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

$\frac{r_{1}^{2}}{r_{2}^{2}}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{r_{2}^{2}}{r_{1}^{2}}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{r_{2}^{4}}{r_{1}^{4}}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$\frac{r_{1}^{4}}{r_{2}^{4}}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
$\frac{r_{2}^{4}}{r_{1}^{4}}$

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
$θ \propto \frac{1}{r^{4}} ∴ \frac{θ_{1}}{θ_{2}} = (\frac{r_{2}}{r_{1}})^{4}$

Suggest Corrections

Similar questions

Q. Two wires A and B of same length and of the same material have the respective radii

r_{1}

and

r_{2}

. Their one end is fixed with a rigid support, and at the other end 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

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