As shown in the figure, in an experiment to determine Young’s modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of with the load axis. [2023]

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Solution

Q.
As shown in the figure, in an experiment to determine Young’s modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of $45 °$ with the load axis.

The length of the wire is 62.8 cm and its diameter is 4 mm. The Young’s modulus is found to be $x \times 10^{4} {Nm}^{- 2}$ . The value of $' x'$ is _______. [2023]

Ans.
(5)

$Slope, \tan θ = 1 = \frac{e}{F}$

$Y = \frac{F}{A} \frac{l}{e} = \frac{l}{A} \times 1 = \frac{62.8 \times 10^{- 2}}{π \times 4 \times 10^{- 6}} = \frac{62.8}{3.14 \times 4} \times 10^{4} = 5 \times 10^{4} {N/m}^{2}$

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