and all the beat frequencies will be in sync when we take the LCM so simply take LCM of beat frequencies of each pair and you will get the answer. When two waves of slightly different frequencies super imposes, a wave of fluctuating amplitude is obtained, which is known as beats. What average frequency will you hear, and what will the beat frequency be Step-by-step solution. Note: when there are more than two sources keep in mind that each pair will have different beat frequency and net beat frequency will occur when all the different beat frequencies of each pair are in sync. Two tuning forks having frequencies of 460 and 464 Hz are struck simultaneously. After that A is loaded with wax and sounded, the again 3 beats per second are observed. Hence, the final beat frequency will be 30. When a tuning fork A of unknown frequency is sounded with another tuning fork B of frequency 256 Hz, then 3 beats per second are observed. As the final beat frequency will be the LCM of all the beat frequencies obtained and LCM of all these will be 30. Which is given by the difference between the combination.īeat frequency of (201,206) will be 5 and What beat frequencies are possible for pairs of these forks sounded together Two, four, and six Hz are the possible beat frequencies for pairs of these forks sounded together. Two tuning forks, with frequencies of 256 and 260 Hz, respectively, are struck at the same time. Now we will find the beat of each combination. Suppose three tuning forks of frequencies 260 Hz, 262 Hz, and 266 Hz are available. (a) With this measurement, determine the frequency of the tuning fork. There are four source of frequency so there will be $^4 = 6$ combinations The sound waves generated by the fork are reinforced when the length of the air column corresponds to one of the resonant frequencies of the tube Suppose the smallest value of L for which a peak occurs in the sound intensity is 8.97 cm. Thus the frequency is inversely proportional to temperature.Hint: Here there are four sources so in order to find overall beat frequency you need to find beat frequency of each combination and then take the LCM of beat frequency of each combination to find the final beat frequency. Note:When we are given questions related to tuning fork, we have to note the temperature in the given system as well, because the pitch of the tuning fork varies with temperature due to a decrease in value of the modulus of elasticity of steel with an increase in the temperature. Thus we can conclude that option B is the correct answer. Ans: Hint: Here there are four sources so in order to find overall beat frequency you need to find beat freq. The beat frequency will be-(A)6 (B)12(C) 15 (D)None of these. Hence, we have calculated the velocity of sound in air as $326.4 m/s$. Four tuning forks of frequencies 200, 201, 204 and 206 Hz are sounded together. We are also given that their wavelengths produced by each fork differs by 6 cm, that is In the question, we are given two tuning forks of frequencies 320 Hz and 340 Hz that can produce sound waves in air. A produces some beats per second with unknown tuning fork. Two tuning forks having frequency 256 Hz (A) and 262 Hz (B) tuning fork. If v is the velocity of sound in air, $\upsilon $is the frequency and $\lambda $is the wavelength then we can relate the three values as class-11 sound-waves Share It On Facebook Twitter Email. We can find the velocity by relating it with the frequency and the wavelength. The vibration of the tuning fork occurs when it is hit hard with a tool like a rubber hammer and it leads to the production of disturbances in surrounding air molecules. Hint:A tuning fork is a suitable representation to show the production of sound by vibrating objects.
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