Exercise 16.38 Two small stereo speakers are driven in step by the same variable

Question

Exercise 16.38 Two small stereo speakers are driven in step by the same variable-frequency oscillator. Their sound is picked up by a microphone arranged as shown in the figure (Figure 1) . Assume that the speed of sound is 344 m/s. Exercise 16.38 Two small stereo speakers are driven in step by the same variable-frequency oscillator. Their sound is picked up by a microphone arranged as shown in the figure (Figure 1) . Assume that the speed of sound is 344 m/s. Two small stereo speakers are driven in step by the same variable-frequency oscillator. Their sound is picked up by a microphone arranged as shown in the figure (Figure 1) . Assume that the speed of sound is 344 m/s. Two small stereo speakers are driven in step by the same variable-frequency oscillator. Their sound is picked up by a microphone arranged as shown in the figure (Figure 1) . Assume that the speed of sound is 344 m/s. Part A For what frequencies does their sound at the speakers produce constructive interference? Express your answer in terms of n (an integer factor).   fcons =   Hz   SubmitMy AnswersGive Up Part B For what frequencies does their sound at the speakers produce destructive interference? Express your answer in terms of n (an integer factor).   fdest =   Hz   SubmitMy AnswersGive Up Provide FeedbackContinue Part A For what frequencies does their sound at the speakers produce constructive interference? Express your answer in terms of n (an integer factor).   fcons =   Hz   SubmitMy AnswersGive Up Part B For what frequencies does their sound at the speakers produce destructive interference? Express your answer in terms of n (an integer factor).   fdest =   Hz   SubmitMy AnswersGive Up Part A For what frequencies does their sound at the speakers produce constructive interference? Express your answer in terms of n (an integer factor).   fcons =   Hz   SubmitMy AnswersGive Up Part B For what frequencies does their sound at the speakers produce destructive interference? Express your answer in terms of n (an integer factor).   fdest =   Hz   SubmitMy AnswersGive Up Part A For what frequencies does their sound at the speakers produce constructive interference? Express your answer in terms of n (an integer factor).   fcons =   Hz   SubmitMy AnswersGive Up Part B For what frequencies does their sound at the speakers produce destructive interference? Express your answer in terms of n (an integer factor).   fdest =   Hz   SubmitMy AnswersGive Up Part A For what frequencies does their sound at the speakers produce constructive interference? Express your answer in terms of n (an integer factor).   fcons =   Hz   SubmitMy AnswersGive Up Part A For what frequencies does their sound at the speakers produce constructive interference? Express your answer in terms of n (an integer factor).   fcons =   Hz   SubmitMy AnswersGive Up   fcons =   Hz     fcons =   Hz   SubmitMy AnswersGive Up Part B For what frequencies does their sound at the speakers produce destructive interference? Express your answer in terms of n (an integer factor).   fdest =   Hz   SubmitMy AnswersGive Up Part B For what frequencies does their sound at the speakers produce destructive interference? Express your answer in terms of n (an integer factor).   fdest =   Hz   SubmitMy AnswersGive Up   fdest =   Hz     fdest =   Hz   SubmitMy AnswersGive Up Provide FeedbackContinue Figure 1 of 1 Exercise 16.38 Two small stereo speakers are driven in step by the same variable-frequency oscillator. Their sound is picked up by a microphone arranged as shown in the figure (Figure 1) . Assume that the speed of sound is 344 m/s. Part A For what frequencies does their sound at the speakers produce constructive interference? Express your answer in terms of n (an integer factor).   fcons =   Hz   SubmitMy AnswersGive Up Part B For what frequencies does their sound at the speakers produce destructive interference? Express your answer in terms of n (an integer factor).   fdest =   Hz   SubmitMy AnswersGive Up Provide FeedbackContinue Figure 1 of 1 Two small stereo speakers are driven in step by the same variable-frequency oscillator. Their sound is picked up by a microphone arranged as shown in the figure (Figure 1) . Assume that the speed of sound is 344 m/s.

Explanation / Answer

Path difference in wave reaching the microphone = sqrt(2^2 + 4.5^2) - 4.5 = 0.4244 m

For constructive interference, Path diff = n*lambda

Lambda = 0.4244/n = v/f

A) f = nv/0.4244 = n*810 Hz n=1,2,3,....

B) For destructive,

Path diff = (2n-1)Lambda/2

Lambda = 2*0.4244/(2n-1) = v/f

f = (2n-1)405 ; n=1,2,3,....

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