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JEE Main 20202 SeptemberEvening Shift

Exam: JEE Main
Year: 2020
Date: 2 September
Shift: Evening Shift
Subject: Physics
Chapter: Wave Optics

JEE Main 2020 · 2 September · Evening Shift · Physics · Wave Optics

In a Young's double slit experiment, 16 fringes are observed in a...

In a Young's double slit experiment,

16

fringes are observed in a certain segment of the screen when light of wavelength

700nm

is used. If the wavelength of light is changed to

400nm

, the number of fringes observed in the same segment of the screen would be :

Options

A $24$
B $30$
C $18$
D $28$

Correct answer

D. $28$

Step-by-step solution

y = \dfrac{{m}_{1}D{\lambda}_{1}}{d} = \dfrac{mD{\lambda}_{2}}{d}

\dfrac{{m}_{2}}{{m}_{1}} = \dfrac{{\lambda}_{1}}{{\lambda}_{2}} ⇒ {m}_{2} = \dfrac{700}{400} \times 16 = 28

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