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Two uniform metal rods one of aluminium ...

Two uniform metal rods one of aluminium of length `l_(1)` and another made of steel of length `l_(2)` and linear coefficients of expansion `alpha_(a)` and `alpha_(s)` respectively are connected to form a single rod of length `(l_(1) + l_(2))`, When the temperature of the combined rod is raised by `t^(@)C`, the length of each rod increases by the same amount then `(l_(l))/(l_(1) + l_(2))` is

A

`(alpha_(s))/(alpha_(a) + alpha_(s))`

B

`(alpha_(a))/(alpha_(a) + alpha_(s))`

C

`(alpha_(a))/(alpha_(s))`

D

`(alpha_(s))/(alpha_(a))`

Text Solution

Verified by Experts

The correct Answer is:
A
`l_(1)alpha_(a)Delta_(1) = l_(2)alpha_(s)Deltat_(2)`
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