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How wide in m is a single slit that produces its first minimum for 624-nm light at an angle of 18. 0°?

Sagot :

A single slit with a width of 2019 * 109 m creates its initial minimal for 624 nm light at an angle of 18°.

How does diffraction work?

Waves spreading outward around obstructions are known as diffraction. Diffraction happens with sound, electromagnetic radiation like light, X-rays, and gamma rays, as well as with incredibly minuscule moving particles like atoms, neutrons, and electrons that exhibit wavelike qualities. Diffraction prevents the creation of sharp shadows as one of its effects. In order to spread out and illuminate regions at which a shadow is anticipated, light must be bent around corners, which is known as diffraction.

Calculation:

Provided for a single slit, m=1

λ = 624 *10⁻⁹

sinθ = sin 18⁰

Therefore,

asinθ=mλ

a = [tex]\frac{1 * 624 *10^{-9} }{sin 18}[/tex]

⇒a = 2019 *10⁻⁹ m

Therefore the width of a single slit is 2019 *10⁻⁹ m.

Learn more about single slit here:

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