Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Manipal MET2014PhysicsMathematics in Physics

A student performs an experiment for determination of g (= 4 ^2 l T^2 ), l 1 ~m , and he commits an error of l . For T he takes the time of n oscillations with the stop watch of least count T and he commits a human error of 0.1 s . For which of the following data, the measurement of g will be most accurate?

Options

  1. A( l =5 ~mm , ~T =0.2 ~s , n =20 ), Amplitude of oscillation (=5 ~mm )
  2. B( l =5 ~mm , ~T =0.1 ~s , n =20 ), Amplitude of oscillation (=1 ~mm )
  3. C( l =1 ~mm , ~T =0.1 ~s , n =50 ), Amplitude of oscillation (=1 ~mm )
  4. D( l =5 ~mm , ~T =0.2 ~s , n =10 ), Amplitude of oscillation (=5 ~mm )

Correct answer

C. ( l =1 ~mm , ~T =0.1 ~s , n =50 ), Amplitude of oscillation (=1 ~mm )

Step-by-step solution

we have to calculate the error in gravity using the formulae ( g ~g = l l + 2 t nt ) where (g= ) acceleration due to gravity ( aligned & l = length & n = number of oscillations aligned ) So, after hit and trial method we can say that with option (D ) we will get the least error.

Practice Mathematics in Physics on Quantrex Academy →

More from Mathematics in Physics

Which of the following statements is/are true? (A) Three vectors not lying in a plane give zero resultant (B) Three vectors lying in a plane can give zero resultant (C) Two vectors 2026Forces A and B act at a point. The sum of their magnitudes is 50 N and the magnitude of their resultant is 20 N. If the resultant is at 90^ with the smaller force, the magnitudes o 2026If two vectors A = 4 i + n j + 2 k and B = 2 i + 2 j - k are mutually perpendicular to each other then value of 'n' is 2026A physical quantity x is related as x = a b^2 c^3 d⁻⁴ . Relative errors in the quantities a , b , c and d are 2%, 1%, 3% and 4% respectively. Relative error in x will be 2026The percentage error in the measurement of mass of a body and its speed are 0.73 % and 1.84 % respectively. The percentage error in the measurement of its momentum and kinetic ener 2026The area of parallelogram formed by vectors P = 2 i - j + 5 k and Q = 3 i - 2 j + 4 k is 2026A cuboid has volume V = l l l , where l is the length of one side. When the length l is measured by a meter scale of least count 1 , mm , the relative percentage error in the measu 2026For two vectors P and Q , P Q = | P Q | The magnitude of R = P + Q is ( 45^ = 1 2 ) ? 2026 Full Mathematics in Physics list All Manipal MET PYQs