Q. Two springs of force constant $K$ and $2K$ are connected to a mass as shown below. The frequency of oscillation of the mass is
A) $(1/2\pi)\sqrt{(K/m)}$
B) $(1/2\pi)\sqrt{(2K/m)}$
C) $(1/2\pi)\sqrt{(3K/m)}$
D) $(1/2\pi)\sqrt{(m/K)}$
Explanation
(c) $n = \frac{1}{2\pi}\sqrt{\frac{K_{effective}}{m}} = \frac{1}{2\pi}\sqrt{\frac{(K + 2K)}{m}} = \frac{1}{2\pi}\sqrt{\frac{3K}{m}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.