State whether the following statements are true or false:

The source slit width increases, the fringe pattern gets less and less sharp. When the source slit is so wide then the interference pattern disappears.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept: Bandwidth,

β = (\frac{D}{d}) λ

where
D stands for screen to slit distance.
d is Distance between the slits
λ is wavelength
1) Screen is moved away--Here, D increases. Hence, bandwidth increases
2) Wavelength decreases --here, λ decreases Hence, bandwidth decreases
Wavelength increases -- Here, λ increases. Hence, bandwidth increases
3) Slit width increase -- Here, d increases. Hence, bandwidth decreases
4) As the source slit width increases, the fringe pattern gets less and less sharp. The interference pattern vanishes when the source slit is this broad.
Hence, the given statement is true.

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