What is Young-s modulus for this metal-A- none of these B- 9-47 - 1010 N - m -2C- 2 - 1010 N - m -2D- 1010 N - m -2

The correct option is B 9.47 x 1010 N/m 2 Speed of sound in the metal barlength of bar/time Speed v=1.5/3.9× 10^ 4=3846.1ms^ 1 Also speed of sound in a solid ...

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Standard XII

Physics

Derivation of the Speed of Sound

What is Young...

Question

A metal bar with a length of 1.50 m has density 6400 $\frac{k g}{m^{3}}$ .Longitudinal sound waves take $3.90 \times 10^{- 4}$ s to travel from one end of the bar to the other. What is Young's modulus for this metal?

9.47 x 10¹⁰ N/m^-2

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2 x 10¹⁰ N/m^-2

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10¹⁰ N/m^-2

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none of these

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Solution

The correct option is A
9.47 x 10¹⁰ N/m^-2

Speed of sound in the metal bar $\frac{l e n g t h o f b a r}{t i m e}$

Speed $v = \frac{1.5}{3.9 \times 10^{- 4}} = 3846.1 m s^{- 1}$

Also speed of sound in a solid bar $v = \sqrt{\frac{Y}{ρ}}$

$ρ = 6400 \frac{k g}{m^{3}}$

$3846.1 = \sqrt{\frac{Y}{6400}}$

$Y = 9.47 \times 10^{10} N m^{- 2}$

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A metal bar with a length of 1.50 m has density 6400 kgm3.Longitudinal sound waves take 3.90× 10−4 s to travel from one end of the bar to the other. What is Young's modulus for this metal?

The correct option is A 9.47 x 1010 N/m-2 Speed of sound in the metal bar length of bartime Speed v=1.53.9×10−4=3846.1ms−1 Also speed of sound in a solid bar v=√Yρ ρ=6400kgm3 3846.1=√Y6400 Y=9.47×1010Nm−2

A metal bar with a length of 1.50 m has density 6400 $\frac{k g}{m^{3}}$ .Longitudinal sound waves take $3.90 \times 10^{- 4}$ s to travel from one end of the bar to the other. What is Young's modulus for this metal?