Test Academy | Two wires A and B of same length and of the same material have the respective radii r₁ and r₂. 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 r²₁/r₂², r₂²/r²₁, r₂⁴/r₁⁴, r₁⁴/r₂⁴

Question

Two wires A and B of same length and of the same material have the respective radii r₁ and r₂. 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

Options :

r²₁/r₂²
r₂²/r²₁
r₂⁴/r₁⁴
r₁⁴/r₂⁴

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