Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Highly selective Backlog Qs for JEE MainPhysicsMathematics in Physics

In an experiment of simple pendulum, the errors in the measurement of length of the pendulum (L) and time period (T) are 3 % and 2 % , respectively. The maximum percentage error in the value of L T^2 is

Options

  1. A5 %
  2. B7 %
  3. C8 %
  4. D1 %

Correct answer

B. 7 %

Step-by-step solution

Maximum percentage in the value of L T^3 aligned & = L L 100 %+2 T T 100 % & =3+2 2=7 % aligned

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 Highly selective Backlog Qs for JEE Main PYQs