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Question

The bulk modulus and the density of water are greater than those of air. With this much of information, we can say that velocity of sound in air


A

Is larger than its value in water

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B

Is smaller than its value in water

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C

Is equal to its value in water

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D

cannot be compared with its value in water

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Solution

The correct option is D

cannot be compared with its value in water


Velocity of sound in air vair=Bairρair

Velocity of sound in water vwater=Bwaterρwater

If only Bwater > Bair­

Then for sure Vwater < Vair.

If only ρwater > ρair

Then for sure Vwater > Vair

But if both are greater

WE can't say how the ratio's will be related

It's a maths problem.

If BwaterBair > ρWaterρair,

then we can say Vwater < Vair


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