Q.

A metal bar of length L and area of cross-section A is rigidly clamped between two walls. The Young's modulus of its material is Y and the coefficient of linear expansion is α. The bar is heated so that its temperature increases by θ°C. Then the force exerted at the ends of the bar is given by

see full answer

Want to Fund your own JEE / NEET / Foundation preparation ??

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya

a

YLαθ

b

YLαθ/A

c

YAαθ

d

Yθα/LA

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The coefficient of linear expansion is defined asα= increase in length  original length × temp.rise =lLθ∴ Increase in length l=αLθ. NowY=FLAlF=YAlL=YAαLθL=YAαθHence the correct choice is (3).
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon