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A Potentionmeter wire of 10 m length and...

A Potentionmeter wire of 10 m length and having 10 ohm resistance, emf 2 volts and a rheostate. If thepotential gradient is 1 micro volt/mm, the valume of resistance in rehostat in ohms will be :

A

1.99

B

19.9

C

199

D

1990

Text Solution

Verified by Experts

The correct Answer is:
D
`d=10m, R=10Omega`
`E=2"volts,"(dv)/(dl)=1mu"v/m"`
`"Across wire potential drop, "(dv)/(dl)xxl=1xx10^(-3)xx10=0.01"volts"`
`i=0.01/10=0.001=E/(R+R)`(R'=resistance of rheostat)
`R'=E/0.001-R=2/0.001-10=2000-10=1990Omega`
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