Identify correct statement among the following
The greater the mass of a pendulum bob, the shorter is its frequency of oscillation
A simple pendulum with a bob of mass M swings with an angular amplitude of ${40^o}$. When its angular amplitude is ${20^o}$, the tension in the string is less than $Mg\cos {20^o}$.
As the length of a simple pendulum is increased, the maximum velocity of its bob during its oscillation will also decreases
The fractional change in the time period of a pendulum on changing the temperature is independent of the length of the pendulum
Two bodies $M$ and $N $ of equal masses are suspended from two separate massless springs of force constants $k_1$ and $k_2$ respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude $M$ to that of $N$ is
If a spring extends by $x$ on loading, then energy stored by the spring is (if $T$ is the tension in the spring and $K$ is the spring constant)
A force of $6.4\ N$ stretches a vertical spring by $0.1\ m$. The mass that must be suspended from the spring so that it oscillates with a time period of $\pi/4\ second$ is .... $kg$
The frequency of oscillation of a mass $m$ suspended by a spring is $'v'$. If mass is cut to one fourth then what will be the frequency of oscillation ?
Two identical springs of spring constant $'2k'$ 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 ...... .