Question

10. A solid cube of copper of edge 10 cm subjected to
a hydraulic pressure of 7 * 106 Pa. If Bulk
modulus of copper is 140 GPa, then contraction in
its volume will be
(1) 5 x 10-8 m² (2) 4 x 10-8 m3
(3) 2 x 10-8 m3
(4) 108 m​

Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

A solid cube of copper of edge 10 cm subjected to a hydraulic pressure of ${\sf 7×10^6\:Pa}$. If Bulk modulus of copper is 140 GPa, then contraction in its volume will be

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Edge ( l ) = 10cm or 0.1m
• Hydraulic Pressure $\rho$ = ${\sf 7×10^6\:Pa}$
• Bulk modulus ( B ) = 140GPa

$\large\underline{\underline{\sf To\:Find:}}$

• Contraction in Volume (∆V)

✪$\large{\boxed{\bf \blue{B = \dfrac{P}{\dfrac{\triangle V}{V}} }}}$

$\implies{\sf \triangle V = Change\:in\:volume \\ \sf \dfrac{\rho V}{B}}$

Original Volume ( V ) = l³

✪$\large{\boxed{\bf \blue{ \triangle V =\dfrac{\rho V}{B} }}}$

$\implies{\sf \dfrac{7×10^6×(0.1)^3}{140×10^9} }$

$\implies{\bf \red{\triangle V =5×10^{-8}m^3}}$

$\huge\underline{\underline{\bf \green{Answer-}}}$

Contraction in bulk Volume is ${\bf \red{5×10^{-8}m^3}}$

Answer 2

Answer:

5×10^-8 m3 is the answer..