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A spherical ball of volume 1000cm^(3) is...

A spherical ball of volume `1000cm^(3)` is subjected to a presure of 10 atmosphere. The change in volume is `10^(-8cm^(3).` If the ball is made of iron, find its bulk modulus.
`("1 atmoshphere"=1xx10^(5)Nm^(-2)).`

Text Solution

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Volume of ball, `V=1000cm^(3)=10^(-3)m^(3)`
`(because1M^(3)=10^(6)cm^(3))`
`"Pressure, P"=10" atmoshpheres "`
`=10xx10^(5)" pa "(because1" atm "=10^(5)" pascal ")`
Change in volume,`DeltaV=10^(-8)cm^(3)`
`K=(PV)/(DeltaV)=(10^(6)xx10^(-3))/(10^(-8))=1xx10^(11)N//m^(2)`
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