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

p/B

B/2p

3p/B

p/3B

Solution

p/3B

straight B space equals space fraction numerator straight p over denominator open parentheses begin display style fraction numerator increment straight V over denominator straight V end fraction end style close parentheses end fraction fraction numerator increment straight V over denominator straight V end fraction space equals straight p over straight B 3 fraction numerator increment straight r over denominator straight r end fraction space equals space straight p over straight B fraction numerator increment straight r over denominator straight r end fraction space equals space fraction numerator straight p over denominator 3 straight B end fraction

Some More Questions From Mechanical Properties of Solids Chapter

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