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Physics · 2025 · 2 marks
Dual Nature of Radiation and MatterParticle Nature of Light: The Photon2 marksApplyvery short answer
CBSE 2025 · Region 6 · Set 2 · Q19
A laser beam of wavelength 500 nm and power 5 mW strikes normally on a perfectly reflecting surface of area 1 mm^2 of a body. It rebounds back from…
A laser beam of wavelength $\displaystyle 500$ nm and power $\displaystyle 5$ mW strikes normally on a perfectly reflecting surface of area $\displaystyle 1 \mathrm{~mm}^{2}$ of a body. It rebounds back from the surface. Find the force exerted by the laser beam on the body.
Marking-scheme solution
No. of photons ejected per second \(\displaystyle =\frac{P}{E}\)
\[=\frac{P}{\left(\dfrac{h c}{\lambda}\right)}
\] Momentum of photon, \(\displaystyle p=\frac{h}{\lambda}\) Force exerted by laser beam
\[\begin{aligned}
F & =2 \times \frac{P}{\left(\dfrac{h c}{\lambda}\right)} \times \frac{h}{\lambda} \\
& =\frac{2 P}{c} \\
& =\frac{2 \times 5 \times 10^{-3}}{3 \times 10^{8}} \\
F & =3.33 \times 10^{-11} \mathrm{~N}
\end{aligned}
\]
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