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

The object is spherical and the bulk modulus is represented by B. It is the ratio of normal stress to the volumetric strain.Hence, B=F/AΔV/V∵p=FA⇒ΔVV=pB=ΔVV=pBHere, p is applied pressure on the object and ΔVVis volume strain. Fractional decrease in volume, ΔVV=3ΔRR∵V=43πR3Volume of the sphere decreases due to the decrease in its radius, henceΔVV=3ΔRR=PB⇒ΔRR=P3B