The pressure to be applied to the ends of a steel cylinder to keep its length constant upon raising its temperature by `100^(@)C` is (thermal expansion coefficient, `alpha = 11 xx 10^(-6)//K`, Young's modulus = 200 GPa)

Options

A. `0.22 xx 10^(9)Pa`
B. `5.5 xx 10^(-6)Pa`
C. 0.22 Pa
D. 55Pa

Answer

A

Explanation

Pressure= Thermal stress
= Young.s modulus `xx` Thermal strain
`= Y alpha Delta T`
`=200 xx 10^(9) xx 11 xx 10^(-6) xx 100`
`=22 xx 10^(7) = 0.22 xx 10^(9) Pa`