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JEE Main 20205 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
5 September
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2020 · 5 September · Morning Shift · Physics · Dual Nature of Matter

A beam of electrons of energy E scatters from a target having...

A beam of electrons of energy E scatters from a target having atomic spacing of 1Å1Å. The first maximum intensity occurs at θ=60°.\theta = 60 ° . Then E(ineV)E ( ineV ) is........
(Planck's constant h=6.64×10−34Js,1eV=1.6×10−19J,h = 6 . 64 \times {10}^{- 34}Js, 1eV = 1 . 6 \times {10}^{- 19}J, electron mass m=9.1×10−31kgm = 9 . 1 \times {10}^{- 31}kg)

Correct answer

50

Step-by-step solution

2dsinθ=nλ2dsin\theta = n\lambda

2d32=(1)λ2d\dfrac{\sqrt{3}}{2} = \left(1\right)\lambda

d=1Åd = 1Å

λ=3Å\lambda = \sqrt{3}Å

λ=3=150V\lambda = \sqrt{3} = \sqrt{\dfrac{150}{V}}

V=50voltV = 50volt

E=50eVE = 50eV

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