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JEE Main 202331 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2023 · 31 January · Morning Shift · Physics · Dual Nature of Matter

If a source of electromagnetic radiation having power 15kW produces...

If a source of electromagnetic radiation having power 15kW15kW produces 1016{10}^{16} photons per second, the radiation belongs to a part of spectrum is :

(Take Planck constant h=6×10−34Js)h = 6 \times {10}^{- 34}Js )

Options

  1. AMicro waves
  2. BUltraviolet rays
  3. CGamma rays
  4. DRadio waves

Correct answer

C. Gamma rays

Step-by-step solution

As energy of one photon is given by E=PowerPhotonfrequencyE = \dfrac{Power}{Photonfrequency}

Or, E=hν=15×1031016E = hν = \dfrac{15 \times {10}^{3}}{{10}^{16}}

So, frequency of ray is ν=15×10−136×10−34=2.5×1021Hzν = \dfrac{15 \times {10}^{- 13}}{6 \times {10}^{- 34}} = 2 . 5 \times {10}^{21}Hz.

Thus, the radiation belongs to gamma rays.

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