A block of weight \( 100 \mathrm{~N} \) is suspended by copper and ...

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A block of weight \( 100 \mathrm{~N} \) is suspended by copper and steel wires of same cross sectional area \( 0.5 \mathrm{~cm}^{2} \) and,
\( \mathrm{P} \) length \( \sqrt{3} \mathrm{~m} \) and \( 1 \mathrm{~m} \), respectively. Their other ends

W are fixed on a ceiling as shown in figure. The angles subtended by copper and steel wires with ceiling are \( 30^{\circ} \) and \( 60^{\circ} \), respectively. If elongation in copper wire is \( \left(\Delta \ell_{c}\right) \) and elongation in steel wire is \( \left(\Delta \ell_{\mathrm{s}}\right) \), then the ratio \( \frac{\Delta \ell_{\mathrm{C}}}{\Delta \ell_{\mathrm{S}}} \) is
[JEE Advanced 2019]
[Young's modulus for copper and steel are \( 1 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2} \) and \( 2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2} \) respectively]
\( \frac{\text { IIIIIIIII }}{60^{\circ}} \)
Steel
\( 1 \mathrm{~m} \) Copper wire
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