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

(a)PB

(b) B3p

(c) 3pB

(d)p3B

Concept Videos :-

#2 | Stress
#3 | Strain
#4 | Hooks's Law & Young's Modules
#5 | Bulk Modules & Shear Modules
#6 | Solved Problems: Set 1
#7 | Extension in a Stretched Wire
#8 | Derivation for Energy Stored in a Wire
#12 | Solved Problems: Set 2
#13 | Solved Problems: Set 3

Concept Questions :-

Stress-strain

(d)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/AV/V

      VV=PBVV=PB

Hence p is applied pressure on the object and VV is

volume strain 

Fractional decreasesin volume 

       VV=3RR               So, V=43πR3

Volume of the sphere decreases due to the decrease in its radius.

Hence VV=3RR=PBRB=P3B

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