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 falls freely through a viscous liquid having density and viscosity and attains a terminal velocity…

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=2 mk. Measured value of mass m has an accuracy of 10 and time for 50 oscillations of…

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…

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) = e^- t, where t is the time and = 0.3 s^-1. The errors in the measurement of and t are 1.2 and…

For an experimental expression y = 32.3 112527.4, 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 = ab^4cd^2 Where: - a = (60 3) Pa, - b = (20 0.1) m, - c…

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 = pq^2r^3 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, and…

The resistance R = VI 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 = a^4b^3c^2. 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 traveling microscope, the real thickness of the slab is measured as…

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

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 = a^2b^3c d. The percentage error in the measurement of a, b, c, and d are 1, 2, 3, and 4 respectively.…

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…