1. What are transverse and longitudinal waves? Explain with suitable examples.
2. What is a progressive wave? What is a plane progressive harmonic wave? Establish
the displacement relation for harmonic wave travelling along the positive direction of x-
axis.
3. State and explain the principle of superposition of waves.
4. What are stationary waves? What is the necessary condition for the formation of
stationary waves?
5. Obtain an expression for a stationary wave formed by two sinusoidal waves travelling
along the same path in opposite directions and obtain the positions of nodes and
antinodes.
6. Prove analytically that in the case of an open organ pipe of length L, the frequencies of
vibrating air column are given by v= n(u/2L), where n is an integer.
7. What are beats? What is the essential condition for the formation of beats?
8. Derive an expression for the apparent frequency of the sound, when the observer
moves towards a stationary source of sound. Hence write the expression for the"
apparent frequency when the observer moves away from the stationary source.
9. Obtain an expression for the observed frequency of the sound produced by a source
when both observer and source are in motion and the medium at rest.
10. Define the term wave motion.
11 . What are mechanical waves?
12. Which types of waves do not require a material medium for their propagation?"
,
13.Amongst solids, liquids and gases, in which type of media, transverse wave motion is
possible?
14. Among solids, liquids and gases, in which type of media, longitudinal wave motion can
be transmitted?
15 How far the consecutive nodes are separated from each other?
Dear Student!!
Answer 1.
Longitudinal waves:
A wave in which the particles of the medium vibrate back and forth in the same direction in which the wave is moving is called longitudinal wave. Example: sound waves.
Transverse waves:
A wave in which the particles of the medium vibrate at right angles to the direction, in which the wave is moving, is called transverse wave. Example: Light waves.
Answer 3.
When two or more waves are passing through a medium, the net displacement of the wave is given by the vector sum of the displacement caused by all the waves. The principle of taking vector sum is known as superposition of waves. It can be both constructive and destructive.
The points at which waves arrive in phase (phase difference = 0), maximum displacement is observed which is called constructive interference. When the two waves arrive at a point such that they are out of phase (phase difference = π), minimum displacement is observed, which is called destructive interference
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