A two-sit interference set-up with slit separation d = 0.30mm produces interfere

Question

A two-sit interference set-up with slit separation d = 0.30mm produces interference fringes at a particular set of angles theta_m (where m = 0, 1, 2, ..) for red light of frequency f = 4.9 times 10^14 Hz. Part A If one wishes to construct an analogous two-slit interference set-up that produces interference fringes at the same set of angles theta_m for temperature sound of middle --C frequency f_s = 262Ha, what should the sit separation d_s be for analogous set-up? Express your answer using two significant figures. d_s = ______ m

Explanation / Answer

dsin(theta)=m x lambda (constructive interference)

lambda =C/ Frequency

And we have to keep d/lambda ratio same.

Hence ( 0.30 x 10^-3m X 4.9 x10^14 Hz ) / 262Hz = 5.61 X 10^8 m

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