Student Login

Home›Chapters›Units, Dimensions and Measurement PYQs›Errors in Measurement›Question 33

JEE Main 2026 (5 Apr, Shift 2) · Errors in Measurement

Errors in Measurement question from JEE Main 2026 (5 Apr, Shift 2)

Q33JEE Main 2026 · 5 APR · SHIFT 2Difficult

Errors in 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 V and 5 A, respectively. The least counts of voltmeter and ammeter are 500 mV and 200 mA, respectively. The estimated error in the resistance measurement is $\underline{\qquad}\ \Omega$

Show answer and solution

Answer: (d)

$R = \frac{V}{I} = \frac{10}{5} = 2\ \Omega$
$\frac{\Delta R}{R} = \frac{\Delta V}{V} + \frac{\Delta I}{I} = \frac{0.5}{10} + \frac{0.2}{5} = 0.05 + 0.04 = 0.09$
$\Delta R = 0.09 \times 2 = 0.18\ \Omega$
So the answer is (d) $0.18\ \Omega$ .

Report a mistake

More questions on Errors in Measurement

The diameter of a wire measured by a screw gauge of least count 0.001 cm is 0.08 cm. The…JEE Main 2026 (2 Apr, Shift 1)
The time period of a simple harmonic oscillator is T = 2π√(m/k). Measured value of mass…JEE Main 2026 (28 Jan, Shift 2)
Which of the following comes under the category of random errors?MHT CET 2025 (23 Apr, Shift 1)
The initial and final temperatures of water as recorded by an observer are (38.6 ± 0.2)…MHT CET 2025 (19 Apr, Shift 2)
In an experiment four quantities p, q, r and s are measured with percentage 3%, 2%, 3%…MHT CET 2025 (26 Apr, Shift 2)
The error in the measurement of length and mass of a cube is 3% and 4% respectively. The…MHT CET 2025 (26 Apr, Shift 1)
A wire has a mass 0.3 ± 0.003 gram, radius 0.5 ± 0.005 mm and length 6 ± 0.06 cm. The…MHT CET 2025 (25 Apr, Shift 1)
The percentage error in the measurement of mass and speed of a particular body is 3% and…MHT CET 2025 (22 Apr, Shift 2)