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
  • A$\frac{{r_1^2}}{{r_2^2}}$
  • B$\frac{{r_2^2}}{{r_1^2}}$
  • C$\frac{{r_2^4}}{{r_1^4}}$
  • D$\frac{{r_1^4}}{{r_2^4}}$
AIIMS 1980, Diffcult
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