A) \[{{n}_{R}}<{{n}_{B}}\]
B) \[{{n}_{R}}={{n}_{B}}\]
C) \[{{n}_{R}}>{{n}_{B}}\]
D) Data is insufficient
Correct Answer: C
Solution :
Idea This question is based on the power emitted by the light sources. Energy of a photon is\[E=\frac{hc}{\lambda }=hv\] If\[N\]be the number of photons emitted/s, then Power\[=Nhv\] Let\[{{n}_{R}}\]and\[{{n}_{B}}\]be the number of photons emitted by red bulb and blue bulb per second. As power of both bulbs is same, so \[{{n}_{R}}h{{v}_{R}}={{n}_{B}}h{{v}_{B}}\] \[\Rightarrow \]\[\frac{{{n}_{R}}}{{{n}_{B}}}=\frac{{{v}_{B}}}{{{v}_{R}}}\]as\[{{v}_{B}}>{{v}_{R}}\] So, \[{{n}_{R}}>{{n}_{B}}\] In time t, we have\[{{n}_{R}}\times t>{{n}_{B}}\times t\] or\[{{n}_{R}}>{{n}_{B}}\] TEST Edge Similar questions based on intensity (energy emitted per second by per unit area) of radiation could be asked.
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