Young's modulus of the material of a wire of length $L$ and radius $r$ is $Y \mathrm{Nm}^{-2}$. If the length is reduced to $\frac{L}{2}$ and radius to $\frac{r}{2}$, the Young's modulus will be

NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF SOLIDS

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Understanding +4 | -1

Young's modulus of the material of a wire of length

L

and radius

r

Y \mathrm{Nm}^{-2}

. If the length is reduced to

\frac{L}{2}

and radius to

\frac{r}{2}

, the Young's modulus will be

View answer and explanation

Correct option: A

Y

Option A (

Y

) is correct because Young's modulus is a material property and does not depend on the dimensions of the wire.

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1\,m{m^2}

N/{m^2}

\left[ {g = 10\,m{s^{ - 2}}\,} \right]\,

\mathrm{1 mm}

2\,\,m

1\,\,cm

0.8

Y

\mathrm{K}

\eta