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Two rods of equal cross sections area ar...

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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