A voltmeter having a resistance of 998 ohms is connected to…

Physics Current Electricity Different Measuring Instruments Single Correct MCQ

Published on: September 12, 2026

A voltmeter having a resistance of 998 ohms is connected to a cell of e.m.f. 2 volt and internal resistance 2 ohm. The error in the measurement of e.m.f will be

$4 \times 10^{-1}$ volt

$2 \times 10^{-3}$ volt

$4 \times 10^{-3}$ volt

$2 \times 10^{-1}$ volt

Text Solution

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The correct answer is:

Error in measurement = Actual value – Measured value

Actual value = 2V

$i = \frac{2}{998 + 2} = \frac{1}{500} A$

Since $E = V + ir$ ⇒ ⇒ $V = E - ir = 2 - \frac{1}{500} \times 2 = \frac{998}{500} \, V$

∴ ∴ Measured value $= \frac{998}{500} V$

⇒ ⇒ Error $= 2 - \frac{998}{500} = 4 \times 10^{-3} \text{ volt}$

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