Students I, II and III perform an experiment for measuring the acceleration due to…

Physics · JEE Main · NTA ExamsPhysics and Measurement

Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. They use different length of the pendulums and record time for different number of oscillations. The observations are shown in the table.

Least count for length = 0.1 cm

Least count for time = 0.1 s

Student

Length of the pendulum L(cm)

Number of oscillations (n)

Total time for (n) oscillations t(s)

Time period \(T=\frac{t}{n}[5]\)

I

64.0

8

128.0

16.0

II

64.0

4

64.0

16.0

III

20.0

4

36.0

9.0

If EI, EII and EIII, are the percentage error in g, i.e.\(\left(\frac{\Delta \mathrm{g}}{\mathrm{~g}} \times 100\right)\) for students I, II, and III, respectively, then

  1. EI = 0
  2. EIII = 0
  3. EI = EII
  4. EII is maximum

Answer

(D) E II is maximum

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