Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and subjected to the same force will be _______cm. Option: 1 1 Option: 2</st

A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and subjected to the same force will be _______cm.
Option: 1 1
Option: 2 2
Option: 3 3
Option: 4 4

Answers (1)

best_answer

\begin{array}{l} \Delta \ell=\frac{\mathrm{F}}{\mathrm{Y} . \mathrm{A}} \cdot \\ \\ \Delta \ell=\frac{\mathrm{F} \ell}{\mathrm{Y} . \pi \mathrm{r}^{2}} \\ \\ \Delta \ell \propto \frac{\ell}{\mathrm{r}^{2}} \\ \\ \begin{array}{l} \frac{\Delta \ell_{2}}{\Delta \ell_{1}}=\left(\frac{\ell_{2}}{\ell_{1}}\right)\left(\frac{\mathrm{r}_{1}}{\mathrm{r}_{2}}\right)^{2} =(2)\left(\frac{1}{2}\right)^{2}=\frac{1}{2} \\ \\ \Rightarrow \Delta \mathrm{l}_{2}=\frac{\Delta l_{1}}{2} =\frac{0.04}{2}=0.02 \ m= 2 \ cm \end{array} \\ \end{array}

Posted by

avinash.dongre

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

JCECEB 2025 registration for BTech admission through JEE Main rank begins jceceb.jharkhand.gov.in
anam-khan

JEE Main 2025: BTech CSE cut-offs for PwD candidates at NITs make entry easy; top institutes still selective
anam-khan

73 or 99 percentile? JEE Main result questioned, J-K candidate says, ‘Don’t create hype’

Latest Question