A plane progressive wave cannot be represented by

1.  $\mathrm{y}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\mathrm{a}<mspace\; width="1em"></mspace>\sin <mspace\; width="1em"></mspace>\left(\mathrm{\omega t}<mspace\; width="1em"></mspace>\pm <mspace\; width="1em"></mspace>\mathrm{kx}\right)<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

2.  $\mathrm{y}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\mathrm{a}<mspace\; width="1em"></mspace>\sin <mspace\; width="1em"></mspace>2\mathrm{\pi }\left(\frac{\mathrm{t}}{\mathrm{T}}\mp <mspace\; width="1em"></mspace>\frac{\mathrm{x}}{\lambda }\right)<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

3.  $\mathrm{y}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\mathrm{a}<mspace\; width="1em"></mspace>\sin <mspace\; width="1em"></mspace>\frac{2\mathrm{\pi }}{\mathrm{\lambda }}<mspace\; width="1em"></mspace>\left(\mathrm{Vt}<mspace\; width="1em"></mspace>\mp <mspace\; width="1em"></mspace>\mathrm{x}\right)<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

4.  $\mathrm{y}<mspace\; width="1em"></mspace>=<mspace\; width="1em"></mspace>\mathrm{A}<mspace\; width="1em"></mspace>\log <mspace\; width="1em"></mspace>\mathrm{x}<mspace\; width="1em"></mspace>+<mspace\; width="1em"></mspace>\mathrm{B}<mspace\; width="1em"></mspace>\log <mspace\; width="1em"></mspace>\mathrm{x}$

The longitudinal waves can travel :

1.  only in liquids

2.  only in solids

3.  only in gases

4.  In liquids, solids, and gases

A wave travelling in the positive x-direction having maximum displacement along y-direction as 1m, wavelength 2π m and frequency of 1/π Hz is represented by

1. y=sin(x-2t)
2. y=sin(2πx-2πt)
3. y=sin(10πx-20πt)
4. y=sin(2πx+2πt)

A transverse wave is represented by y=$A<mspace\; width="1em"></mspace>\sin <mspace\; width="1em"></mspace>\left(\omega t-kx\right).$ For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

(1) $\mathrm{\pi }<mspace\; width="1em"></mspace>\mathrm{A}/2$                                           

(2) $\mathrm{\pi }<mspace\; width="1em"></mspace>\mathrm{A}$

(3) $2<mspace\; width="1em"></mspace>\mathrm{\pi }<mspace\; width="1em"></mspace>\mathrm{A}$                                           

(4) A

The type of waves that can be propagated through solid is :

(1) Transverse

(2) Longitudinal

(3) Both (1) and (2)

(4) None of these

It is possible to distinguish between the transverse and longitudinal waves by studying the property of :

1. Interference

2. Diffraction

3. Reflection

4. Polarisation

Water waves are 

(1) Longitudinal

(2) Transverse

(3) Both longitudinal and transverse

(4) Neither longitudinal nor transverse

The waves in which the particles of the medium vibrate in a direction perpendicular to the direction of wave motion is known as 

1. Transverse wave

2. Longitudinal waves

3. Propagated waves

4. None of these

A wave of the frequency of 500 Hz has a velocity of 360 m/sec. The distance between two nearest points 60° out of phase is :

(1) 0.6 cm

(2) 12 cm

(3) 60 cm

(4) 120 cm

Sound waves of wavelength greater than that of audible sound are called :

(1) Seismic waves

(2) Sonic waves

(3) Ultrasonic waves

(4) Infrasonic waves