NEET2017PhysicsMechanical Properties of SolidsActual
The bulk modulus of a spherical object is B . If it is subjected to uniform pressure p , the fractional decrease in radius is
Options
- Ap B
- BB 3 p
- C3 p B
- Dp 3 B
Correct answer
D. p 3 B
Step-by-step solution
V = V o l u m e   o f   s p h e r e = 4 3 π r 3 ⇒ ∆ V V = 3 ∆ r r also, bulk modulus, B = - p ∆ V V - ∆ V V = p B 3 Δ r r = p B Δ r r = p 3 B