Find the energy of a photon if (i) the frequency of radiation is 100

1.	Find the energy of a photon if (i) the frequency of radiation is 100 MHz (ii) the wavelength of radiation is 10000 Å.(h = 6.63 × 10-34 J∙s, c = 3 × 108 m/s, e = 1.6 × 10-19 J, m (electron) = 9.1 × 10-31 kg)
Answer» Data : h = 6.63 × 10^-34 J∙s, v = 100 MHz = 100 × 10⁶ Hz, λ = 10000 Å = 10⁶ m, c = 3 × 10⁸ m/s (i) The energy of a photon, E = hv = (6.63 × 10^-34)(100 × 10⁶ ) = 6.63 × 10^-26J (ii) The energy of a photon, E = \(\cfrac{hc}λ\) = \(\cfrac{(6.63\times10^{-34})(3\times10^8)}{10^{-6}}\) = 1.989 × 10^-19 J

Find the energy of a photon if (i) the frequency of radiation is 100 MHz (ii) the wavelength of radiation is 10000 Å.(h = 6.63 × 10-34 J∙s, c = 3 × 108 m/s, e = 1.6 × 10-19 J, m (electron) = 9.1 × 10-31 kg)

Answer»

Data : h = 6.63 × 10^-34 J∙s,

v = 100 MHz = 100 × 10⁶ Hz,

λ = 10000 Å = 10⁶ m,

c = 3 × 10⁸ m/s

(i) The energy of a photon, E = hv

= (6.63 × 10^-34)(100 × 10⁶ ) = 6.63 × 10^-26J

(ii) The energy of a photon, E = \(\cfrac{hc}λ\)

= \(\cfrac{(6.63\times10^{-34})(3\times10^8)}{10^{-6}}\) = 1.989 × 10^-19 J