Question 153: Properties of Matter

Question

A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the
length of the side of the cube is close to :
(Given bulk modulus of metal, B = 8 $$ 	imes $$ 10
10
Pa)

Accepted Answer

Bulk Modulus, B = $$\left(  -  ight){{\Delta P} \over {\Delta V/V}} $$
$$\Delta P = -\left( {{{\Delta V} \over V}} ight).B$$
$$ = -{{3\Delta L} \over L} 	imes B$$
$$ 	herefore $$ $$|{{\Delta L} \over L}| = {{\Delta P} \over {3B}}$$
$$ 	herefore $$ % change, $${{\Delta L} \over L} 	imes 100\% $$
= $${1 \over 3}{{\Delta P} \over B} 	imes 100$$
= $${{4 	imes {{10}^9}} \over {8 	imes {{10}^{10}}}} 	imes 100$$
= $${1 \over {60}} 	imes 100$$ = 1.67

Answer

0.6

Answer

20

Answer

1.67

Answer

5

Properties of Matter

A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the length of the side of the cube is close to : (Given bulk modulus of metal, B = 8 $ \times $ 10 10 Pa)

Choose the correct answer: