Download the app

Questions  

A steel wire of length 4.7 m and cross - sectional area 3×10–5m2 stretches by the same amount as a copper wire of length 3.5m and cross-sectional area of 4×10–5m2 under a given load. Then the ratio of the Young's modulus of steel to that of copper

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a

1.8

b

0.9

c

3.6

d

0.45

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is A

\large {\ell _{st}} = 4.7m\,\,{\ell _{cu}} = 3.5m;\;{A_{st}} = 3 \times {10^{ - 5}}{m^2}
\large {A_{cu}} = 4 \times {10^{ - 5}}{m^2};\frac{{{y_{st}}}}{{{y_{cu}}}} = ?
F is same e is same \large y = \frac{F}{A} \times \frac{\ell }{e} \Rightarrow y\alpha \frac{\ell }{A}
\large \frac{{{y_{st}}}}{{{y_{cu}}}} = \frac{{{\ell _{st}} \times {A_{cu}}}}{{{\ell _{cu}} \times {A_{st}}}} = \frac{{4.7}}{{3.5}} \times \frac{{4 \times {{10}^{ - 5}}}}{{3 \times {{10}^{ - 5}}}} = \frac{{188}}{{105}} = 1.8

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace



Practice More Questions

Easy Questions

Moderate Questions

Difficult Questions


Download the app

phone icon
whats app icon