Question 329: Properties of Matter

Question

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

Accepted Answer

Bulk modulus is given by
$$B = {P \over {\left( {{{\Delta V} \over V}} \right)}} \Rightarrow {{\Delta V} \over V} = {P \over B}$$
$$3{{\Delta R} \over R} = {P \over B}$$   (here, $${{\Delta R} \over R}$$ = fractional decreases in radius)
$$ \Rightarrow {{\Delta R} \over R} = {P \over {3B}}$$

Answer

$${B \over {3p}}$$

Answer

$${{3p} \over B}$$

Answer

$${p \over {3B}}$$

Answer

$${p \over B}$$

Properties of Matter

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

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