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Light passes through a 10-µm-wide slit and is viewed on a screen 1 m behind the slit. If the width of the slit is narrowed, the band of light on the screen will
A. Become narrower.
B. Become wider.
C. Stay about the same.

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zainsubhani

Answer:

Option B is correct (Become wider)

Explanation:

Option B is correct (Become wider)

According to single slit formula for central bright maximum:

[tex]d=\frac{2\lambda L}{a}[/tex]

where:

d is the width for central bright maximum

λ is the wavelength

L is the distance between slit and screen

a is the width of slit

Now keeping L and λ constant:

d=C/a

where:

C is constant=2λL

d∝1/a

Width of central bright maximum is inversely proportional to width of slit.

So,If the width of the slit is narrowed, the band of light on the screen will become wider

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