Physics Oscillations

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

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 increases by

In the diagram shown below, the block has charge  $Q$ and is attached at one end of the light spring. The surface is smooth and horizontal and spring is in its natural length. If the electric field $E$ is switched on, the maximum elongation in the spring will be

A particle executes S.H.M. with amplitude 'a' and time period 'T'. The displacement of the particle when its speed is half of maximum speed is $\frac{\sqrt[]{x}a}{2}.$  The value of x is…………

Time period of a simple pendulum is T. The time taken to complete $\frac{5}{8}$  oscillations starting from mean position is $\frac{\alpha }{\beta }T.$  The value of a is……….