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A metal cube of side 1m is subjected to ...

A metal cube of side 1m is subjected to a uniform force acting normally on the whole surface of the cube. If the volume changes by `1.5 xx 10^(-5) m^(3)` and if the pressure is `10^(6) Pa`, find the bulk modulus of the metal.

Text Solution

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Bulk modulus `= K = ( F//A)/( Delta V //V) = ( PV)/( Delta V )`
Change in pressure `= P = 10^(6) Pa`
Original volume `= V = l^(3) =l = m^(3)`
Change in the volume `= Delta V = 1.5 xx 10^(-5) m^(3)`
`K = ( 10^(6) xx 1 )/( 1.5 xx 10^(-5))`
`= 6.67 xx 10^(10) N//m^(2)`
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