Browse by Stream
QnA
Home
Search for Exam, Articles, Questions
QnA
get app
Go To Your Study Dashboard
  1. Home
  2. Solve! - Properties of Solids and Liquids - JEE Main
# Engineering

If S is  stress and  Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is

  • Option 1)

    2Y/S

  • Option 2)

    S/2Y

  • Option 3)

    2S^{2}Y

  • Option 4)

    \frac{S^{2}}{2Y}

 

Answers (1)
P perimeter

As we learnt in

Work Done in Stretching Wire / Elastic P.E. -

=\frac{1}{2}\frac{YAl^{2}}{L}=\frac{1}{2}Fl

- wherein

L - Length of wire

l - increase in length

 

 E=\frac{1}{2}\times stress\times strain

Y=\frac{stress}{strain}

\Rightarrow\ \; Strain = \frac{stress}{Y}

E=\frac{1}{2} \times stress\times \frac{stress}{Y}

\Rightarrow\ \; E=\frac{1}{2}\frac{s^{2}}{Y}

Correct option is 4.

 


Option 1)

2Y/S

This is an incorrect option.

Option 2)

S/2Y

This is an incorrect option.

Option 3)

2S^{2}Y

This is an incorrect option.

Option 4)

\frac{S^{2}}{2Y}

This is the correct option.

Similar Questions

Preparation Products

Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main May 2021

Unlimited Chapter Wise Tests, Unlimited Subject Wise Tests, Unlimited Full Mock Tests, Get Personalized Performance Analysis Report,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main May 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 14999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
Start Now
 
Exams
Articles
Questions