Physics
The diagram given below shows three ways in which the string of length l in an instrument can vibrate.
(a) Which of the diagram shows the principal note ?
(b) Which vibration has the frequency four times that of the first ?
(c) Which vibration is of longest wavelength ?
(d) What is the ratio of the frequency of vibrations in diagrams (i) and (ii) ?
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Answer
(a) The principal note is shown in part (i) of the diagram.
(b) Part (iii) of the diagram has frequency four times that of the first.
(c) The vibration in part (i) has the longest wavelength.
(d) Let the frequency of part (i) be f. Then frequency of part (ii) is 2f.
Hence, the ratio between (i) and (ii) is —
Therefore, the ratio between the frequency of part (i) and part (ii) is 1 : 2
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