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For a solid rod, the Young's modulus of elasticity is 3 . 2 × 10 11 N m - 2 and density is 8 × 10 3 kg m - 3 . The velocity of longitudinal wave in the rod will be

Options

  1. A145 . 75 × 10 3   m   s - 1
  2. B3 . 65 × 10 3   m   s - 1
  3. C18 . 96 × 10 3   m   s - 1
  4. D6 . 32 × 10 3   m   s - 1

Correct answer

D. 6 . 32 × 10 3   m   s - 1

Step-by-step solution

The velocity of longitudinal wave in the rod will be, v = Y ρ = 3 . 2 × 10 11 8 × 10 3 = 2 × 10 3 10 ≈ 6 . 32 × 10 3   m   s - 1

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