(i) What are beats? Name the basic phenomenon due to which beats are produced.
(ii) Two sources of sound are producing waves of frequency n1 and n2, where (n1 - n2) is small. Show mathematically that the beat frequency is (n1 - n2).
Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM
(i) When two sources of sound having slightly different frequencies are made to vibrate simultaneously, the intensity of the resultant sound varies producing periodic maxima and minima. This phenomenon responsible for their formation is the interference of waves.
(ii) Let the two waves be represented as,
Answered by | 4th Jun, 2014, 03:23: PM
- Define beats. Give the analytical treatment of beats.
- A set of 28 tuning forks is arranged in a series of decreasing frequencies. The first tuning fork is higher ocatve of last tuning fork. When the two consecutive tuning forks are sound together, 4 beats are produced. Find the frequency of first and last tuning fork.
- Two waves of wavelengths 1m and 1.02m produce 13 beats in 2 seconds in air at NTP. Find the velocity of air at NTP.
- What is the difference between interference and beats?
- (i) A tuning fork T produces n beats/sec with another fork S whose frequency is known to be n1. When T is loaded with wax, the beat frequency decreases. What is the frequency of T? (ii) On loading T if the beat frequency increases, what will be the frequency of T?
- In an experiment it was found that a tuning fork and a sonometer gave 5 beats per second, both when the length of the wire was 1 m and 0.05 m. Calculate the frequency of the fork.
- Two open end organ pipes of length 50 cm and 50.5 cm produce 3 beats/sec. Calculate the velocity of sound in air.
- A note produces 7 beats with tuning fork A of frequency 256 Hz and 3 beats with tuning fork B of frequency 266 Hz. Find the frequency of note.
- A tuning fork gives 3 beats per second with sonometer wire when its length is either 49.8 cm of 50.2 cm. Find the frequency of tuning fork.
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