Inside a cart accelerating horizontally with acceleration a, a block of mass M is connected to two light springs of constants k₁ and k₂. The block can move without friction horizontally. Find its vibration frequency.

Options

• Option A

  $\frac{1}{2\pi}$$\sqrt{\frac{k_{1+}k_2}{M}}$

• Option B

  $\frac{1}{2\pi}$$\sqrt{\frac{k_{1+}k_2}{M}-a}$

• Option C

  $\frac{1}{2\pi}$$\sqrt{\frac{k_1k_2}{\left(k_1+k_2\right)M}}$

• Option D

  $\frac{1}{2\pi}$$\sqrt{\frac{k_1+k_2}{\left(k_1+k_2\right)M}+a}$