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Comprehensive Questions, Waves

See here answers to the comprehensive questions on waves included in the new course of First Year.

S No Question
Question 1 What is meant by wave motion? Define the terms wave length and frequency, and derive the relationship between them.
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Question 2 Describe longitudinal and transverse waves whih examples and clearly explain the difference between them.
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Problem 3 Explain the following terms;
(a) Crest (b) Trough (c) Compression (d) Rarefaction (e)Node (f) Anti-node
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Problem 4 What do you mean by stationary waves? Show that as the string vibrates in more and more loops, its frequency increases and wavelength decreases.
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Problem 5 Explain Newton’s formula for the speed of sound. Show that how it was corrected by a French scientist Laplace?
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Problem 6 Explain the speed of sound in a gas and give all the factors which affect the speed of sound in the air.
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Problem 7 How the speed of sound varies in the air with temperature and hence show that for each one degree centigrade rise in temperature the speed of sound increases by 0.61 m/s?
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Problem 8 What are beats? Explain how they are produced and show that the number of beats per second is equal to the difference in frequencies of the two sources?
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Problem 9 What is Doppler’s effect? Derive expression for the frequencies heard,
(a) When the sounding source approaches a stationary listener.
(b) When listener moves toward a stationary sounding source.
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Problem 10 What are organ pipes? Show that an open organ pipe is richer in harmonics than a closed organ pipe?
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Problem 11 Explain the vibration in a closed organ pipe and show that the frequency of third harmonic is 5v/4L.
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