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Two wires of the same material and equal...

Two wires of the same material and equal length are joined in parallel combination. If one of them has half the thickness of the other and the thinner wire has a resistance of 8 ohms , the resistance of the combination is equal to

A

`5/8` ohm

B

`8/5` ohm

C

`3/8` ohm

D

`8/3` ohm

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(1) = I_(2) = I, rho_(1) = rho_(2)= rho, A_(1) = A, A_(2) = 2A`
`R_(1)/R_(2) =(4A)/A rArr R_(1) = 4R_(2)`
`R_(1) = 8 Omega, R_(2) = 2Omega`
`R_(eq) = (8 xx 2)/10 = 8/5 Omega`
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