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JEE Main202124 Feb 2021Morning ShiftPhysicsDual Nature of MatterActual

Given below are two statements: Statement I : Two photons having equal linear momenta have equal wavelengths. Statement 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 I and Statement II are false
  2. BBoth Statement I and Statement II are true
  3. CStatement I is true but Statement II is false
  4. DStatement I is false but Statement II is true

Correct answer

C. Statement I is true but Statement II is false

Step-by-step solution

If linear momentum are equal then wavelength also equal. The momentum p and energy E of a photon is given by, p = h λ ,   E = h c λ ; where c is speed of light and h is Plank's constant. On decreasing wavelength, momentum and energy of photon increases.

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