Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced
Exam
JEE Advanced
Subject
Physics
Chapter
Mathematics in Physics

JEE Advanced · Physics · Mathematics in Physics

An experiment measures quantities a, b, c and x the value of x is...

An experiment measures quantities a,b,ca, b, c and xx the value of xx is calculated from x=ab/c3x=a b / c^3. If the maximum percentage error in a, b and c are 1%,1%1 \%, 1 \% and 2%2 \%, respectively, then

Options

  1. Athe error in xx may be zero
  2. Bfor any particular reading, error in x may 10\%
  3. Cmaximum percentage error in xx is −4%-4 \%.
  4. Dmaximum percentage error in x is 8%8 \%.

Correct answer

D. maximum percentage error in x is 8%8 \%.

Step-by-step solution

\left|\frac{\Delta x}{x}\right|=\left|\frac{\Delta a}{a}\right|+\left|\frac{\Delta b}{b}\right|+3\left|\frac{\Delta c}{c}\right|
Practice Mathematics in Physics on Quantrex Academy →

More from Mathematics in Physics

The density ρ of a uniform cylinder is determined by measuring its mass m , length l and… JEE Main 2026Four persons measure the length of a rod as 20.00 ~cm, 19.75 ~cm, 17.01 ~cm and 18.25 cm.… JEE Main 2026In an experiment the values of two spring constants were measured as k_ 1 =(10 ± 0.2) N /… JEE Main 2026Length, breadth and thickness of a strip having a uniform cross section are measured to… JEE Advanced 2025A quantity Q is formulated as X^ -2 Y^ +(3)/(2) Z^ -(2)/(5) · X, Y and Z are independent… JEE Main 2025A physical quantity C is related to four other quantities p, q, r and s as follows C=… JEE Main 2025A physical quantity Q is related to four observables a, b, c, d as follows : Q= ab ^4 ~cd… JEE Main 2025For an experimental expression y=(32.3 × 1125)/(27.4) , where all the digits are… JEE Main 2025 Full Mathematics in Physics list All Most Important Selected Qs for JEE Advanced PYQs