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Q.

The actual value of resistance ‘R’ , shown in the figure is 40Ω. This is measured in an experiment as shown using the standard formula R=VI , where V and I are the readings of the voltmeter and ammeter respectively. If the measured value of R is 5 % less, then the internal resistance of the voltmeter is

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a

350Ω

b

570Ω

c

35Ω

d

760Ω

answer is D.

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Detailed Solution

Resistor and voltmeter are in parallelReff=RRVR+RV It's given that Reff=0.95 R  [5% less than R] ⇒0.95R=RRVR+RV⇒0.95(40)=(40)RV(40)+RV ⇒38=(40)RV(40)+RV ⇒RV=760Ω
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The actual value of resistance ‘R’ , shown in the figure is 40Ω. This is measured in an experiment as shown using the standard formula R=VI , where V and I are the readings of the voltmeter and ammeter respectively. If the measured value of R is 5 % less, then the internal resistance of the voltmeter is