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Problem 28.45 Diffraction also occurs with sound waves. Consider 1200Hz sound wa

ID: 1269134 • Letter: P

Question

Problem 28.45

Diffraction also occurs with sound waves. Consider 1200Hz sound waves diffracted by a door that is 85cm wide.

Part A

What is the angle between the two first-order diffraction minima?

Express your answer using two significant figures.

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Problem 28.45

Diffraction also occurs with sound waves. Consider 1200Hz sound waves diffracted by a door that is 85cm wide.

Part A

What is the angle between the two first-order diffraction minima?

Express your answer using two significant figures.

? =   ?  

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Explanation / Answer

sin theta = m * (lamda/w)

theta = sin^-1(mlamda/w)

2 theta = 2 * sin^-1(mlamda/w)

= 2 *sin^-1(m*v/w)
= 2 *sin^-1((1)(343m/s))/((0.85m)*(1200Hz))

=2*sin^-1(0.3362)
=39.29 degrees

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