Question:
Two identical springs of spring constant ' $2 \mathrm{k}$ ' are attached to a block of mass $m$ and to fixed support (see figure).When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of oscillations of this sytem is:
Correct Option: 4,
Solution:
(4) For parallel combination $k_{e q}=k_{1}+k_{2}$
$\mathrm{k}_{\mathrm{eq}}=4 \mathrm{k}$
$\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{k}_{\mathrm{eq}}}}$