Q.

Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be (α1, α2 = linear expansion coefficientA1, A2 = Area of rodsY1, Y2 = Young modulus)

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

A1A2 = α1Y1α2Y2

b

A1A2 = L1α1Y1L2α2Y2

c

A1A2 = L2α2Y2L1α1Y1

d

A1A2 = α2Y2α1Y1

answer is D.

(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

Y = StressStrain = TA∆llT = Y.∆llA =Y . Aα∆TIn both the rods tension will be same soT1 = T2, Hence Y1A1α1∆T = Y2A2α2∆TA1A2 = Y2α2Y1α1
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon
Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be (α1, α2 = linear expansion coefficientA1, A2 = Area of rodsY1, Y2 = Young modulus)