A) \[\frac{r_{1}^{2}}{r_{2}^{2}}\]
B) \[\frac{r_{2}^{2}}{r_{1}^{2}}\]
C) \[\frac{r_{2}^{4}}{r_{1}^{4}}\]
D) \[\frac{r_{1}^{4}}{r_{2}^{4}}\]
Correct Answer: C
Solution :
Twisting couple \[C=\frac{\pi \eta {{r}^{4}}\theta }{2l}\] If material and length of the wires A and B are equal and equal twisting couple are applied then \[\theta \propto \frac{1}{{{r}^{4}}}\] \ \[\frac{{{\theta }_{1}}}{{{\theta }_{2}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{4}}\]You need to login to perform this action.
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