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Physics Question on Waves

For a solid rod, the Young's modulus of elasticity is 32×1011Nm−232 \times 10^{11} Nm ^{-2} and density is 8×103kgm−38 \times 10^3 kg m ^{-3} The velocity of longitudinal wave in the rod will be

A

3.65×103ms−13.65 \times 10^3 ms ^{-1}

B

18.96×103ms−118.96 \times 10^3 ms ^{-1}

C

145.75×103ms−1145.75 \times 10^3 ms ^{-1}

D

6.32×103ms−16.32 \times 10^3 ms ^{-1}

Answer

6.32×103ms−16.32 \times 10^3 ms ^{-1}

Explanation

Solution

The velocity of longitudinal wave in the rod will be :
v=3.2×10118×103v = \sqrt{\frac{3.2\times10^{11}}{8 \times 10^3}}
= 6.32×103  m/s6.32 \times 10^3\;m/s
The Correct Option is (D) 6.32×103  ms−16.32×10^3\;ms^{−1}