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11.Dual Nature of Radiation and matter
medium
If $h$ is Planck’s constant is $SI$ system, the momentum of a photon of wavelength $0.01\, \mathring A $ is:
A$10^{-2} \,h$
B$h$
C$10^2\, h$
D$10^{12} \,h$
Solution
Momentum of photo, $p=\frac{E}{c}=\frac{h \nu}{c}$ where $\mathrm{E}$ is the energy of a photon and $\mathrm{c}$ is the velocity of light.
$\therefore p=\frac{h c}{c \lambda} \quad\left[\because \nu=\frac{c}{\lambda}\right]$
$p=\frac{h}{\lambda}=\frac{h}{0.01 \times 10^{-10}}=10^{12} h$
$\therefore p=\frac{h c}{c \lambda} \quad\left[\because \nu=\frac{c}{\lambda}\right]$
$p=\frac{h}{\lambda}=\frac{h}{0.01 \times 10^{-10}}=10^{12} h$
Standard 12
Physics
