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JEE Main 202126 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
26 August
Shift
Morning Shift
Subject
Physics
Chapter
Wave Optics

JEE Main 2021 · 26 August · Morning Shift · Physics · Wave Optics

White light is passed through a double slit and interference is...

White light is passed through a double slit and interference is observed on a screen 1.5m1 . 5m away. The separation between the slits is 0.3mm0 . 3mm. The first violet and red fringes are formed 2.0mmand3.5mm2 . 0mm and 3 . 5mm away from the central white fringes. The difference in wavelengths of red and violet light is (innm).\left(\text{in}nm\right) .

Correct answer

300

Step-by-step solution

y1=λrDd{y}_{1} = \dfrac{{\lambda}_{r}D}{d}

y2=λvDd{y}_{2} = \dfrac{{\lambda}_{v}D}{d}

λr−λv=(y1−y2)dD=(3.5−2)mm×0.3mm1.5m=300nm{\lambda}_{r} - {\lambda}_{v} = \left({y}_{1} - {y}_{2}\right)\dfrac{d}{D} = ( 3 .5 - 2 ) mm \times \dfrac{0 .3 mm}{1 .5 m} = 300nm

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