(A) According to the theory of relativity,the energy of a particle is given by $E^2 = (pc)^2 + (m_0c^2)^2$.For a photon,the rest mass $m_0$ is $0$.The

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If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

(A) According to the theory of relativity,the energy of a particle is given by $E^2 = (pc)^2 + (m_0c^2)^2$.For a photon,the rest mass $m_0$ is $0$.Therefore,$E^2 = (pc)^2$,which simplifies to $E = pc$ or $p = E/c$.This relationship is derived specifically from the particle nature of the photon,which allows it to possess momentum despite having no rest mass.Thus,the Assertion is correct,and the Reason is the correct explanation for the Assertion.

Class 12 Physics Dual Nature of Radiation and matter Particle Nature of Light : Photon

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Assertion: The energy $(E)$ and momentum $(p)$ of a photon are related by $p = E/c$.
Reason: The photon behaves like a particle.

AIIMS 2005 All AIIMS

A
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
B
If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
C
If the Assertion is correct but Reason is incorrect.
D
If both the Assertion and Reason are incorrect.

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Dual Nature of Radiation and matter

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Particle Nature of Light : Photon

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Assertion: The energy $(E)$ and momentum $(p)$ of a photon are related by $p = E/c$.Reason: The photon behaves like a particle.

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$A$ scientist claims to have a perfect technique in which he can spontaneously convert an electron completely into energy in the laboratory without any other material required. What is the conclusion about this claim from our current understanding of physics?

$A$ Laser light of wavelength $660\,nm$ is used to weld Retina detachment. If a Laser pulse of width $60\,ms$ and power $0.5\,kW$ is used,the approximate number of photons in the pulse are: [Take Planck's constant $h = 6.62 \times 10^{-34}\,Js$]

If the energy of a photon corresponding to a wavelength of $6000 \mathring A$ is $3.32 \times 10^{-19} \ J$,the photon energy for a wavelength of $4000 \mathring A$ will be ............ $eV$.

$A$ parallel beam of light of wavelength $900 \, nm$ and intensity $100 \, W/m^2$ is incident on a surface perpendicular to the beam. The number of photons crossing $1 \, cm^2$ area perpendicular to the beam in one second is:

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Assertion: The energy $(E)$ and momentum $(p)$ of a photon are related by $p = E/c$.
Reason: The photon behaves like a particle.