Propagation of Errors

JEE Main Physics · Errors, Significant Figures and Measuring Instruments · 31 questions, latest first

• The percentage error in the calculated volume of a sphere, if there is 2\% error in its diameter measurement, is ____.20266 April, Shift 2 · Q26
• The density ρ of a uniform cylinder is determined by measuring its mass m, length l and diameter d. The measured values of m, l…20266 April, Shift 1 · Q26
• In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10…20265 April, Shift 2 · Q27
• The diameter of a wire measured by a screw gauge of least count 0.001 cm is 0.08 cm. The length measured by a scale of least…20262 April, Shift 1 · Q27
• The time period of a simple harmonic oscillator is T=2 π √(k/m). Measured value of mass (m) of the object is 10 g with an…202628 January, Shift 2 · Q27
• To compare EMF of two cells using potentiometer the balancing lengths obtained are 200 cm and 150 cm. The least count of scale is…202623 January, Shift 2 · Q26
• A spherical body of radius r and density σ falls freely through a viscous liquid having density ρ and viscosity η and attains a…202621 January, Shift 2 · Q27
• In an experiment the values of two spring constants were measured as k_1=(10 ± 0.2) N / m and k_2=(20 ± 0.3) N / m. If these…202621 January, Shift 1 · Q45
• A quantity Q is formulated as X^-2 Y^+3/2 Z^-2/5. X, Y and Z are independent parameters which have fractional errors of 0.1, 0.2…20258 April, Shift 2 · Q26
• A physical quantity C is related to four other quantities p, q, r and s as follows C=(p q^2)/(r^3 √s) The percentage errors in…20253 April, Shift 2 · Q46
• A physical quantity Q is related to four observables a, b, c, d as follows: Q=(ab^4)/cd where, a=(60 ± 3) Pa; b=(20 ± 0.1) m;…202529 January, Shift 2 · Q46
• A bar magnet has total length 2 l=20 units and the field point P is at a distance d=10 units from the centre of the magnet. If…202528 January, Shift 2 · Q26
• A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm, respectively. Using a specially designed screw gauge…202528 January, Shift 1 · Q47
• The energy of a system is given as E(t)=α^3 e^-β t, where t is the time and β=0.3 s^-1. The errors in the measurement of α and t…202523 January, Shift 2 · Q27
• The maximum percentage error in the measurment of density of a wire is [Given, mass of wire =(0.60 ± 0.003) g radius of wire…202522 January, Shift 2 · Q27
• Young's modulus is determined by the equation given by Y=49000 m/l dyne/(cm^2) where M is the mass and l is the extension of wire…20248 April, Shift 1 · Q48
• To find the spring constant (k) of a spring experimentally, a student commits 2 % positive error in the measurement of time and…20246 April, Shift 1 · Q45
• In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the position of object…20244 April, Shift 1 · Q49
• The radius (r), length (l) and resistance (R) of a metal wire was measured in the laboratory as r=(0.35 ± 0.05) cm; R=(100 ± 10)…20241 February, Shift 1 · Q50
• The measured value of the length of a simple pendulum is 20 cm with 2 mm accuracy. The time for 50 oscillations was measured to…202431 January, Shift 2 · Q50
• If the percentage errors in measuring the length and the diameter of a wire are 0.1 % each. The percentage error in measuring its…202431 January, Shift 1 · Q50
• A physical quantity Q is found to depend on quantities a, b, c by the relation Q=(a^4 b^3)/c^2. The percentage error in a, b and…202429 January, Shift 2 · Q31
• 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:202429 January, Shift 1 · Q31
• Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: A spherical…202313 April, Shift 2 · Q36
• A body of mass (5 ± 0.5) kg is moving with a velocity of (20 ± 0.4) m / s. Its kinetic energy will be202313 April, Shift 1 · Q31
• A physical quantity P is given as P=(a^2 b^3)/(c √d) The percentage error in the measurement of a, b, c and d are 1\%, 2\%, 3\%…202310 April, Shift 1 · Q35
• 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…20238 April, Shift 1 · Q40
• 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…20236 April, Shift 2 · Q31
• Two resistances are given as R_1=(10 ± 0.5) Ω and R_2=(15 ± 0.5) Ω. The percentage error in the measurement of equivalent…20236 April, Shift 1 · Q46
• In an experiment for estimating the value of focal length of converging mirror, image of an object placed at 40 cm from the pole…202330 January, Shift 1 · Q29
• In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures…202329 January, Shift 2 · Q22