A 100 W sodium lamp radiates energy uniformly in all directions. The lamp is located at the centre of a large sphere that absorbs all the sodium light which is incident on it. The wavelength of the sodium light is 589 nm. At what rate are the photons delivered to the sphere?

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7×10²⁰ Photons/sec

5×10²⁰Photons/sec

3×10²⁰ Photons/sec

9×10²⁰ Photons/sec

answer is A.

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Detailed Solution

$P = \frac{{nE}}{t} = \frac{{nhc/\lambda }}{t}$

$\therefore \frac{n}{t} = \frac{{p\lambda }}{{hc}} = \frac{{100 \times 589 \times {{10}^{ - 9}}}}{{6.6 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}$

$\therefore \frac{n}{t} = 3 \times {10^{20}} Photons/sec.$

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