Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

The equation of motion of a particle is given as d²y/dt² + Ky = 0, where K is a positive constant. What is the period of the motion?
Options
A 2π/K
B 2πK
C 2π/√K
Correct Answer
D 2π√K
Correct Answer

Option C is the correct answer.

Detailed Explanation

The equation is of the form a = -ω²y. Comparing, ω² = K, so ω = √K. Period T = 2π/ω = 2π/√K.

Hint

ω² = K.

Question Info