac{{{K}^{2}}}{{{R}^{2}}}=\frac{2}{5} \right]\] \[=\frac{g\times \frac{1}{2}}{\frac{5+2}{5}}\] \[a=\frac{g\text{/}2}{7\text{/}5}=\frac{5g}{14}\]
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