The phase difference between displacement and particle velocity of a longitudinal wave 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 diagram below shows an instantaneous position of a string as a transverse progressive wave, travels along it from left to right. 

Which one of the following correctly shows the direction of the velocity of the points $1, 2$ and $3$ on the string?

Figure below shows the wave $y=A\sin (\omega t-kx)$ at any instant travelling in the positive $x-$direction. What is the slope of the curve at $B$? 

Sound waves are travelling along positive $x$- direction. Displacement of particle at any time $t$ is as shown in figure. Select the wrong statement.

The $y-x$ curve at an instant for a wave travelling along $x$ axis on a string is shown. Slope at the point $A$ on the curve, as shown, is $53°$. Which of the following is/are correct?

Represent the union of two sets by Venn diagram for each of the following.

$X=\{x | x$ is a prime number between $80$ and $100\}$

$Y=\{y | y$ is an odd number between $90$ and $100\}$