Wave OpticsMedium
Question
A slit of width a is illuminated by light of wavelength $\lambda$. The linear separation between $1^{\text{st}\text{~}}$ and $3^{\text{rd}\text{~}}$ minima in the diffraction pattern produced on a screen placed at a distance D from the slit system is $\_\_\_\_$ .
Options
A.$\frac{D\lambda}{a}$
B.$1.5\frac{D\lambda}{a}$
C.$2\frac{D\lambda}{a}$
D.$3\frac{D\lambda}{a}$
Solution
Sol. [Key Concept: Diffraction minima at $y_{n} = \frac{n\lambda\ D}{a}$; separation of the 1st and 3rd $= \frac{2\lambda\ D}{a}$.]
Separation between $3^{\text{rd}\text{~}}\& 1^{\text{st}\text{~}}$ minima
$$= \frac{2D\lambda}{a} $$
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