Two wire of the same material (youngs modulus \( = \) \( Y \) ) and same length \( L \) but ra...

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Two wire of the same material (youngs modulus \( = \) \( Y \) ) and same length \( L \) but radii \( \mathrm{R} \) and \( 2 \mathrm{R} \)
\( P \) respectively are joined end to end and a weight

W \( \mathrm{W} \) is suspended from the combination as shown in the figure. The elastic potential energy in the system is :-
(1) \( \frac{3 \mathrm{~W}^{2} \mathrm{~L}}{4 \pi \mathrm{R}^{2} \mathrm{Y}} \)
(2) \( \frac{3 W^{2} L}{8 \pi R^{2} Y} \)
(3) \( \frac{5 W^{2} L}{8 \pi R^{2} Y} \)
(4) \( \frac{\mathrm{W}^{2} \mathrm{~L}}{\pi \mathrm{R}^{2} \mathrm{Y}} \)
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