A potentiometer wire 10 m long has a resistance of 40Ω. It is connected in series with a resistance box and a 2V storage cell. If the potential gradient along the wire is 0.1 mV/cm , the resistance in the box is
760Ω
960Ω
260Ω
1060Ω
A
260Ω
B
1060Ω
C
760Ω
D
960Ω
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Solution
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PG=0.1mVcm
⇒△Vl=0.1×10−31×10−2
△V=l×0.01=0.1
⇒0.12−0.1=40R
⇒R=760Ω
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