condition for the first minimum in the diffraction pattern is given by :
Question
condition for the first minimum in the diffraction pattern is given by :
Solution
The condition for the first minimum in the diffraction pattern is given by the formula:
a*sin(θ) = λ
where:
- a is the width of the slit
- θ is the angle between the direction of incoming light and the direction of the minimum
- λ is the wavelength of the light
This formula is derived from the principle of superposition and the Huygens-Fresnel principle. It states that the first minimum in the diffraction pattern occurs when the path difference between the light waves from the two edges of the slit is exactly one wavelength. This causes the waves to interfere destructively, resulting in a minimum in the diffraction pattern.
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