Two wires A and B of same length and of the same material have the respective radii $r_{1} a n d r_{2}$ . Their one end is fixed with a rigid support, and at the other ends equal twisting couple is applied. Then the ratio of the angle of twist at the end of A and The angle of twist at the end of B will be

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Solution

The correct option is C

Twisting couple $C = \frac{π η r^{4} θ}{2 l}$
If material and length of the wires A and B are equal and equal twisting couple are applied then
$θ \propto \frac{1}{r^{4}} ∴ \frac{θ_{1}}{θ_{2}} = (\frac{r_{2}}{r_{1}})^{4}$

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The correct option is C

Twisting couple $C = \frac{π η r^{4} θ}{2 l}$
If material and length of the wires A and B are equal and equal twisting couple are applied then
$θ \propto \frac{1}{r^{4}} ∴ \frac{θ_{1}}{θ_{2}} = (\frac{r_{2}}{r_{1}})^{4}$