equation of 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.  $5\mathrm{\pi }$

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

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

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

1.  5m

2.  20m

3.  15

4.  30m