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A copper cube of side of length 1 cm is ...

A copper cube of side of length 1 cm is subjected to a pressure of 100 atmosphere. Find the change in its volume if the bulk modulus of copper is `1.4xx10^(11)Nm^(-2)`
`("1 atm"=1xx10^(5)Nm^(-2)).`

Text Solution

Verified by Experts

Side of cube, `.a.=1cm=10^(-2)m`
`therefore"Volume of cube"=10^(-6)m`
`"Pressure, P"=100"atm"=100xx10^(5)=10^(7)"pa"`
`"Bulk modulus, K"=1.4xx10^(11)N//m^(2),`
Change in volume,`DeltaV=(P*V)/(K)`
`=(10^(7)xx10^(-6))/(1.4xx10^(11))=(10^(-10))/(1.4)=0.7143xx10^(-10)m^(3)`
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