(C) The elongation due to a tensile force is given by the formula: $\frac{\Delta l}{l} = \frac{F}{A \cdot Y}$.Given: $F = 33000 \,N$, $A = 10^{-3} \,m

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(C) The elongation due to a tensile force is given by the formula: $\frac{\Delta l}{l} = \frac{F}{A \cdot Y}$.Given: $F = 33000 \,N$, $A = 10^{-3} \,m^2$, $Y = 3 \times 10^{11} \,N/m^2$.Substituting the values: $\frac{\Delta l}{l} = \frac{33000}{10^{-3} \times 3 \times 10^{11}} = \frac{33000}{3 \times 10^8} = 11 \times 10^{-5}$.The elongation due to thermal expansion is given by: $\frac{\Delta l}{l} = \alpha \Delta T$.Given: $\alpha = 1.1 \times 10^{-5} /{ }^{\circ}C$.Equating the two elongations: $11 \times 10^{-5} = 1.1 \times 10^{-5} \times \Delta T$.Solving for $\Delta T$: $\Delta T = \frac{11 \times 10^{-5}}{1.1 \times 10^{-5}} = 10^{\circ}C$.

Class 11 Physics Mechanical Properties of Solids Young’s Modulus

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There is some change in length when a $33000 \,N$ tensile force is applied on a steel rod of area of cross-section $10^{-3} \,m^2$. The change of temperature required to produce the same elongation, if the steel rod is heated, is (The modulus of elasticity is $3 \times 10^{11} \,N/m^2$ and the coefficient of linear expansion of steel is $1.1 \times 10^{-5} /{ }^{\circ}C$). (in $^{\circ}C$)

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$A$ copper wire of length $4.0 \, m$ and area of cross-section $1.2 \, cm^2$ is stretched with a force of $4.8 \times 10^3 \, N$. If Young's modulus for copper is $1.2 \times 10^{11} \, N/m^2$,the increase in the length of the wire will be:

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Two wires $A$ and $B$ of the same length are made of the same material. The load $(F)$ vs. elongation $(x)$ graph for these two wires is shown in the figure. Which of the following statement$(s)$ is/are true?

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$A$ force $F$ is applied to a wire of length $L$ and radius $r$,resulting in an extension $l$. What will be the extension in a wire of length $2L$ and radius $2r$ when a force $2F$ is applied?

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$A$ wire of length $L$ and radius $r$ is rigidly fixed at one end. On stretching the other end of the wire with a force $F$,the increase in its length is $l$. If another wire of same material but of length $2L$ and radius $2r$ is stretched with a force of $2F$,the increase in its length will be

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Two different wires made with the same material have their radii in the ratio $1:2$. Their lengths are also in the ratio $1:2$. If the extensions produced are equal when subjected to different loads,find the ratio of the loads applied.

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$A$ copper wire of length $4.0 \, m$ and area of cross-section $1.2 \, cm^2$ is stretched with a force of $4.8 \times 10^3 \, N$. If Young's modulus for copper is $1.2 \times 10^{11} \, N/m^2$,the increase in the length of the wire will be:

Two wires $A$ and $B$ of the same length are made of the same material. The load $(F)$ vs. elongation $(x)$ graph for these two wires is shown in the figure. Which of the following statement$(s)$ is/are true?

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$A$ wire of length $L$ and radius $r$ is rigidly fixed at one end. On stretching the other end of the wire with a force $F$,the increase in its length is $l$. If another wire of same material but of length $2L$ and radius $2r$ is stretched with a force of $2F$,the increase in its length will be

Two different wires made with the same material have their radii in the ratio $1:2$. Their lengths are also in the ratio $1:2$. If the extensions produced are equal when subjected to different loads,find the ratio of the loads applied.

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