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JEE Main 20199 AprilMorning Shift
Exam
JEE Main
Year
2019
Date
9 April
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2019 · 9 April · Morning Shift · Physics · Dual Nature of Matter

The electric field of light wave is given as → E = 10 ^ – 3 ( 2 5 ×...

The electric field of light wave is given as \overset{\to}{E} = {10}^{– 3}\cos \left(\dfrac{2\pix}{5 \times {10}^{– 7}} - 2\pi \times 6 \times {10}^{14}t\right)\overset{^}{x}\dfrac{N}{C} . This light falls on a metal plate of work function 2eV2eV . The stopping potential of the photo-electrons is:
Given, EE (in eVeV ) =12375λ(inA˚)= \dfrac{12375}{\lambda ( inÅ )}

Options

  1. A0.72V0.72V
  2. B2.0V2.0V
  3. C2.48V2.48V
  4. D0.48V0.48V

Correct answer

D. 0.48V0.48V

Step-by-step solution

\overset{\to}{E} = {10}^{- 3}\cos \left[\dfrac{2\pix}{5 \times {10}^{- 7}} - 2\pi \times 6 \times {10}^{14}t\right]\overset{^}{x}N / c
k=2π5×10−7k = \dfrac{2\pi}{5 \times {10}^{- 7}}
And ω=6×1014×2π\omega = 6 \times {10}^{14} \times 2\pi ⇒f=6×1014Hz⇒ f = 6 \times {10}^{14}Hz
E = ϕ + K{E}_\max
K{E}_\max = hf - ϕ
=6.6×10−34×6×10141.6×10−19−2= \dfrac{6.6 \times {10}^{- 34} \times 6 \times {10}^{14}}{1.6 \times {10}^{- 19}} - 2
=2.475−2=0.48eV= 2.475 - 2 = 0.48eV
∴∴ Stopping potential is 0.48V0.48V
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