Equation of the wave is given by y = 0.4 sin(314t - 3.14x), where x and y are in meter and t is in second. The speed of the wave is :

1.  50 m/s

2.  100 m/s

3.  314 m/s

4.  3.14 m/s

A plane progressive wave cannot be represented by

1.  $\mathrm{y} = \mathrm{a} \sin \left(\mathrm{\omega t} \pm \mathrm{kx}\right)$

2.  $\mathrm{y} = \mathrm{a} \sin 2\mathrm{\pi }\left(\frac{\mathrm{t}}{\mathrm{T}}\mp \frac{\mathrm{x}}{\lambda }\right)$

3.  $\mathrm{y} = \mathrm{a} \sin \frac{2\mathrm{\pi }}{\mathrm{\lambda }} \left(\mathrm{Vt} \mp \mathrm{x}\right)$

4.  $\mathrm{y} = \mathrm{A} \log \mathrm{x} + \mathrm{B} \log \mathrm{x}$

The phase difference between the prongs of a tuning fork is :

1.  $2\mathrm{\pi }$

2.  $3\mathrm{\pi }$

3.  $\mathrm{\pi }$

4.  $5\mathrm{\pi }$

$$\begin{gathered} \mathrm{The} \mathrm{isothermal} \mathrm{elasticity} \mathrm{of} \mathrm{a} \mathrm{medium} \mathrm{is} {\mathrm{E}}_i \mathrm{and} \mathrm{the} \mathrm{adiabatic} \mathrm{elasticity} \mathrm{in} {\mathrm{E}}_{\mathrm{a}}. \mathrm{The} \mathrm{velocity} \\ \mathrm{of} \mathrm{sound} \mathrm{in} \mathrm{the} \mathrm{medium} \mathrm{is} \mathrm{proportional} \mathrm{to} \end{gathered}$$

1.  ${\mathrm{E}}_{\mathrm{i}}$

2.  ${\mathrm{E}}_{\mathrm{a}}$

3.  $\sqrt{{\mathrm{E}}_{\mathrm{i}}}$

4.  $\sqrt{{\mathrm{E}}_{\mathrm{a}}}$

When a wave is reflected from a denser medium the change in phase is :

1.  0

2.  $\mathrm{\pi }$

3.  $2\mathrm{\pi }$

4.  $3\mathrm{\pi }$

In a stationary wave along a string, the strain is :

1.  zero at the antinodes

2.  maximum at the antinodes

3.  zero at the nodes

4.  maximum at the nodes

A source of sound moves away with velocitv of sound from a stationary observer. Then the frequency of the sound heard by the observer :

1. remains the same

2. is doubled

3. is halved

4. becomes infinity

The longitudinal waves can travel :

1.  only in liquids

2.  only in solids

3.  only in gases

4.  In liquids, solids, and gases

The equation of a wave pulse travelling along x-axis is given by $y=\frac{30}{2+{\left(x-20t\right)}^2}$ x and y are in meters and t is in seconds. The amplitude of the wave pulse is 

1.  5 m

2.  20 m

3.  15 m

4.  30 m

The equation of a standing wave in a string is $\mathrm{y} = \left(200\mathrm{m}\right)\sin \frac{2\mathrm{\pi }}{50}\mathrm{x} \cos \frac{2\mathrm{\pi }}{0.01}\mathrm{t}$ where x is in metres and t is in seconds. At the position of antinote, how many times the distance of string particle becomes 200m from the mean position in one second

1.  100 times

2.  50 times

3.  200 times

4.  400 times