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When the two rods having expansion coffi...

When the two rods having expansion cofficient `alpha_(1), alpha_(2) (alpha_(2) gt alpha_(1))` and width d are heated then the radius of the rod after expansion.

`R=(d)/((alpha_(2)-alpha_(1))Delta T)`

Text Solution

Verified by Experts

`l_(2) =l (1+ alpha_(2) Delta t) =(R+d) theta`
`rArr l_(1) =l (1+ alpha_(1) Delta t) =R theta`
`(R+d)/(R ) =((1+alpha_(2) Delta T))/((1+ alpha_(1) Delta T))` from binomial theorem
`R=(d)/((alpha_(2) -alpha_(1)) Delta T)`
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