The document is a 10 question quiz about superposition of waves and wave properties. It covers topics like nodes in vibrating air columns, beats produced by open organ pipes, the effect of tension on frequency, wave equations, standing waves on strings, fundamental frequencies of open and closed pipes, harmonic wave functions, harmonics, and characteristics of stationary waves.

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Superposition of waves
10 Questions
When an air column in a pipe closed at one end
vibrates such that three nodes are formed in it, the
frequency of its vibrations is _____ times the
fundamental frequency.
a) 2 b) 3
c) 4 d) 5
If two open organ pipes of length 50 cm and 51 cm
sounded together produce 7 beats per second, the
speed of sound is _____.
a) 307 m/s b) 327 m/s
c) 350 m/s d) 357 m/s
The tension in a piano wire is increased by 25%. Its
frequency becomes ______ times the original
frequency.
a) 0.8 b) 1.12
c) 1.25 d) 1.56
Which of the following equations represents a wave
travelling along Y-axis?
a) x = A sin (ky - ωt) b) y = A sin (kx - ωt)
c) y = A sin (ky) cos (ωt) d) y = A cos (ky) sin (ωt)

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A standing wave is produced on a string clamped at
one end and free at the other. The length of the
string
a) must be an odd integral multiple of λ/4. b) must be an odd integral multiple of λ/2.
c) must be an even integral multiple of λ. d) must be an odd integral multiple of λ.
The fundamental frequency of open pipe is _____ that of
closed pipe of same length.
A harmonic wave function is a periodic function whose
functional form is _____ Or Cosine.
What are harmonics?
A violin string vibrates with fundamental frequency of
440Hz. What are the frequencies of the first and second
overtones?

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10. State the characteristics of stationary waves.
a) Stationary waves are produced by the
interference of two identical progressive
waves travelling in opposite directions,
under certain conditions
b) There is no progressive change of phase
from particle to particle. All the particles
in one loop, between two adjacent nodes,
vibrate in the same phase, while the
particles in adjacent loops are in opposite
phase
c) A stationary wave does not propagate in
any direction and hence does not
transport energy through the medium
d) The distance between successive node
and antinode is λ/4.

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Answer Key
1. d
2. d
3. b
4. a
5. a
6. twice
7. sine
8. n/a
9. n/a
10. a,b,c,d