(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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(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

Easy

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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$1 \ J$ is equal to how many electron volt?

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$A$ stick of $1 \, m$ is moving with a velocity of $2.7 \times 10^8 \, m/s$. What is the apparent length of the stick in meters? (Given: $c = 3 \times 10^8 \, m/s$)

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$A$ bulb lamp emits light of mean wavelength of $4500 \mathring A$. The lamp is rated at $150 \text{ W}$ and $8 \%$ of the energy appears as emitted light. How many photons are emitted by the lamp per second?

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In the Compton scattering process,the incident $X$-radiation is scattered at an angle of $60^{\circ}$. The wavelength of the scattered radiation is $0.22 \ \text{Å}$. The wavelength of the incident $X$-radiation in $\text{Å}$ units is:

DifficultAP EAMCET 2002

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If $E$ and $p$ are the energy and momentum of a photon respectively,what happens if the wavelength of the photon is decreased?

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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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$1 \ J$ is equal to how many electron volt?

$A$ stick of $1 \, m$ is moving with a velocity of $2.7 \times 10^8 \, m/s$. What is the apparent length of the stick in meters? (Given: $c = 3 \times 10^8 \, m/s$)

$A$ bulb lamp emits light of mean wavelength of $4500 \mathring A$. The lamp is rated at $150 \text{ W}$ and $8 \%$ of the energy appears as emitted light. How many photons are emitted by the lamp per second?

In the Compton scattering process,the incident $X$-radiation is scattered at an angle of $60^{\circ}$. The wavelength of the scattered radiation is $0.22 \ \text{Å}$. The wavelength of the incident $X$-radiation in $\text{Å}$ units is:

If $E$ and $p$ are the energy and momentum of a photon respectively,what happens if the wavelength of the photon is decreased?

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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.