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JEE Main 202312 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
12 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Structure of Atom

JEE Main 2023 · 12 April · Morning Shift · Chemistry · Structure of Atom

Values of work function ( W _ 0 ) for a few metals are given below...

Values of work function (W0)( {W}_{0} ) for a few metals are given below

Metal LiLi NaNa KK MgMg CuCu AgAg
W0eV\dfrac{{W}_{0}}{eV} 2.422 . 42 2.32 . 3 2.252 . 25 3.73 . 7 4.84 . 8 4.34 . 3

The number of metals which will show photoelectric effect when light of wavelength 400nm400nm falls on it is _____

Given: h=6.6×10–34Jsh = 6 . 6 \times {10}^{– 34}Js

c=3×108ms–1c = 3 \times {10}^{8}{ms}^{– 1}

e=1.6×10–19Ce = 1 . 6 \times {10}^{– 19}C

Correct answer

0

Step-by-step solution

The minimum amount of energy necessary to start the emission of electrons from a metal's surface is known as its work function. The work function is the minimum amount of energy required to remove an electron from a metal's surface to infinity.

Energy of incident photon =hcλ= \dfrac{hc}{\lambda}

=6.6×10−34×3×108400×10−9J= \dfrac{6 . 6 \times {10}^{- 34} \times 3 \times {10}^{8}}{400 \times {10}^{- 9}}J

=6.6×10−34×3×108400×10−9×1.6×10−9eV= \dfrac{6 . 6 \times {10}^{- 34} \times 3 \times {10}^{8}}{400 \times {10}^{- 9} \times 1 . 6 \times {10}^{- 9}}eV

=3.1eV= 3 . 1eV

If radiation energy is greater than work function of metal, then metal show photo electric effect.

∴Li,Na∴ Li, Na and KK will show photoelectric effect.

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