A) \[\frac{g}{20}\]
B) \[\frac{g}{5}\]
C) \[\frac{g}{10}\]
D) \[\frac{g}{30}\]
Correct Answer: B
Solution :
| [b] \[V\,\,=\,\,\sqrt{\frac{Mg}{\mu }}\] |
| \[\frac{\Delta \,V}{V}\,\,=\,\,\frac{1}{2}\,\,\frac{\Delta \,g}{g}\] |
| \[\frac{0.5}{60}\,\,\,=\,\,\,\frac{1}{2}\,\,\frac{(\sqrt{{{a}^{2}}+{{g}^{2}}}\,-\,\,g}{g}\,\,\] |
| \[\frac{1}{60}\,\,=\,\,1+\frac{1}{2}\,\,\frac{{{a}^{2}}}{{{g}^{2}}}\,\,-\,\,1\,\] |
| \[\frac{1}{60}\,\,=\,\,\frac{{{a}^{2}}}{2{{g}^{2}}}\] |
| \[\Rightarrow \,\,\,a=\frac{{{g}^{2}}}{\sqrt{30}}\,\,=\,\,\,\frac{g}{5}\] |
| \[\Rightarrow \,\,\,a=\frac{g}{\sqrt{30}}\,\,\simeq \,\,\,\frac{g}{5}\] |
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