QuestionJune 15, 2025

Which is the constructive interference formula for diffraction grating problems? dsinTheta =(n+(1)/(2))lambda dcosTheta =(n+(1)/(2))lambda dcosTheta =nlambda dsinTheta =nlambda

Which is the constructive interference formula for diffraction grating problems? dsinTheta =(n+(1)/(2))lambda dcosTheta =(n+(1)/(2))lambda dcosTheta =nlambda dsinTheta =nlambda
Which is the constructive interference formula for diffraction grating problems?
dsinTheta =(n+(1)/(2))lambda 
dcosTheta =(n+(1)/(2))lambda 
dcosTheta =nlambda 
dsinTheta =nlambda

Solution
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Answer

\( d \sin \theta = n \lambda \) Explanation 1. Identify the correct formula for constructive interference Constructive interference in diffraction grating occurs when the path difference between adjacent slits is an integer multiple of the wavelength. The widely recognized formula for this condition is **d \sin \theta = n \lambda**, where d is the distance between slits, \theta is the angle of diffraction, n is the order of the maximum, and \lambda is the wavelength.

Explanation

1. Identify the correct formula for constructive interference<br /> Constructive interference in diffraction grating occurs when the path difference between adjacent slits is an integer multiple of the wavelength. The widely recognized formula for this condition is **$d \sin \theta = n \lambda$**, where $d$ is the distance between slits, $\theta$ is the angle of diffraction, $n$ is the order of the maximum, and $\lambda$ is the wavelength.
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