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A 2 volt battery, a $15 Ω$ resistor and a potentiometer of 100 cm length, all are connected in series. If the resistance of potentiometer wire is $5 Ω$ then the potential gradient of the potentiometer wire is

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0.02 V/cm

0.005 V/cm

0.2 V/cm

0.05 V/cm

answer is A.

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Detailed Solution

Potential gradient $= \frac{e}{(R + R_{h} + r)} . \frac{R}{L}$

$= \frac{2}{(15 + 5 + 0)} \times \frac{5}{1} = 0 .5 \frac{V}{m} = 0 .005 \frac{V}{cm}$

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