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A cylindrical conductor of length l and ...

A cylindrical conductor of length `l` and uniform area of cross-section `A` has resistance `R`. Another conductor of length `2 l` and resistance `R` of the same material has area of cross-section :

A

`A/2`

B

`(3A)/2`

C

2A

D

3A

Text Solution

Verified by Experts

The correct Answer is:
C
Resistivity of the conductor in the first case, `P=(RA)/l" "...(i)`
Resistivity of the conductor in second case,
`p=(RA.)/(2l)" "...(ii)`
Since, both conductors are of same material and are at same temprature, so the resistivity of both the conductors will be same.
Therefore, from equations, (i) and (ii), we have :
`implies (RA)/l=(RA.)/(2l)`
`implies A.=2A`
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