Waves

JEE Main level, single correct, medium

134 of 142

Question 134 of 142

For a solid rod, the Young's modulus of elasticity is 3.2×1011Nm−23.2\times {10}^{11}N{m}^{-2} and density is 8×103kgm−38\times {10}^{3}kg{m}^{-3}. The velocity of longitudinal wave in the rod will be

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Answer: (D) 6.32×103ms−16.32\times {10}^{3}m{s}^{-1}

The velocity of longitudinal wave in the rod will be, v=Yρ=3.2×10118×103v=\sqrt{\dfrac{Y}{\rho }} =\sqrt{\dfrac{3.2\times {10}^{11}}{8\times {10}^{3}}}
=2×10310=2\times {10}^{3}\sqrt{10}
≈6.32×103ms−1\approx 6.32\times {10}^{3}m{s}^{-1}

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