## H C VERMA PHYSICS BOOK SOLUTIONS WAVE MOTION

**SOLVED EXAMPLES**

**SOLVED EXAMPLES**

1. A wave is propagating on a long stretched string along its length taken as the positive x-axis. The wave equation is given as

**2.** Consider the wave y = (5 mm) sin (1 cm–1) x – (60 s–1) t]. Find (a) the amplitude (b) the wave number, (c) the wavelength, (d) the frequency, (e) the time period and (f) the wave velocity.

**3. ** Figure shows a string of linear mass density 1.0 g/cm on which a wave pulse is travelling. Find the time taken by the pulse in travelling through a distance of 50 cm on the string. Take g = 10 m/s2.

**4. ** The average power transmitted through a given point on a string supporting a sine wave is 0.20 W when the amplitude of the wave is 2.0 mm. What power will be transmiited through this point if the amplitude is increased to 3.0 mm.

**5.** Two waves are simultaneously passing through a string. The equations of the waves are given by

**6.** Two travelling waves of equal amplitudes and equal frequencies move in opposite direction along a string. They interfere to produce a standing wave having the equation.

**7. ** A 50 cm long wire of mass 20 g supports a mass of 1.6 kg as shown in figure. Find the fundamental frequency of the portion of the string between the wall and the pulley. Take g = 10 m/s2.

**8. ** In a sonometer experiment, resonance is obtained when the experimental wire has a length of 21 cm between the bridges and the vibrations are excited by a tuning fork of frequency 256 Hz. If a tuning fork of frequency 384 Hz is used, what should be the length of the experimental wire to get the resonance ?

**QUESTIONS FOR SHORT ANSWER**

**QUESTIONS FOR SHORT ANSWER**

**1. ** You are walking along a seashore and a mild wind is blowing. Is the motion of air a wave motion