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polet [3.4K]
3 years ago
12

Which of the following graphs shows the relationship between two variables that obey the inverse square law?​

Physics
1 answer:
blondinia [14]3 years ago
8 0

Well, if we've been paying attention in class, we already KNOW that the electrostatic force changes as the inverse square of the distance, and the top graph is conveniently labeled "Electrostatic Force".

But if we didn't already know that, we'd have to examine the graphs, and find the one where 'y' changes like 1/x² .

The top graph does that.  After 1 unit of time, the force is 350.  Double the time to 2 units, and the force should drop to 1/4 of 350 ... sure enough, it's a little less than 90.  Double the time again, to 4 units, and it should drop to 1/4 of a little less than 90 ... by golly, it's down below 30.

The first graph is what an inverse square looks like.  Now that you've worked out this graph, you'll know an inverse square relationship whenever you see it.  

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a. Wavelength = λ = 20 cm

b. Next distance of maximum intensity will be 40 cm

Explanation:

a. The distance between the two speakers is 20cm. SInce the intensity is maximum which refers that we have constructive interference and the phase difference must be an even multiple of π and equivalent path difference is nλ.

Now when distance increases upto 30 cm between the speakers, the sound intensity becomes zero which means that there is destructive interference and equivalent path is now increased from nλ to nλ + λ/2.

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