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Two rods of different materials having c...

Two rods of different materials having coefficient of thermal expansion `alpha_(1), alpha_(2)` and young's modulii `Y_(1) ,Y_(2)` respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If `alpha_(1) :alpha_(2)=2 : 3`, the thermal stresses developed in the two rods are equal provided `Y_(1) : Y_(2)` is equal to

A

`41:9`

B

`3:2`

C

`9:4`

D

`2:2`

Text Solution

Verified by Experts

The correct Answer is:
B
Thermal stress `= Y alpha Delta t, Y_(1) alpha_(1) = Y_(2) alpha_(2)`
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