Question

A simple pendulum of length l is made to oscillate with an amplitude of 45 degrees. The acceleration due to gravity is g. Let T₀ = 2 π √l/g. The lime period of oscillation of this pendulum will be 

(A) T₀ irrespective of the amplitude. 

(B) slightly less than T₀.

(C) slightly more than T₀.

(D) dependent on whether it swings in a plane aligned with the north-south or cast-west directions.

Answer 1

The correct option is (A)  T₀ irrespective of the amplitude.

Explanation:

T₀ = 2 π √l/g

If θ is greater, then a < gθ 

Hence time-period T' > T₀.