Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A uniform rod of mass m, length L, area of cross-section A and Young's modulus Y hangs from the ceiling. Its elong

A uniform rod of mass m, length L, area of cross-section A and Young's modulus Y hangs from the ceiling. Its elongation under its own weight will be-

Option: 1

Zero


Option: 2

\frac{mgL}{2AY}


Option: 3

\frac{mgL}{AY}


Option: 4

\frac{2mgL}{AY}


Answers (1)

Tension at distance x from the bottom.

\begin{aligned} &\begin{aligned} T & =\left(\frac{m g}{L}\right) \cdot x d t \\ d l & =\frac{T \cdot d x}{A Y} \end{aligned}\\ &\begin{aligned} \therefore \quad \Delta l & =\int_0^L d l \\ \Delta l & =\frac{m g L}{2 A Y} \end{aligned} \end{aligned}

Posted by

Kshitij

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 session 1 results, final answer key today; what is NTA score?
anam-khan

JEE Mains 2026 Result LIVE: NTA session 1 results likely tonight for over 13 lakh; cut-offs, college predictor
anam-khan

JEE Mains 2026 LIVE: Session 1 final answer key today at jeemain.nta.nic.in; calculate raw scores

Latest Question