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Question: Answered & Verified by Expert
If frequency of a photon is $6 \times 10^{14} \mathrm{~Hz}$, then find its wavelength.
[Take, speed of light, $\mathrm{c}=3 \times 10^8 \mathrm{~m} / \mathrm{s}$ ]
PhysicsDual Nature of MatterJIPMERJIPMER 2019
Options:
  • A $500 Å$
  • B $500 nm$
  • C $200 Å$
  • D $200 nm$
Solution:
1360 Upvotes Verified Answer
The correct answer is: $500 nm$
Given, Frequency of photon $(v)=6 \times 10^{14} \mathrm{~Hz}$
Speed of light $(\mathrm{c})=3 \times 10^8 \mathrm{~m} / \mathrm{s}$
$\therefore$ Wavelength of photon $\lambda=\frac{\mathrm{c}}{\mathrm{v}}$
$=\frac{3 \times 10^8}{6 \times 10^{14}}=0.5 \times 10^{-6}=500 \times 10^{-9}=500 \mathrm{~nm}$

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