Question

The displacement of a simple harmonic motion doing oscillation when kinetic energy = potential energy (amplitude = 4cm) is?

(a) 2√2cm

(b) 2cm

(c) 1/√2 cm

(d) √2 cm

I have been asked this question in a national level competition.

This interesting question is from Oscillatory Motion topic in chapter Oscillations of Engineering Physics I

Answer 1

The correct option is (a) 2√2cm

To explain I would say: When kinetic energy = potential energy,

y=a/√2=4/√2=2√2 cm.