Question 286: Properties of Matter

Question

When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases by 0.5%. (The bulk modulus of rubber = 9.8 $$	imes$$ 108 Nm$$-$$2, Density of sea water = 103 kgm$$-$$3, g = 9.8 m/s2)

Accepted Answer

$$B =  - {{\Delta P} \over {\left( {{{\Delta V} \over V}} ight)}} =  - {{ho gh} \over {\left( {{{\Delta V} \over V}} ight)}}$$
$$ - {{B{{\Delta V} \over V}} \over {ho g}} = h$$
$${{9.8 	imes {{10}^8} 	imes 0.5} \over {100 	imes {{10}^3} 	imes 9.8}} = h$$
h = 500

Properties of Matter

When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases by 0.5%. (The bulk modulus of rubber = 9.8 $\times 108 Nm-2, Density of sea water = 103 kgm-$3, g = 9.8 m/s2)

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