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JEE Main 202124 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
24 February
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2021 · 24 February · Morning Shift · Physics · Dual Nature of Matter

Given below are two statements: Statement I: Two photons having...

Given below are two statements:

Statement I:I: Two photons having equal linear momenta have equal wavelengths.

Statement II:II: If the wavelength of the photon is decreased, then the momentum and energy of a photon will also decrease.

In the light of the above statements, choose the correct answer from the options given below.

Options

  1. ABoth Statement II and Statement IIII are false
  2. BBoth Statement II and Statement IIII are true
  3. CStatement II is true but Statement IIII is false
  4. DStatement II is false but Statement IIII is true

Correct answer

C. Statement II is true but Statement IIII is false

Step-by-step solution

If linear momentum are equal then wavelength also equal.

The momentum pp and energy EE of a photon is given by,

p=hλ,E=hcλp = \dfrac{h}{\lambda}, E = \dfrac{hc}{\lambda}; where cc is speed of light and hh is Plank's constant.

On decreasing wavelength, momentum and energy of photon increases.

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