First slide

Electromagnetic radiation - Dual nature of radiation and matter

Question

A photon of wavelength 4400 $Å$ is passing through vacuum. The effective mass and momentum of the photon are respectively

Easy

A

$5 \times 10^{- 36} kg, 1.5 \times 10^{- 27} kg - m / s$
B

$5 \times 10^{- 35} kg, 1.5 \times 10^{- 26} kg - m / s$
C

$Zero, 1.5 \times 10^{- 26} kg - m / s$
D

$5 \times 10^{- 36} kg, 1.67 \times 10^{- 43} kg - m / s$

Solution

$\begin{array}{l} p = \frac{h}{λ} = \frac{6.6 \times 10^{- 34}}{4400 \times 10^{- 10}} = 1.5 \times 10^{- 27} kg \cdot m / s \\ and mass m = \frac{p}{c} = \frac{1.5 \times 10^{- 27}}{3 \times 10^{8}} = 5 \times 10^{- 36} kg \end{array}$

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