For a solid rod, the Young’s modulus of elasticity is and density is . The velocity of longitudinal wave in the rod will be [2023]

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Q.
For a solid rod, the Young’s modulus of elasticity is $3.2 \times 10^{11} {Nm}^{- 2}$ and density is $8 \times 10^{3} {kg m}^{- 3}$ . The velocity of longitudinal wave in the rod will be [2023]

Solution

Q.
For a solid rod, the Young’s modulus of elasticity is $3.2 \times 10^{11} {Nm}^{- 2}$ and density is $8 \times 10^{3} {kg m}^{- 3}$ . The velocity of longitudinal wave in the rod will be [2023]

1 $145.75 \times 10^{3} {ms}^{- 1}$

2 $3.65 \times 10^{3} {ms}^{- 1}$

3 $18.96 \times 10^{3} {ms}^{- 1}$

4 $6.32 \times 10^{3} {ms}^{- 1}$

Ans.
(4)

$v = \sqrt{\frac{Y}{ρ}} = \sqrt{\frac{3.2 \times 10^{11}}{8 \times 10^{3}}} = 2 \times 10^{3} \sqrt{10} = 6.32 \times 10^{3} m/s$

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Solution

Q. For a solid rod, the Young’s modulus of elasticity is 3.2×1011 Nm-2 and density is 8×103 kg m-3. The velocity of longitudinal wave in the rod will be [2023]

1 145.75×103 ms-1

2 3.65×103 ms-1

3 18.96×103 ms-1

4 6.32×103 ms-1

Ans. (4) v=Yρ=3.2×10118×103=2×10310=6.32×103 m/s

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Q.
For a solid rod, the Young’s modulus of elasticity is $3.2 \times 10^{11} {Nm}^{- 2}$ and density is $8 \times 10^{3} {kg m}^{- 3}$ . The velocity of longitudinal wave in the rod will be [2023]

1 $145.75 \times 10^{3} {ms}^{- 1}$

2 $3.65 \times 10^{3} {ms}^{- 1}$

3 $18.96 \times 10^{3} {ms}^{- 1}$

4 $6.32 \times 10^{3} {ms}^{- 1}$

Ans.
(4)

$v = \sqrt{\frac{Y}{ρ}} = \sqrt{\frac{3.2 \times 10^{11}}{8 \times 10^{3}}} = 2 \times 10^{3} \sqrt{10} = 6.32 \times 10^{3} m/s$