The pressure that has to be applied to the ends of a steel wire of length $10cm$ to keep its length constant when its temperature is raised by $100 ° C$ is :
(For steel, Young's modulus is $2 \times {10}^{11}N{m}^{- 2}$ and coefficient of thermal expansion is $1 . 1 \times {10}^{- 5}{K}^{- 1}$ )

Question

The pressure that has to be applied to the ends of a steel wire of length

10cm

to keep its length constant when its temperature is raised by

100 ° C

is :
(For steel, Young's modulus is

2 \times {10}^{11}N{m}^{- 2}

and coefficient of thermal expansion is

1 . 1 \times {10}^{- 5}{K}^{- 1}

)

Quantrex Academy · Accepted Answer

Correct answer: A. 2 .2 × 10 ^ 8 Pa

Young's modulus, Y = (F)/(A)(L)/( ) ∴ (F)/(A) = Y( )/(L) = Yα ∴ P = 2 × 10 ^ 11 × 1 .1 × 10 ^ - 5 × 10 ^ 2 ∴ P = 2 . 2 × 10 ^ 8 Pa

The pressure that has to be applied to the ends of a steel wire of...