Define angular frequency. Give the relation between agnular frequency and time period.

Two simple harmonic motion, are represented by the equations $y_1=10\sin \left(3\pi t+\frac{\pi }{3}\right); y_2=5(\sin 3\pi t+\sqrt{3}\cos 3\pi t)$. Ratio of amplitude of $y_1$ to $y_2=x:1$. The value of $x$ is

A simple wave motion is represented by $y=5\left(\sin 4\pi t+\sqrt{3}\cos 4\pi t\right)$. Its amplitude is

The figure below shows pressure variation in two different sound waves in air with time at a given position. Both the figures are drawn to the same scale.



Which of the following statement is true?

A travelling wave passes a point of observation. At this point, the time interval between successive crests is $0.2 \mathrm{s}$, then

A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $1.7 \mathrm{km} {\mathrm{s}}^{-1}$? The operating frequency of the scanner is $4.2 \mathrm{M} \mathrm{Hz}$.

In case of transverse wave the wavelength is the linear distance between: