A) \[r_{1}^{2}/r_{2}^{2}\]
B) \[r_{1}^{3}/r_{2}^{3}\]
C) \[r_{2}^{4}/r_{1}^{4}\]
D) \[r_{1}^{4}/r_{2}^{4}\]
Correct Answer: C
Solution :
[c] Couple per unit angle of twist, \[C=\frac{\pi \eta {{r}^{4}}}{2\ell }\] \[\therefore \,\,\,\,Couple\,\,\tau =C\theta =\frac{\pi \eta {{r}^{4}}\theta }{2\ell }\] Here \[\eta \], \[\ell \], C & \[\tau \] are same. So, \[{{r}^{4}}\theta =\]constant \[\therefore \,\,\,\frac{{{\theta }_{1}}}{{{\theta }_{2}}}=\left( \frac{r_{2}^{4}}{r_{1}^{4}} \right)\]You need to login to perform this action.
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