Two wires $A$ and $B$ of the same length and of the same material have the respective radii $r_1$ and $r_2$. Their one end is fixed to a rigid support,and at the other end,an equal twisting couple is applied. The ratio of the angle of twist at the end of $A$ to the angle of twist at the end of $B$ will be:

  • A
    $r_1^2 / r_2^2$
  • B
    $r_2^2 / r_1^2$
  • C
    $r_2^4 / r_1^4$
  • D
    $r_1^4 / r_2^4$

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