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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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