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A Laser light of wavelength $660 nm$ is used to weld Retina detachment. If a Laser pulse of width $60 ms$ and power $0.5 kW$ is used, the approximate number of photons in the pulse are
[Take Planck's constant $h = 6.62 \times 10^{- 34} Js$ ]

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$10^{19}$

$10^{20}$

$1$

$10$

answer is D.

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Detailed Solution

Wavelength $λ = 660 nm = 6.6 \times 10^{- 7} m$ , Pulse width time $t = 60 ms = 6 \times 10^{- 2} s$ , Power $P = 0.5 kW = 500 W$

If number of photons in each pulse is n, then

$P = \frac{E}{t} = \frac{n h c}{λ t}$

$\Rightarrow n = \frac{P λ t}{h c}$ $= \frac{500 \times 6.6 \times 10^{- 7} \times 6 \times 10^{- 2}}{6.62 \times 10^{- 34} \times 3 \times 10^{8}}$ $\approx 10^{20}$

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