Gujarati
11.Dual Nature of Radiation and matter
medium

A photon of wavelength $6630 \  Å$ is incident on a totally reflecting surface. The momentum delivered by the photon is equal to

A

$6.63 × 10^{-27} kg-m/sec$

B

$2 ×10^{-27} kg-m/sec$

C

$10^{-27} kg-m/sec$

D

None of these

Solution

(b)The momentum of the incident radiation is given as $p = \frac{h}{\lambda }$.

When the light is totally reflected normal to the surface the direction of the ray is reversed.

That means it reverses the direction of it’s momentum without changing it’s magnitude

$\therefore \Delta p = 2p = \frac{{2h}}{\lambda } = \frac{{2 \times 6.6 \times {{10}^{ – 34}}}}{{6630 \times {{10}^{ – 10}}}}= 2 × 10^{-27} kg-m/sec.$

Standard 12
Physics

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