You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Work Function

Copper has ri...

Question

Copper has rigidity modulus $4 \times 10^{10} N / m^{2}$ , bulk modulus $1.2 \times 10^{11} N / m^{2}$ and density $9 g / c m^{3}$ . The velocity of longitudinal wave, when set up in a solid copper rod, is nearly

4389 m s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5000 m s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4000 m s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4300 m s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $4389 m s$
Given: Rigidity modulus $= 4 \times 10^{10} N / m^{2}$
Bulk modulus $= 1.2 \times 10^{11} N / m^{2}$
Density $= 9 g / c m^{3}$

Velocity $= \sqrt{\frac{K + \frac{4}{3} η}{ρ}}$

$= \sqrt{\frac{1.2 \times 10^{11} + \frac{4}{3} (4 \times 10^{10})}{9000}} \approx 4389 m / s$

Suggest Corrections

Similar questions

In a liquid with density $1300 \frac{k g}{m^{3}}$ , longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid.

Q. A copper solid cube of

60 m m .

side is subjected to a pressure of

2.5 \times 10^{7} N / m^{2}

. If the bulk modulus of copper is

1.25 \times 10^{11} N / m^{2}

then the change in the volume of the cube will be :

Q. For a material

Y = {6.6 \times 10}^{10} {N / m}^{2}

and bulk modulus

K {11 \times 10}^{10} {N / m}^{2}

, then its Poisson's ratio is:

Q. Let

C_{1}

be the velocity of pressure wave travelling along rigid pipe carrying water with its bulk modulus

2.16 \times 10^{9} N / m^{2}

. Let

C_{2}

be the velocity of pressure wave travelling along a rigid pipe carrying oil of relative density 0.600 with its bulk modulus as

1.296 \times 10^{9} N / m^{2}

\frac{C_{1}}{C_{2}}

Q. (a) A longitudinal wave propagating in a water-filled pipe has intensity

3.00 \times 10^{- 6} W / m^{2}

and frequency 3400 Hz. Find the amplitude A and wavelength

λ

of the wave. Water has density

1000 k g / m^{3}

and bulk modulus

2.18 \times 10^{9}

Pa.

Join BYJU'S Learning Program

Copper has rigidity modulus 4×1010N/m2, bulk modulus 1.2×1011N/m2 and density 9 g/cm3. The velocity of longitudinal wave, when set up in a solid copper rod, is nearly

The correct option is A 4389 msGiven: Rigidity modulus =4×1010 N/m2 Bulk modulus =1.2×1011 N/m2 Density =9 g/cm3Velocity =  ⎷K+43ηρ = ⎷1.2×1011+43(4×1010)9000≈4389m/s

Copper has rigidity modulus $4 \times 10^{10} N / m^{2}$ , bulk modulus $1.2 \times 10^{11} N / m^{2}$ and density $9 g / c m^{3}$ . The velocity of longitudinal wave, when set up in a solid copper rod, is nearly