MHT-CET

Mechanical Properties of Solids question bank (Physics)

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Q1.

$A$ wire of length $L$ and area of cross-section $A$ is made of a material with Young's modulus $Y$. It is stretched by an amount $x$. The work done in stretching the wire is:

(A)

$\frac{Y x^2 A}{2 L}$

(B)

$\frac{2 Y x^2 A}{L}$

(C)

$\frac{Y x A}{2 L}$

(D)

$\frac{Y x^2 A}{2}$

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Q2.

$A$ steel ring of radius '$r$' is to be fitted over a wooden disc of radius '$R$' $(R \gt r)$. The force required to expand the ring so that it fits over the disc is ($Y =$ Young's modulus of steel,$A =$ area of cross-section of the wire).

(A)

$YA\left(\frac{R-r}{r}\right)$

(B)

$YA\left(\frac{r}{R-r}\right)$

(C)

$YA \frac{r}{R}$

(D)

$\left(\frac{YAR}{r}\right)$

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