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

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

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

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

Open in App

Solution

The correct options are
B
C
$r_{1} = r_{2} \Rightarrow \frac{π η r_{1}^{4} θ_{1}}{2 l_{1}} = \frac{π η r_{2}^{4} θ_{2}}{2 l_{2}} \Rightarrow \frac{θ_{1}}{θ_{2}} = {(\frac{r_{2}}{r_{1}})}^{4}$
When strain is unity then Young's modulus is equal to stress.

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