Waves
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Question : 12
Total: 27
(i) For the wave on a string described in question no. 11, do all the points on the string oscillate with the same (a) frequency, (b) phase, (c) amplitude? Explain your answers.
(ii) What is the amplitude of a point 0.375 m away from one end?
(ii) What is the amplitude of a point 0.375 m away from one end?
Solution:
(i) All the points on the string (a) have the same frequency of oscillation (except at the nodes, where the frequency is zero).
(b) have the same phase between two adjacent nodes. (c) but not the same amplitude.
(ii) Now, the amplitude of the given wave is
A = 0.06 sin
x
Atx = 0.375
A ( at x = 0.375 m ) = 0.06 sin
× 0.375
= 0.06 sin
= 0.06 × 0.707 = 0.042 m
(b) have the same phase between two adjacent nodes. (c) but not the same amplitude.
(ii) Now, the amplitude of the given wave is
At
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