Physics Oscillations

The angular frequency of a simple pendulum is Ω rad/s. Now the length is made one fourth of the original length, the angular frequency becomes

A positive charge is moved from low potential point A to a high potential point B. Then the electric potential energy

A particle executing simple harmonic motion along x-axis, with amplitude A, about origin. If ratio of kinetic energy and total energy at $x=\frac{A}{3}$  is

The period of oscillation of system shown below is $\pi \sqrt[]{\frac{\alpha m}{5k}}$  then a is _______

Which of the following graph represents the damped oscillation motion?

A metal wire of uniform mass is used as simple pendulum. If the temperature of metal wire is increases by 10ºC and coefficient of linear expansion of the wire is 2 * 10^–6 ºC^–1, the time period of pendulum will increase by

If length of stretched string is increased by 50% keeping mass per unit length same, then in order to keep its frequency of vibration constant, its tension must be increased by

If $n_1,n_2$ and $n_3$  are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by

Two simple harmonic motion are represented by,

And 

The ratio of their amplitudes is

A metal wire of uniform mass is used as simple pendulum. If the temperature of metal wire is increases by   $10°C$ and coefficient of linear expansion of the wire is 2 * 10^-6   $°C^{-1},$ the time period of pendulum will increase by