Plane microwaves are incident on a long slit of width 5.0 cm. Calculate the wavelength of the microwaves if the first diffraction minimum is formed at θ = 30°.

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Solution

Given:
Width of the slit, b = 5.0 cm
First diffraction minimum is formed at θ = 30°.
For the diffraction minima, we have:
bsinθ = nλ
For the first minima, we put n = 1.
$5 \times \sin 30 ° = 1 \times λ \Rightarrow λ = \frac{5}{2} = 2.5 cm$
Therefore, the wavelength of the microwaves is 2.5 cm.

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Plane microwaves are incident on a long slit of width 5.0 cm. Calculate the wavelength of the microwaves if the first diffraction minimum is formed at θ = 30°.

Given: Width of the slit, b = 5.0 cm First diffraction minimum is formed at θ = 30°. For the diffraction minima, we have: bsinθ = nλ For the first minima, we put n = 1. 5×sin30°=1×λ⇒λ=52=2.5 cm Therefore, the wavelength of the microwaves is 2.5 cm.