Question #63726

in a biprism expt., the distance of 20th bright band from centre of interference pattern is 8mm.calculate distance of 30th bright band from centre.

Expert's answer

Answer on Question #63726, Physics / Optics

Question:

In a biprism expt., the distance of 20th bright band from centre of interference pattern is 8mm. Calculate distance of 30th bright band from centre.

Solution:

Here is the scheme for this experiment:



The source of light C is a narrow slit. The angle α\alpha is very small and the interference occurs from two imaginary sources, CC' and CC'' .

Let hh be the distance between imaginary sources, LL — the distance from the slit to the screen, XX — the distance of the nthn^{\text{th}} bright band from the centre, and λ\lambda — wavelength of the light.

These parameters connected by this relation:

For 20th20^{\text{th}} bright band

For 30th30^{\text{th}} bright band

We may express unknown parameters this way: - —, and insert it into second formula:

mm,

Answer:

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