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Question

In a liquid with density 1300 kgm3, longitudinal waves with frequency 400 Hz are found to have wavelength 8.00 m. Calculate the bulk modulus of the liquid.


A

1.33 x 1010 N/m2

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B

3.33 N/m2

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C

3.33 x 1010 N/m2

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D

1.33 N/m2

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Solution

The correct option is A

1.33 x 1010 N/m2


Given ρ = 1300 kgm3

F = 400 Hz

λ = 8 m

To find B Okay if nothing is coming to head then just try to write down a formula with the Bulk modulus.

Aah!v=Bρ

Velocity of sound in a medium

Hmm!!! But I don't know velocity also.

Is there any other way to find that out.

Yes, of course!

V = λf

= 8 × 400

V = 3200

Now go back to the first equation

v=Bρ

B =v2×ρ

B =(3200)2× 1300

= 13312× 106

B = 1.33× 1010Nm2


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