Question

the bulk modulus of a spherical object is B . If it is subjected to uniform pressure p fractional decrease in radius is what?

Answer 1

the equation for this type of problem is 
B= -(change in p/change in V)*V
'change in' is represented by the triangle-shaped greek letter delta
-V is volume
-so,  change in V=change in p/B*V
so fractional decrease in radius depends onthe value of bulk modulus, volume, and pressure

Answer 2

Answer:

$\frac{p}{3B\\}$

Explanation:

Given that,

Pressure = p

Bulk modulus = B

We know,

B = P/ΔV/V  ⇒ ΔV/V = $\frac{p}{B}$ _____(1)

V = $\frac{4}{3}$ π $R^{3}$

ΔV/V = 3 ΔR/R  [While calculating fractional change, constants are eliminated.]

$\frac{p}{B}$ = 3 ΔR/R     [ From (1) ]

ΔR/R = $\frac{p}{3B}$