The bulk modulus of rubber is 9.1× 108N/m2 . To what depth a rubber ball be taken in a lake so that its volume is decreased by 0.1 % ?

Question

The bulk modulus of rubber is 9.1× 108N/m2 . To what depth a rubber ball be taken in a lake so that its volume is decreased by 0.1 % ? (A) 91m (B) 500m (C) 25m (D) 200m

Tardigrade Admin · Accepted Answer

K=(Δ P/(- (Δ V)V))=(h ρ g/(- (Δ V)V)) 9.1 × 108=(h × 103 × 10/((0.1)100)) ⇒ h=91 m

Q. The bulk modulus of rubber is $9.1 \times 1 0^{8} N / m^{2}$ . To what depth a rubber ball be taken in a lake so that its volume is decreased by $0.1%$ ?

$91 m$

$500 m$

$25 m$

$200 m$

$K = \frac{Δ P}{( - \frac{Δ V}{V} )} = \frac{h ρ g}{( - \frac{Δ V}{V} )}$
$9.1 \times 1 0^{8} = \frac{h \times 1 0 ^{3} \times 10}{( \frac{0.1}{100} )} \Rightarrow h = 91 m$

Q. The bulk modulus of rubber is 9.1×108N/m2 . To what depth a rubber ball be taken in a lake so that its volume is decreased by 0.1% ?

91m

500m

25m

200m