A copper bar of length L and area of cross-section A is placed in a chamber at atmospheric pressure. If the chamber is evacuated, then the percentage change in its volume will be (Given, compressibility of copper is `8 xx 10^(12) m^(2) N^(-1)` and 1 atm `= 10^(5) Nm^(-2)`)

Options

A. `8 xx 10^(-7)`
B. `8 xx 10^(-5)`
C. `1.25 xx 10^(-4)`
D. `1.25 xx 10^(-5)`

Answer

b

Explanation

As `K = (1)/(B) = (Delta V//V)/(Delta p)` or `(Delta V)/(V) = Delta p [(1)/(k)]`
or `(Delta)/(V) xx 100 = 10^(5) xx 8 xx 10^(-12) xx 100 = 8 xx 10^(-5)`