A spherical ball contracts in volume by 0.02 %, when subjected to a normal uniform pressure of 50 atmosphere. The Bulk modulus of its material is

Question

A spherical ball contracts in volume by 0.02 %, when subjected to a normal uniform pressure of 50 atmosphere. The Bulk modulus of its material is (A) 1 × 1011 N / m 2 (B) 2 × 1010 N / m 2 (C) 2.5 × 1010 N / m 2 (D) 1 × 1013 N / m 2

Tardigrade Admin · Accepted Answer

(Δ v/v)=-(P/B) (Δ v/v) = (-0.02/100) P=50 atm =50 × 1.01 × 105 Pa or N / m 2 So B =50 × 1.01 × 105 × (100/0.02) =2.5 × 1010 N / m 2

Q. A spherical ball contracts in volume by $0.02%$ , when subjected to a normal uniform pressure of $50$ atmosphere. The Bulk modulus of its material is

$1 \times 1 0^{11} N / m^{2}$

$2 \times 1 0^{10} N / m^{2}$

$2.5 \times 1 0^{10} N / m^{2}$

$1 \times 1 0^{13} N / m^{2}$

$\frac{Δ v}{v} = - \frac{P}{B}$
${\frac{Δ v}{v} = \frac{- 0.02}{100}}$
$P = 50 a t m = 50 \times 1.01 \times 1 0^{5} P a$ or $N / m^{2}$
So $B = 50 \times 1.01 \times 1 0^{5} \times \frac{100}{0.02}$
$= 2.5 \times 1 0^{10} N / m^{2}$

Q. A spherical ball contracts in volume by 0.02%, when subjected to a normal uniform pressure of 50 atmosphere. The Bulk modulus of its material is

1×1011N/m2

2×1010N/m2

2.5×1010N/m2

1×1013N/m2