(A) Given: Force $F = mg = 200 \, kg \times 9.8 \, m/s^2 \approx 2000 \, N$ (taking $g = 10 \, m/s^2$ for standard calculation),Original length $L = 6

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(A) Given: Force $F = mg = 200 \, kg \times 9.8 \, m/s^2 \approx 2000 \, N$ (taking $g = 10 \, m/s^2$ for standard calculation),Original length $L = 600.5 \, cm - 0.5 \, cm = 600 \, cm = 6 \, m$,Change in length $\Delta L = 0.5 \, cm = 0.5 \times 10^{-2} \, m$,Area $A = 1 \, mm^2 = 10^{-6} \, m^2$.Using the formula for Young's modulus $Y = \frac{F \cdot L}{A \cdot \Delta L}$:$Y = \frac{2000 \times 6}{10^{-6} \times 0.5 \times 10^{-2}}$$Y = \frac{12000}{0.5 \times 10^{-8}} = 24000 \times 10^8 = 2.4 \times 10^{12} \, N/m^2$.Considering the provided options,the closest value is $2.35 \times 10^{12} \, N/m^2$.

Class 11 Physics Mechanical Properties of Solids Young’s Modulus

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$A$ weight of $200 \, kg$ is suspended by a vertical wire of length $600.5 \, cm$. The area of cross-section of the wire is $1 \, mm^2$. When the load is removed,the wire contracts by $0.5 \, cm$. The Young's modulus of the material of the wire will be:

A
$2.35 \times 10^{12} \, N/m^2$
B
$1.35 \times 10^{10} \, N/m^2$
C
$13.5 \times 10^{11} \, N/m^2$
D
$23.5 \times 10^9 \, N/m^2$

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Young’s Modulus

Two exactly similar wires of steel and copper are stretched by equal forces. If the difference in their elongations is $0.5 \ cm$,find the elongation $(l)$ of each wire. Given: ${Y_s} = 2.0 \times {10^{11}} \ N/m^2$ and ${Y_c} = 1.2 \times {10^{11}} \ N/m^2$.

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$A$ wire is suspended from a rigid support and a weight $W$ is attached to its free end,causing an extension of $1.0 \, mm$. If the same wire is passed over a pulley and a weight $W$ is attached to each of its two ends,what will be the extension in the wire in $mm$?

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Evaluate the following statements:
$(a)$ Young's modulus of a rigid body is .....
$(b)$ $A$ wire increases by $10^{-6}$ times its original length when a stress of $10^8 \ N/m^2$ is applied to it. Calculate its Young's modulus.
$(c)$ The value of Poisson's ratio for steel is ......

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$A$ weight of $200 \, kg$ is suspended by a vertical wire of length $600.5 \, cm$. The area of cross-section of the wire is $1 \, mm^2$. When the load is removed,the wire contracts by $0.5 \, cm$. The Young's modulus of the material of the wire will be:

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Two exactly similar wires of steel and copper are stretched by equal forces. If the difference in their elongations is $0.5 \ cm$,find the elongation $(l)$ of each wire. Given: ${Y_s} = 2.0 \times {10^{11}} \ N/m^2$ and ${Y_c} = 1.2 \times {10^{11}} \ N/m^2$.

$A$ wire is suspended from a rigid support and a weight $W$ is attached to its free end,causing an extension of $1.0 \, mm$. If the same wire is passed over a pulley and a weight $W$ is attached to each of its two ends,what will be the extension in the wire in $mm$?

$A$ steel rod has a radius of $10 \,mm$ and a length of $1 \,m$. $A$ $80 \,kN$ force stretches it along its length. If the Young's modulus of the rod is $2 \times 10^{11} \,N/m^2$, then the change in length is

Evaluate the following statements:$(a)$ Young's modulus of a rigid body is .....$(b)$ $A$ wire increases by $10^{-6}$ times its original length when a stress of $10^8 \ N/m^2$ is applied to it. Calculate its Young's modulus.$(c)$ The value of Poisson's ratio for steel is ......

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Evaluate the following statements:
$(a)$ Young's modulus of a rigid body is .....
$(b)$ $A$ wire increases by $10^{-6}$ times its original length when a stress of $10^8 \ N/m^2$ is applied to it. Calculate its Young's modulus.
$(c)$ The value of Poisson's ratio for steel is ......