A copper rod of length l0 at 0^∘ C is placed on smooth surface. The rod is heated up to 100^∘ C.

Name: Problem 23, Chapter 15: Arihant AIEEE Physics
Uploaded: 2021-09-19T14:45:18-08:00
Duration: 1 min 11 s
Channel: Ajay Singhal
Description: A copper rod of length l0 at 0^∘ C is placed on smooth surface. The rod is heated up to 100^∘ C. The longitudinal strain developed is : (α= coefficient of linear expansion) (a) (100 l0 α)/(l0+100 l0 α) (b) 100 α(c) zero (d) none of these

step 1 Hello students in this question we have a copper rod copper rod of length l not at the 0 degree

Question

A copper rod of length $l_{0}$ at $0^{\circ} \mathrm{C}$ is placed on smooth surface. The rod is heated up to $100^{\circ} \mathrm{C}$. The longitudinal strain developed is : $(\alpha=$ coefficient of linear expansion) (a) $\frac{100 l_{0} \alpha}{l_{0}+100 l_{0} \alpha}$ (b) $100 \alpha$ (c) zero (d) none of these

    A copper rod of length $l_{0}$ at $0^{\circ} \mathrm{C}$ is placed on smooth surface. The rod is heated up to $100^{\circ} \mathrm{C}$. The longitudinal strain developed is :
$(\alpha=$ coefficient of linear expansion)
(a) $\frac{100 l_{0} \alpha}{l_{0}+100 l_{0} \alpha}$
(b) $100 \alpha$
(c) zero
(d) none of these

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 15, Problem 23

Instant Answer

Solved by Expert Ajay Singhal

09/19/2021

Step 1

The rod is heated up to $100^{\circ} \mathrm{C}$. Show more…

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A copper rod of length $l_{0}$ at $0^{\circ} \mathrm{C}$ is placed on smooth surface. The rod is heated up to $100^{\circ} \mathrm{C}$. The longitudinal strain developed is : $(\alpha=$ coefficient of linear expansion) (a) $\frac{100 l_{0} \alpha}{l_{0}+100 l_{0} \alpha}$ (b) $100 \alpha$ (c) zero (d) none of these

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Key Concepts

Free Thermal Expansion

Free thermal expansion refers to the scenario where an object expands without any restriction or external force opposing its motion. In this condition, the change in length is solely determined by temperature variations and the material's coefficient of linear expansion.

Coefficient of Linear Expansion

This is a material-specific constant that indicates the fractional change in length per unit temperature change. It tells us how much a given material will expand or contract when subjected to a change in temperature.

Thermal Strain

Thermal strain is the ratio of the change in length to the original length due to a temperature change. It is calculated by multiplying the coefficient of linear expansion by the temperature change, assuming that the expansion is free and unconstrained.

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