When the length of a wire having cross section area 10^-6 m^2 is streatched by 0.1 % then tensi

Name: Problem 856, Chapter 7: JEE Physics
Uploaded: 2021-10-22T10:03:03-08:00
Duration: 1 min 20 s
Channel: Sachin Rao
Description: When the length of a wire having cross section area 10^-6 m^2 is streatched by 0.1 % then tension in it is 100 N. Young's modulus of material wire is ………(A) 10^12( N / m^2) (B) 10^2( N / m^2) (C) 10^10( N / m^2) (D) 10^11( N / m^2)

step 1 In this problem we have given when the length of a wire having cross -section area 10 to the pow

Question

When the length of a wire having cross section area $10^{-6} \mathrm{~m}^{2}$ is streatched by $0.1 \%$ then tension in it is $100 \mathrm{~N}$. Young's modulus of material wire is $\ldots \ldots \ldots$ (A) $10^{12}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (B) $10^{2}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (C) $10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (D) $10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

   When the length of a wire having cross section area $10^{-6} \mathrm{~m}^{2}$ is streatched by $0.1 \%$ then tension in it is $100 \mathrm{~N}$. Young's modulus of material wire is $\ldots \ldots \ldots$
(A) $10^{12}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(B) $10^{2}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(C) $10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$
(D) $10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

JEE Physics

StemEZ 1st Edition

Chapter 7, Problem 856

Instant Answer

Solved by Expert Sachin Rao

10/22/2021

Step 1

1%. This means the strain, $\frac{\Delta L}{L}$, is equal to $0.1 \times 10^{-2}$. Show more…

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When the length of a wire having cross section area $10^{-6} \mathrm{~m}^{2}$ is streatched by $0.1 \%$ then tension in it is $100 \mathrm{~N}$. Young's modulus of material wire is $\ldots \ldots \ldots$ (A) $10^{12}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (B) $10^{2}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (C) $10^{10}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$ (D) $10^{11}\left(\mathrm{~N} / \mathrm{m}^{2}\right)$

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Key Concepts

Young's Modulus

Young's modulus is a fundamental property of materials that measures their stiffness. It is defined as the ratio of tensile stress to tensile strain, indicating the amount of stress needed to produce a given amount of strain in a material. This concept is essential in understanding how materials deform under load.

Tensile Stress

Tensile stress is the internal resistance offered by a material per unit area when a stretching force is applied. It is calculated by dividing the applied force by the cross-sectional area of the material, serving as a critical parameter in analyzing the behavior of materials under tension.

Tensile Strain

Tensile strain is the relative change in length of a material under the influence of an applied tensile force. It is expressed as the ratio of the change in length to the original length, providing insight into the extent of deformation that a material experiences when subjected to stress.

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