Two sources of light emit $X$  - rays of wavelength   $1\mathrm{n}\mathrm{m}$ and visible light of wavelength $500\mathrm{n}\mathrm{m}$   , respectively. Both the sources emit light of the same power $200\mathrm{W}$   . The ratio of the number density of photons of $X$  - rays to the number density of photons of the visible light of the given wavelengths is:

<p>Power <span contenteditable="false"> <math> <mo>=</mo> </math> </span> Number of photons emitted per sec <span contenteditable="false"> <math> <mo>×</mo> </math> </span>&nbsp;Energy of 1 photon</p><p><span contenteditable="false"> <math> <mi mathvariant="normal">P</mi> <mo>=</mo> <mi mathvariant="normal">n</mi> <mo>×</mo> <mfrac> <mrow> <mrow> <mi mathvariant="normal">h</mi> <mi mathvariant="normal">c</mi> </mrow> </mrow> <mrow> <mrow> <mi>λ</mi> </mrow> </mrow> </mfrac> <mo>⇒</mo> <mi mathvariant="normal">n</mi> <mo>∝</mo> <mi>λ</mi> </math> </span><br>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p><p>&nbsp;</p>

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