Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202116 Mar 2021Evening ShiftPhysicsMathematics in PhysicsActual

In order to determine the Young's Modulus of a wire of radius 0 . 2 cm (measured using a scale of least count = 0 . 001 cm ) and length 1 m (measured using a scale of least count = 1 mm ), a weight of mass 1 kg (measured using a scale of least count = 1 g ) was hanged to get the elongation of 0 . 5 cm (measured using a scale of least count 0 . 001 cm ). What will be the fractional error in the value of Young'

Options

  1. A0 . 14 %
  2. B0 . 9 %
  3. C9 %
  4. D1 . 4 %

Correct answer

D. 1 . 4 %

Step-by-step solution

Y = Stress Strain = F L A l = m g L π R 2 l Δ Y Y = Δ m m + Δ L L + 2 Δ R R + Δl l Δ Y Y × 100 = 100 1 1000 + 1 1000 + 2 0 . 001 0 . 2 + 0 . 001 0 . 5 = 1 10 + 1 10 + 1 + 1 5 = 14 10 = 1 . 4 %

Practice Mathematics in Physics on Quantrex Academy →

More from Mathematics in Physics

The density of a uniform cylinder is determined by measuring its mass m , length l and diameter d . The measured values of m , l and d are 97.42 0.02 g, 8.35 0.05 mm and 20.20 0.02 2026Four 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 length of the rod is : 2026In 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 connected in parallel, then the percentage error 2026Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm , 0.05 mm , and 6.0 ~m , respectively. Which of the following option(s) give(s) t 2025A 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 and 0.5 , respectively in measurement. The max 2025A physical quantity C is related to four other quantities p , q , r and s as follows C = pq ^2 r ^3 ~s The percentage errors in the measurement of p , q , r and s are 1 %, 2 % 3 % 2025A 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 ; c =(40 0.2) Nsm ⁻² and d =(50 0.1) m , then the per 2025For 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 2025 Full Mathematics in Physics list All JEE Main PYQs