In the resonance tube, two successive positions of resonance are obtained at 15 cm and 48 cm. If the frequency of the fork is 500 cps, the velocity of sound is:

Select the correct statement about the reflection and refraction of a wave at the interface between the medium 1 and 2.

Water waves are:

The property of a medium necessary for wave propagation is its:

By which of the following waves, energy is not carried?

The wavelength of a sound wave in gas is:

With propagation of longitudinal waves through a medium, the quantity transmitted is:

Which of the following statements is true for wave motion?

Speed of sound wave in air:

Water waves produced by a motorboat sailing in water are:

Sound waves of wavelength $\mathrm{\lambda }$ travelling in a medium with a speed of v m/s enter into another medium where its speed is 2v m/s. The wavelength of sound waves in the second medium is:

Speed of sound wave in the air

Change in temperature of the medium changes

With the propagation of longitudinal waves through a medium, the quantity transmitted is:

Which of the following statements are true for wave motion?

A sound wave is passing through the air column in the form of compression and rarefaction. In consecutive compressions and rarefactions,

Equation of a plane progressive wave is given by $y=0.6 \sin 2\mathrm{\pi }\left(\mathrm{t}-\frac{x}{2}\right)$. On reflection from a denser medium, its amplitude becomes  $\frac{2}{3}$rd of the amplitude of the incident wave. The equation of the reflected wave is:

A string of mass 2.5 kg is under the tension of 200 N. The length of the stretched string is 20.0 m. If the transverse jerk is struck at one end of the string, the disturbance will reach the other end in:

A train whistling at constant frequency is moving towards a station at a constant speed v. The train goes past a stationary observer on the station. The frequency n' of the sound as heard by the observer is plotted as a function of time t (figure). Identify the expected curve.

A transverse harmonic wave on a string is described by
                   $\mathrm{y}\left(\mathrm{x},\mathrm{t}\right)=3.0\sin \left(36\mathrm{t}+0.018\mathrm{x}+\frac{\mathrm{\pi }}{4}\right)$
Where x and y in cm and t is in sec. The positive direction of x is from left to right.

a. the wave is travelling from right to left

b. the speed of the wave is 20 m/s

c. frequency of the wave is 5.7 Hz

d. the least distance between two successive crests in the wave is 2.5 cm

The displacement of the string is given by,
                             $\mathrm{y}\left(\mathrm{x},\mathrm{t}\right)=0.06\sin \left(\frac{2\mathrm{\pi x}}{3}\right)\cos \left(120\mathrm{\pi t}\right)$
where x and y are in metre and t in second. The length of the string is 1.5 m and its mass is $3.0\times {10}^{-2} \mathrm{kg}.$

a. it represents a progressive wave of frequency 60 Hz

b. it represents a stationary wave of frequency 60 Hz

c. it is the result of a superposition of two waves of wavelength 3m, frequency 60Hz each travelling with a speed of 180 m/s in the opposite direction

d. The amplitude of this wave is constant

Speed of sound in a fluid depends upon 

a. directly on the density of the medium

b. square of the Bulk modulus of the medium

c. inversely on the square root of density

d. directly on the square root of bulk modulus of the medium

During propagation of a plane progressive mechanical wave,

a. all the particles are vibrating in the same phase

b. amplitude of all the particles is equal

c. particles of the medium execute SHM

d. wave velocity depends upon the nature of the medium

The transverse displacement of a string (clamped at both ends) is given by $\mathrm{y}(\mathrm{x},\mathrm{t})=0.06\sin \left(\frac{2\mathrm{\pi x}}{3}\right)\cos \left(120\mathrm{\pi t}\right)$. All the points on the string between two consecutive nodes vibrate with:

a. same frequency

b. same phase

c. same energy

d. different amplitude

A train standing in a yard blows a whistle of frequency 400Hz in still air. The wind starts blowing in the direction from the yard to the station with a speed of 10 m/s. Given that the speed of sound in still air is 340 m/s. Then which of the following statement/s is/are true?

a. the frequency of sound as heard by an observer standing on the platform is 400Hz.

b. the speed of sound for the observer standing on the platform is 350 m/s.

c. the frequency of sound as heard by the observer standing on the platform will increase.

d. the frequency of sound as heard by the observer standing on the platform will decrease.

Which of the following statement/s is/are true for a stationary wave?

a. Every particle has a fixed amplitude which is different from the amplitude of its nearest particle

b. All the particles cross their mean position at the same time

c. All the particles are oscillating with the same amplitude

d. There is no net transfer of energy across any plane

e. There are some particles that are always at rest

The length of the string of a musical instrument is 90 cm and has a fundamental frequency of 120 Hz. Where should it be pressed to produce a fundamental frequency of 180 Hz? 

A wave travelling along a string is described by, y(x, t) = 0.005sin(80.0x – 3.0t), in which the numerical constants are in SI units. The wavelength and the period of the wave respectively are: 

A wave travelling along a string is described by, y(x, t) = 0.005 sin (80.0 x – 3.0 t), in which the numerical constants are in SI units. The displacement y of the wave at a distance x = 30.0 cm and time t = 20 sec is:

A steel wire 0.72 m long has a mass of 5.0 ×10^–3 kg.If the wire is under tension of 60 N, the speed of transverse waves on the wire will be: