Question

Two springs are connected to a block of mass $M$ placed on a frictionless surface as shown below. If both the springs have a spring constant $k$, the frequency of oscillation of the block is

• A. $\frac{1}{2 \pi} \sqrt{\frac{k}{M}}$
• B. $\frac{1}{2 \pi} \sqrt{\frac{k}{2M}}$
• C. $\frac{1}{2 \pi} \sqrt{\frac{2k}{M}}$
• D. $\frac{1}{2 \pi} \sqrt{\frac{M}{k}}$

Answer 1

Answer: (B)

$\frac{1}{2 \pi} \sqrt{\frac{k}{2M}}$

Answer 2

Let when the oscillating mass is at a distance $x$ towards right from its equilibrium position, the instantaneous extensions in the springs of force constants $k$, is