Oscillations PYQs - Last 10 Years

Assertion A pendulum is falling freely its
time period becomes zero.
Reason Freely falling body has the
acceleration equal to g.

A block of rectangular size of mass \(m\) and area of cross-section \(A\), floats in a liquid of density \(\rho\). If we give a small vertical displacement from equilibrium, it undergoes SHM with time period \(T\), then

Assertion : A spring of force constant $k$ is cut into two pieces having lengths in the ratio 1 :
2. The force constant of series combination of the two parts is \(\frac{3 k}{2}\).
Reason : The spring connected in series are represented by ...

A load of mass $m$ falls from a height \(h\) on the scale pan hung from a spring as shown. If the spring constant is \(k\) and mass of the scale pan is zero and the mass \(m\) does not bounce relative to the pan, then the amplitude of vibr...