A) \[\frac{S{{R}^{2}}}{AY}\]
B) \[\frac{2S{{R}^{2}}}{AY}\]
C) \[\frac{S{{R}^{2}}}{3AY}\]
D) none of these
Correct Answer: B
Solution :
[B]Consider an element of wire forming angle \[\theta \] at the center |
\[2T\sin \frac{d\theta }{2}=2\times [S\times R\times d\theta ]\] |
\[\therefore T=2SR\] |
\[Y=\frac{Fl}{A\Delta l}\] |
\[\frac{YA\times \Delta R}{R}=2SR\] |
\[\Delta R=\frac{2S{{R}^{2}}}{YA}\] |
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