Browse by Stream
QnA
Home
Search for Exam, Articles, Questions
QnA
get app
Go To Your Study Dashboard
  1. Home
  2. Tell me? A uniform cylindrical rod of length L and radius r, is made from a material whose Young's modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F,
# Engineering

A uniform cylindrical rod of length L and radius r, is made from a material whose Young's modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to :

 

  • Option 1)

    9F/(\pi r^{2}YT)

     

  • Option 2)

    6F/(\pi r^{2}YT)

  • Option 3)

    3F/(\pi r^{2}YT)

  • Option 4)

    F/(3\pi r^{2}YT)

 

Answers (1)
S solutionqc

 

Coefficient of Linear Expansion -

\alpha=\frac{\Delta L}{L_{0}\Delta T}

- wherein

Unit of \alpha is C-1 or  K-1

 

 

Y\alpha T=\frac{F}{\pi r^{2}}

\alpha =\frac{F}{\pi r^{2}YT}

\wp =3\alpha

\wp =\frac{3F}{\pi r^{2}YT}


Option 1)

9F/(\pi r^{2}YT)

 

Option 2)

6F/(\pi r^{2}YT)

Option 3)

3F/(\pi r^{2}YT)

Option 4)

F/(3\pi r^{2}YT)

Similar Questions

Preparation Products

Knockout JEE Main April 2021 (One Month)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 14000/- ₹ 6999/-
Buy Now
Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Test Series JEE Main April 2021

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 6999/- ₹ 4999/-
Buy Now
Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
Start Now
 
Exams
Articles
Questions