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A potentiometer wire has length 4 m and ...

A potentiometer wire has length 4 m and resistance `6Omega`. The resistance that must be connected in series with the wire and a battery of emf 4V so as to get a potential gradient 5 mV per cm on the wire is

A

`6Omega`

B

`12Omega`

C

`18Omega`

D

`24Omega`

Text Solution

Verified by Experts

The correct Answer is:
A

`L_(AB)=4mR_(AB)=6OmegaE=4V`
`x=(E/(E+R_(s)))R/Limplies(5xx10^(-3))/(10^(-2))=4/(R+6)6/4`
`impliesR=6Omega`
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