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JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Electromagnetic Waves

JEE Main · Physics · Electromagnetic Waves

An electromaghetic radiation has an energy 14 . 4keV . To which...

An electromaghetic radiation has an energy 14.4keV14 . 4keV. To which region of the electromagnetic spectrum it belongs

Options

  1. AInfrared
  2. BVisible
  3. CUltraviolet
  4. DXX -ray

Correct answer

D. XX -ray

Step-by-step solution

Recall the formula of energy,

E=hcλ=14.4×1000×1.6E = \dfrac{hc}{λ} =14 . 4 \times1000 \times1 . 6\times {10}^{- 19}J⇒hcλ=6.6×10−34×3×108λ=14.4×1000×1.6J ⇒ \dfrac{hc}{λ} = \dfrac{6 . 6 \times {10}^{- 34} \times 3 \times {10}^{8}}{λ} =14 . 4 \times1000 \times1 . 6\times {10}^{- 19}J⇒λ=6.6×10−34×3×10814.4×1000×1.6×10−19J=0.859J ⇒ \lambda = \dfrac{6 . 6 \times {10}^{- 34} \times 3 \times {10}^{8}}{14 . 4 \times 1000 \times 1 . 6 \times {10}^{- 19}J} =0 . 859\times {10}^{- 10}m ⇒ \lambda \approx1\overset{∘}{A} \left(\text{X-rays}\right)

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