The temperature of a wire of length $1{\rm{ }}m$ and area of cross section $1\,\,c{m^2}$ is increased from ${0^0}{\rm{C}}\,\,{\rm{to}}\,\,{100^0}C$. If the rod is not allowed to increased in length, the force required will be $(\alpha = {10^{ - 5}}{/^0}C$ and $Y = {10^{11}}{\rm{N}}/{{\rm{m}}^2})$

NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF SOLIDS

1 Medium

1 of 1

Application +4 | -1

The temperature of a wire of length

1\mathrm{ }m

and area of cross section

1\,\,c{m^2}

is increased from

{0^0}\mathrm{C}\,\,\mathrm{to}\,\,{100^0}C

. If the rod is not allowed to increased in length, the force required will be

(\alpha = {10^{ - 5}}{/^0}C

and

Y = {10^{11}}\mathrm{N}/{\mathrm{m}^2})

View answer and explanation

Correct option: B

{10^4}\,\mathrm{N}

Option B (

{10^4}\,\mathrm{N}

) is correct because the force required is calculated using the formula

F = YA\alpha \Delta T

, where Y is Young's modulus, A is the area,

\alpha

is the coefficient of linear expansion, and

\Delta T

is the change in temperature.