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JEE Main 20202 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
2 September
Shift
Evening Shift
Subject
Chemistry
Chapter
Structure of Atom

JEE Main 2020 · 2 September · Evening Shift · Chemistry · Structure of Atom

The work function of sodium metal is 4 . 41 × 10 ^ - 19 J . If...

The work function of sodium metal is 4.41×10−19J.4 . 41 \times {10}^{- 19}J . If photons of wavelength 300nm300nm are incident on the metal, the kinetics energy of the ejected electrons will be (h=6.63×10−34Js;c=3×108ms−1)\left(h = 6 . 63 \times {10}^{- 34}Js; c = 3 \times {10}^{8}m{s}^{- 1}\right)__________×10−21J\times {10}^{- 21}JThe work function of sodium metal is 4 . 41 × 10 ^ - 19 J . If photons of wavelength 300nm are incident on the metal,

Correct answer

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Step-by-step solution

The work function of sodium metal is 4 . 41 × 10 ^ - 19 J . If photons of wavelength 300nm are incident on the metal,

E = {E}_{0} + ( kE{)}_\max
hCλ=4.41×10−19+kE\dfrac{hC}{\lambda} = 4 . 41 \times {10}^{- 19} + kE
6.63×10−34×3×108300×10−9=4.41×10−19+kE\dfrac{6 . 63 \times {10}^{- 34} \times 3 \times {10}^{8}}{300 \times {10}^{- 9}} = 4 . 41 \times {10}^{- 19} + kE
So, {\left(KE\right)}_\max = 6 . 63 \times {10}^{- 19} - 4 . 41 \times {10}^{- 19}

=2.22×10−19= 2 . 22 \times {10}^{- 19}

=222×10−21J= 222 \times {10}^{- 21}J

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