A sphere of radius 3 cm is subjected to a pressure of 100 atm. Its volume decreases by 0.3 cc. What will be its bulk modulus?

Question

A sphere of radius 3 cm is subjected to a pressure of 100 atm. Its volume decreases by 0.3 cc. What will be its bulk modulus? (A) 4π× 105 atm (B) 4π×3×103 atm (C) 4π×106 atm (D) 4π×108 atm

Tardigrade Admin · Accepted Answer

Given r=3 cm , Δ V=0.3 cc Bulk modulus K=-(p V/Δ V) =(100 × (4/3) π r3/0.3) =4 π × 3 × 103 atm We can see there is no correct choice given.

Q. A sphere of radius $3 c m$ is subjected to a pressure of $100$ atm. Its volume decreases by $0.3 cc$ . What will be its bulk modulus?

$4 π \times 1 0^{5} a t m$

$4 π \times 3 \times 1 0^{3} a t m$

$4 π \times 1 0^{6} a t m$

$4 π \times 1 0^{8} a t m$

Given $r = 3 c m, Δ V = 0.3 cc$
Bulk modulus $K = - \frac{p V}{Δ V}$
$= \frac{100 \times \frac{4}{3} π r ^{3}}{0.3}$
$= 4 π \times 3 \times 1 0^{3}$ atm
We can see there is no correct choice given.

Q. A sphere of radius 3cm is subjected to a pressure of 100 atm. Its volume decreases by 0.3cc. What will be its bulk modulus?

4π×105atm

4π×3×103atm

4π×106atm

4π×108atm