Longitudinal waves are produced in a certain rod of density $2600 k g / m^{3}$ and Young's modulus $6.5 \times 10^{10} N m^{- 2}$ . The speed of sound in the given rod is

500 m / s

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500 \sqrt{10} m / s

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5000 m / s

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50 \sqrt{10} m / s

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Solution

The correct option is B $5000 m / s$
Given : $ρ = 2600 k g / m^{3}$ and $Y = 6.5 \times 10^{10} N m^{- 2}$
Speed of sound in rod $v = \sqrt{\frac{Y}{ρ}}$
$∴$ $v = \sqrt{\frac{6.5 \times 10^{10}}{2600}} = 5000 m / s$

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Longitudinal waves are produced in a certain rod of density 2600kg/m3 and Young's modulus 6.5×1010 Nm−2. The speed of sound in the given rod is

The correct option is B 5000m/sGiven : ρ=2600 kg/m3 and Y=6.5×1010 Nm−2Speed of sound in rod v=√Yρ∴ v=√6.5×10102600=5000 m/s

Longitudinal waves are produced in a certain rod of density $2600 k g / m^{3}$ and Young's modulus $6.5 \times 10^{10} N m^{- 2}$ . The speed of sound in the given rod is

The correct option is B $5000 m / s$
Given : $ρ = 2600 k g / m^{3}$ and $Y = 6.5 \times 10^{10} N m^{- 2}$
Speed of sound in rod $v = \sqrt{\frac{Y}{ρ}}$
$∴$ $v = \sqrt{\frac{6.5 \times 10^{10}}{2600}} = 5000 m / s$