In the adjacent figure, if the incline plane is smooth and the springs are identical, then the period of oscillation of this body is
$2 \pi \sqrt{\frac{M}{2 k}}$
$2 \pi \sqrt{\frac{2 M}{k}}$
$2 \pi \sqrt{\frac{M}{k \sin \theta}}$
$2 \pi \sqrt{\frac{M \sin \theta}{k}}$
Two springs with spring constants ${K_1} = 1500\,N/m$ and ${K_2} = 3000\,N/m$ are stretched by the same force. The ratio of potential energy stored in spring will be
A mass of $2.0\, kg$ is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is $200\, N/m.$ What should be the minimum amplitude of the motion so that the mass gets detached from the pan (take $g = 10 m/s^2$).
If a watch with a wound spring is taken on to the moon, it
A block of mass $m$ hangs from three springs having same spring constant $k$. If the mass is slightly displaced downwards, the time period of oscillation will be
What is spring constant of spring ? Write its unit and dimensional formula.