Question

The period of oscillation of a simple pendulum is T = 2pi√(L/g). Measured value of L is 20.0 cm known to I mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of is resolution. The accuracy in the determination of g is

(a) 2%

(b) 3%

(c) 1%

(d) 5%

Answer 1

Correct Option (b) 3%

Explanation:

Given time period, T = 2pi√(L/g)

Thus, changes can be expressed as

According to the question, are can write

Again time period

Thus, accuracy in the determination of g is approx 3%