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  4. The number of photons (λ=6630 mathringA) that strike per second on a totally reflecting screen (as shown in figure), so that a force of 1 N is exerted on the screen, is approximately

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Q. The number of photons $(\lambda=6630\, \mathring{A})$ that strike per second on a totally reflecting screen (as shown in figure), so that a force of $1\, N$ is exerted on the screen, is approximatelyPhysics Question Image

Dual Nature of Radiation and Matter

Solution:

$F=\frac{d p}{d t} \Rightarrow F=\frac{(2 p \sin \theta)}{\Delta t}$
$\Rightarrow F=2 n p\, \sin \theta[n=$ number of photon $]$
$\Rightarrow 1\, N=2(n) \frac{h}{\lambda} \sin 30^{\circ}$
$\Rightarrow n=10^{27}$