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

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

1.  5m

2.  20m

3.  15

4.  30m