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A laser produces monochromatic light of frequency $\nu = 6.0\times 10^{14}\,\text{Hz}$. The energy carried by each photon of this light is closest to which value? (Take $h = 6.63\times 10^{-34}\,\text{J\,s}$.)
A$2.5\times 10^{-19}\,\text{J}$
B$4.0\times 10^{-19}\,\text{J}$
C$6.6\times 10^{-19}\,\text{J}$
D$1.1\times 10^{-18}\,\text{J}$
Answer & Solution
Correct answer: B. $4.0\times 10^{-19}\,\text{J}$
1. A single photon carries energy $E = h\nu$.
2. Substitute $h = 6.63\times 10^{-34}\,\text{J\,s}$ and $\nu = 6.0\times 10^{14}\,\text{Hz}$.
3. $E = (6.63\times 10^{-34})(6.0\times 10^{14}) = 39.78\times 10^{-20} = 3.98\times 10^{-19}\,\text{J}$.
4. Rounded to two significant figures this is $4.0\times 10^{-19}\,\text{J}$.
5. Option A drops a factor; option C uses an incorrect Planck constant; option D doubles the energy, which is a common arithmetic slip.
_Source: NCERT Class 12 Physics Part 2, Ch 11, Example 11.1, p. 10._
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