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प्रश्न
The frequency of the stretched string of a fixed length is f when it is plucked in the middle. Where should it be plucked so that string vibrates with frequency (i) 2f, (ii) 3f?
Draw diagrams to show these vibrations and name them.
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उत्तर
(i) The stretched string should be plucked at one-fourth part of the string to obtain frequency 2f:
(ii) The string should be plucked at one-sixth part of the string to obtain frequency 3f.
These vibrations are shown in the figure and are named as a fundamental, first overtone, and the second overtone respectively.

संबंधित प्रश्न
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- Which of the following quality determines the loudness of a sound wave?
- wavelength
- frequency and
- amplitude
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How do you account for the fact that two strings can be used to give notes of the same pitch and loudness but of different quality?
Two musical notes of the same pitch and loudness are played on a violin and a piano. Their waveforms are as shown in the figure below:

A 0.6 m long stretched wire is made to vibrate in two different modes as shown in figure
(a)

(b)

(i) If the frequency of the note produced in (b) is n, what is the frequency in case (a)?
(ii) In which case (a) or (b), is the note louder? Give reasons.
(iii) In which case is the pitch higher? Give reason.
Give a scientific reason.
The sounds generated by a tabla and a sitar are different.
