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Question: Answered & Verified by Expert
Assertion : A photon has no rest mass, yet it carries definite momentum.
Reason : Momemtum of photon is due to its energy and hence its equivalent mass.
PhysicsDual Nature of MatterAIIMSAIIMS 2009
Options:
  • A If both assertion and reason are true and reason is the correct explanation of assertion
  • B If both assertion and reason are true but reason is not the correct explanation of assertion
  • C If assertion is true but reason is false
  • D If both assertion and reason are false.
Solution:
1084 Upvotes Verified Answer
The correct answer is: If both assertion and reason are true and reason is the correct explanation of assertion
Equivalent mass of photon $(m)$ is given from equation
$E=m c^2=h v \therefore m=\frac{h v}{c^2}$
Where $E$ is energy, $m$ is mass, $c$ is speed of light, $h$ is Planck's constant, $v$ is frequency.
$\therefore \quad$ Momentum of photon $=\frac{h v}{c^2} \times c=\frac{h v}{c}$

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