A cube is subjected to a uniform volume.compression, if the side of the cube decreases by 1% the bulk strain is

Options

A. 0.01
B. 0.06
C. 0.02
D. 0.03

Answer

D

Explanation

Initial volume of cube `=a^(3)`
Side of cube decrease by 1%
`V=a^(3)`
`logV = loga^(3)`
On diffenretiating on both sides, we get,
`1/V dV = 3 [(da)/a]`
Bulk strain,`dV = 3xx 1/100 = 0.03`