Significant Figures & Error Analysis: JEE Questions & Solutions

In an experiment the values of two spring constants were measured as k₁ = (10 ± 0.2) N/m and k₂ = (20 ± 0.3) N/m. If these springs are…

Keeping the significant figures in view, the sum of the physical quantities 52.01 m, 153.2 m and 0.123 m is:

A spherical body of radius r and density σ falls freely through a viscous liquid having density ρ and viscosity η and attains a terminal…

Four persons measure the length of a rod as 20.00 cm, 19.75 cm, 17.01 cm and 18.25 cm. The relative error in the measurement of average…

The time period of a simple harmonic oscillator is T=2π√(m/k). Measured value of mass m of the object is 10 g with an accuracy of 10 mg and…

In an experiment, a set of readings are obtained as follows: 1.24~mm, 1.25~mm, 1.23~mm, 1.21~mm. The expected least count of the instrument…

The maximum percentage error in the measurement of the density of a wire is: Given, mass of wire = (0.60 ± 0.003) g, radius of wire = (0.50…

The energy of a system is given as E(t) = α³ e^(-β t), where t is the time and β = 0.3 s⁻¹. The errors in the measurement of α and t are…

For an experimental expression y = (32.3 × 1125)/27.4, where all the digits are significant. Then to report the value of y, we should write:

A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm, respectively. Using a specially designed screw gauge which has…

A bar magnet has total length 2l = 20 units and the field point P is at a distance d = 10 units from the centre of the magnet. If the…

A physical quantity Q is related to four observables a, b, c, and d as follows: Q = ab⁴/cd where a = (60 ± 3) Pa; b = (20 ± 0.1) m; c = (40…

A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic operations with…

A physical quantity C is related to four other quantities p, q, r and s as follows C = pq²/(r³ √s) The percentage errors in the measurement…

A quantity Q is formulated as Q = X⁻² Y^(3/2) Z^(-2/5). X, Y, and Z are independent parameters which have fractional errors of 0.1, 0.2,…

The resistance R = V/I where V = (200± 5) V and I = (20± 0.2) A. The percentage error in the measurement of R is:

A physical quantity Q is found to depend on quantities a, b, c by the relation Q = a⁴b³/c². The percentage error in a, b, c are 3%, 4%, and…

If the percentage errors in measuring the length and the diameter of a wire are 0.1% each, the percentage error in measuring its resistance…

In an experiment measuring the refractive index of a glass slab using a travelling microscope, a student measures the real thickness of the…

Two resistances are given as R₁ = (10 ± 0.5)Ω and R₂ = (15 ± 0.5)Ω. The percentage error in the measurement of equivalent resistance when…

A 2 meter long scale with least count of 0.2 cm is used to measure the locations of objects on an optical bench. While measuring the focal…

A cylindrical wire of mass (0.4 ± 0.01) g has length (8 ± 0.04) cm and radius (6 ± 0.03) mm. The maximum error in its density will be:

A physical quantity P is given as P = a²b³/c√d. The percentage error in the measurement of a, b, c, and d are 1%, 2%, 3%, and 4%…

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: A spherical body of…