A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation falls on the surface of sodium, “x × 1020” electrons are ejected per second. Assume that wavelength 400 nm is sufficient for ejection of electron from the surface of sodium metal. The value of “x” is ________ . (Nearest integer) h=6.626×10−34Js

=100010=100JEnergy required to eject electron =hcλ =6.626×10−34400×10−9×3×108 Number of electrons ejected =1006.626×10−34×3×108400×10−9 =2000 X 1017=2 X 1020

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A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation falls on the surface of sodium, “x × 10²⁰” electrons are ejected per second. Assume that wavelength 400 nm is sufficient for ejection of electron from the surface of sodium metal. The value of “x” is ________ . (Nearest integer) $(h = 6 .626 \times 10^{- 34} Js)$

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Detailed Solution

$= \frac{1000}{10} = 100 J$
Energy required to eject electron $= \frac{hc}{λ}$ $= \frac{6 .626 \times 10^{- 34}}{400 \times 10^{- 9}} \times 3 \times 10^{8}$