Student Login

Home›Chapters›Units, Dimensions and Measurement PYQs›Errors in Measurement›Question 76

JEE Main 2022 (25 Jul, Shift 2) · Errors in Measurement

Errors in Measurement question from JEE Main 2022 (25 Jul, Shift 2)

Q76JEE Main 2022 · 25 JUL · SHIFT 2Medium

Errors in Measurement

The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are $1\%,\ 2\%$ and $3\%$ respectively. The maximum percentage error in the detection of the dissipated heat will be:

Show answer and solution

Answer: (d)

Joule heating: $H = I^2 R t$ .
$\frac{\Delta H}{H} = 2\frac{\Delta I}{I} + \frac{\Delta R}{R} + \frac{\Delta t}{t}$
$= 2(2\%) + 1\% + 3\% = 8\%$
So the answer is (d) 8.

Report a mistake

More questions on Errors in Measurement

For z = a² x³ y1/2, where 'a' is a constant. If percentage error in measurement of 'x'…JEE Main 2022 (25 Jun, Shift 2)
In an experiment to find acceleration due to gravity (g) using simple pendulum, time…JEE Main 2022 (28 Jul, Shift 2)
If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time…JEE Main 2021 (26 Aug, Shift 2)
A physical quantity 'y' is represented by the formula y = m² r⁻⁴ gx l-3/2 If the…JEE Main 2021 (27 Jul, Shift 2)
The radius of a sphere is measured to be (7.50 ± 0.85) cm. Suppose the percentage error…JEE Main 2021 (18 Mar, Shift 2)
The resistance R = V/I, where V = (50 ± 2)V and I = (20 ± 0.2)A. The percentage error in…JEE Main 2021 (16 Mar, Shift 1)
A student determined Young's Modulus of elasticity using the formula Y = MgL³4bd³δ. The…JEE Main 2021 (1 Sep, Shift 2)
Three students S1, S2 and S3 perform an experiment for determining the acceleration due…JEE Main 2021 (22 Jul, Shift 2)