Question

The frequency of oscillation for the simple pendulum is

(a) 1/2π √L/g

(b) 1/2π √g/L

(c) 2π √L/g

(d) 2π√g/L

The question was asked in a national level competition.

I would like to ask this question from Simple Harmonic Motion topic in portion Simple Harmonic Motion of Machine Kinematics

Answer 1

Correct option is (b) 1/2π √g/L

The explanation: The motion of the bob from one extremity to the other is known as beat or swing. Thus one beat = 1/2 oscillation.

∴ Periodic time for one beat = π √g/L

∴ Frequency = 1/2π √g/L.