JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as \(10\text{ V}\) and \(5\text{ A}\), respectively. The least counts of voltmeter and ammeter are \(500\text{ mV}\) and \(200\text{ mA}\), respectively. The estimated error in the resistance measurement is _______ \(\Omega\).
- A \(0.25\)
- B \(2\)
- C \(2.5\)
- D \(0.18\)
Answer & Solution
Correct Answer
(D) \(0.18\)
Step-by-step Solution
Detailed explanation
Given \(V = 10\text{ V}\) and \(I = 5\text{ A}\) Least count of voltmeter, \(\Delta V = 500\text{ mV} = 0.5\text{ V}\) Least count of ammeter, \(\Delta I = 200\text{ mA} = 0.2\text{ A}\) Resistance is given by Ohm's law: \(R = \dfrac{V}{I} = \dfrac{10}{5} = 2\text{ }\Omega\) The…
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