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The work function of sodium metal is 4.41 × 10-19 J. If photons of wavelength 300 nm are incident on the metal, the kinetic energy of the ejected electrons will be (h = 6.63 × 10-34 J s; c = 3 × 108 m/s) ________ × 10-21 J. (Nearest integer)
Correct answer is '222'. Can you explain this answer?
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The work function of sodium metal is 4.41 × 10-19J. If photons o...
w, work function of sodium metal = 4.41 × 10-19 J
λ, wavelength of the incident light = 300 nm = 3 × 10-7 m
According to photoelectric effect,

6.63 × 10-19 = 4.41 × 10-19 + KE
KE = 2.22 × 10-19 J = 222 × 10-21 J
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The work function of sodium metal is 4.41 × 10-19J. If photons o...
- **Given data:**
- Work function of sodium metal (Φ) = 4.41 × 10^-19 J
- Wavelength of incident photons (λ) = 300 nm = 300 × 10^-9 m
- Planck's constant (h) = 6.63 × 10^-34 J s
- Speed of light (c) = 3 × 10^8 m/s
- **Calculations:**
- Energy of incident photons (E) = hc/λ
= (6.63 × 10^-34 J s × 3 × 10^8 m/s) / (300 × 10^-9 m)
= 6.63 × 3
= 19.89 × 10^-19 J
- Kinetic energy of ejected electrons (K.E.) = E - Φ
= 19.89 × 10^-19 J - 4.41 × 10^-19 J
= 15.48 × 10^-19 J
= 1.548 × 10^-18 J
- **Final answer:**
- The kinetic energy of the ejected electrons will be approximately 1.548 × 10^-18 J, which is closest to 222 × 10^-21 J when rounded to the nearest integer.
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