Oscillations Te...

Select the correct statements from the following

A particle performs SHM with a period $$T$$ and amplitude $$a$$. The mean velocity of particle over the time interval during which it travels a distance $$a/2$$ from the extreme position is:

Find the length of a simple pendulum such that its time period is $$2\ s$$.

The time period of a simple pendulum is 0.2 sec. What is its frequency of oscillation?

You are designing a pendulum clock to have a period of $$1.0\ s$$. How long should the pendulum be ?

What is to and fro motion of an object called?

How does time period (T) of a seconds pendulum vary with length (L) ?

A particle moving on x-axis has potential energy $$U=2-20x+5x^{2}$$ Joule along x-axis. The particle is released at $$r=-3$$. The maximum value of $$x$$ will be (x is in meter):

A particle performing SHM takes time equal to T (time period of SHM) in consecutive appearances at a particular point. This point is 

Which of the following is not a necessary apparatus for the measurement of acceleration due to gravity $$(g)$$ by a simple pendulum?