Student Login

Home›Chapters›Units, Dimensions and Measurement PYQs›Errors in Measurement›Question 24

MHT CET 2026 (18 Apr, Shift 2) · Errors in Measurement

Errors in Measurement question from MHT CET 2026 (18 Apr, Shift 2)

Q24MHT CET 2026 · 18 APR · SHIFT 2Medium

Errors in Measurement

The maximum error in the measurement of the density and mass of the uniform cube are 8% and 2% respectively. Hence, the maximum error in the measurement of length will be

Show answer and solution

Answer: (b)

$\rho = \frac{M}{L^3}$ , so $\frac{\Delta\rho}{\rho} = \frac{\Delta M}{M} + 3\frac{\Delta L}{L}$
$8\% = 2\% + 3\frac{\Delta L}{L} \Rightarrow \frac{\Delta L}{L} = 2\%$
So the working gives (a) $2\%$ .

Report a mistake

More questions on Errors in Measurement

A force 'F' is applied on a square plate of side 'L'. If the percentage error in…MHT CET 2026 (17 Apr, Shift 2)
The length of rod is measured by meter scale having least count 0.1 cm and diameter is…MHT CET 2026 (15 Apr, Shift 1)
The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its…MHT CET 2026 (13 Apr, Shift 2)
The period of oscillation of a simple pendulum is T = 2π(L/g)1/2. Measured value of 'L'…MHT CET 2026 (13 Apr, Shift 1)
The period of oscillation of a simple pendulum is given by T = 2π√(l/g) where l is about…MHT CET 2026 (11 Apr, Shift 1)
The density ρ of a uniform cylinder is determined by measuring its mass m, length l and…JEE Main 2026 (6 Apr, Shift 1)
The speed of a longitudinal wave in a metallic bar is 400 m/s. If the density and Young's…JEE Main 2026 (28 Jan, Shift 2)
A spherical body of radius r and density σ falls freely through a viscous liquid having…JEE Main 2026 (21 Jan, Shift 2)