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Two rods A and B are of equal lengths. T...

Two rods `A` and `B` are of equal lengths. Their ends of kept between the same temperature and their area of cross-section are `A_(1)` and `A_(2)` and thermal conductivities `K_(1)` and `K_(2)`. The rate of heat transmission in the two rods will be equal, if

A

`K_1A_2=K_2A_1`

B

`K_1A_1=K_2A_2`

C

`K_1=K_2`

D

`K_1A_1^2=K_2A_2^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Rate of heat transmission –
`(Q/t)_1=(K_1A_1(T_1-T_2))/(l),(Q/t)_2=(K_2A_2(T_1-T_2))/(l)`
`(Q/t)_1=(Q/t)_2 implies K_1A_1=K_2A_2`
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