Given below are two statements: Statement I: A plane wave after passing through a prism remains a plane wave but passing through a small pin hole may become a spherical wave. Statement II: The curvature of a spherical wave emerging from a slit will incr

Question

Given below are two statements:

Statement I: A plane wave after passing through a prism remains a plane wave but passing through a small pin hole may become a spherical wave.

Statement II: The curvature of a spherical wave emerging from a slit will increase for increasing slit width.

In the light of the above statements, choose the correct answer from the options given below: [2026]

Smart Achievers · Accepted Answer

(1)

Increasing the slit width ‘a’ decreases the diffraction angle $(θ = λ / a)$ and reduces the spreading of the wave. A narrower slit produces a more pronounced spherical wave (high curvature) while a wider slit leads to a flatter, less curved wave.

Solution

1 Statement I is true but Statement II is false

2 Both Statement I and Statement II are false

3 Statement I is false but Statement II is true

4 Both Statement I and Statement II are true

Ans.
(1)

Increasing the slit width ‘a’ decreases the diffraction angle $(θ = λ / a)$ and reduces the spreading of the wave. A narrower slit produces a more pronounced spherical wave (high curvature) while a wider slit leads to a flatter, less curved wave.

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