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Find the change in the volume of 1.0 lit...

Find the change in the volume of 1.0 litre kerosene when it is subjected to an extra pressure of `2.0xx 10^5 N m^-2` from the following data. Density of kerosene `= 800 kg m^-3` and speed of sound in kerosene `= 1330 m s^-1`

Text Solution

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The correct Answer is:
A, C, D
We know that `v=sqrt((K/p))`
`where k=bulk modulus of elasticity
`rarr k=v^2rho=(1330)^2xx800N/m^2`
we know `K=(F/A)/((/_\V)/V)`
`rarr /_\V=Pressure/K`
`=(2xx10^5)/(13330xx1330xx800)`
`So /_\V=0.15cm^-3`
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