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Hey, for part b)
This is the key for this question: For minima to occur: Path difference= 0.5Lambda, 1.5 Lambda. 2.5 Lambda and so on...
If you look at the figure, you'll see that it's a right angled triangle, use paythagors theorem. You'll get S2M= 128 cm
Path diff= 128 - 100= 28 cm
Your range is from 1khz to 4 kHz
Use v= lambda x frequency
Speed = 330 m/s
Range of lambda= 8.25 cm to 33cm
Now, start trying, remember path diff= nlambda
So 28= 0.5 x Lambda, 56 not in allowed range
28= 1.5 x lambda, 18.6 allowed range
28= 2.5 x lambda , 11.2 allowed range
So 2 minima occur
Thanks a bunchhhhhh!! JazakAllah kher.