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Two rods of equal cross sections area are joined end the end as shown in figure. These are supported between two rigid vertical walls. Initially the rods are unstrained .

If temperature of system is increased by `DeltaT` then junction will not shift if -

A

`Y_(1)alpha_(1) = Y_(2)alpha_(2)`

B

`Y_(1)alpha_(1) l_(1) = Y_(2)alpha_(2) l_(2)`

C

`alpha_(1) = alpha_(2)`

D

`Y_(2) alpha_(1) l_(2) = Y_(1)alpha_(2) l_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Stress developed at junction are same `Y_(1)alpha_(1)l_(1)DeltaT = Y_(2)alpha_(2)l_(2)DeltaT implies Y_(1)alpha_(1)l_(1) = Y_(2)alpha_(2)l_(2)`
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