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here is your answer dear
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Concept :
Energy of photons E = hc/λ
Where,
h is Plank's constant
c is the speed of light
λ is the wavelength of photons
(i) Here, h = 6.626 × 10^-34 Js , c = 3 × 10^8 m/a
and λ = 4 × 10^-7 m .
Now,
E = 6.626 × 10^-34 × 3 × 10^8/4 × 10^-7 J
= 4.969 × 10^-19 J
We know,
1 ev = 1.602 × 10^-19 J
So, E = 4.969 × 10^-19 / 1.602 × 10^-19 ev
= 3.10 ev
(ii) According to Einstein photoelectric theory,
Kinetic energy = hv - hv₀
= 3.10 - 2.13 = 0.97 ev
(iii) Kinetic energy = 1/2mv² = 0.97 ev
1/2 × 9.11 × 10^-31 kg × v² = 0.97 × 1.602 × 10^-19J
v² = 0.97 × 1.602 × 10^-19 × 2 / 9.11 × 10^-31
= 0.341 × 10¹² m²/s²
v = 0.584 × 10^6 m/s
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