Assertion: Mass of a moving photon varies inv | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The momentum of a photon is given by $p = \frac{h}{\lambda}$. Since $p = mc$ (where $m$ is the relativistic mass of the photon and $c$ is the spee

Vedclass · Accepted Answer

If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

Vedclass · Answer

(B) The momentum of a photon is given by $p = \frac{h}{\lambda}$. Since $p = mc$ (where $m$ is the relativistic mass of the photon and $c$ is the speed of light), we have $mc = \frac{h}{\lambda}$, which implies $m = \frac{h}{c\lambda}$. Thus, the mass $m$ of a moving photon is inversely proportional to its wavelength $\lambda$. The Assertion is correct.The Reason states $E = mc^2$. While this is Einstein's mass-energy equivalence relation, it describes the energy of a particle at rest or the energy equivalent of a mass. It does not explain the relationship between the mass of a photon and its wavelength. Therefore, the Reason is not the correct explanation for the Assertion.

Assertion: Mass of a moving photon varies inversely as the wavelength.
Reason: Energy of the particle $= \text{mass} \times (\text{speed of light})^2$

Similar Questions

The energy of a photon with a wavelength of $\lambda = 4000 \ \mathring{A}$ is equal to ........ Joules.

The ratio of the energy of a photon with $\lambda = 150\,nm$ to that with $\lambda = 300\,nm$ is

The eye can detect $5 \times 10^4$ photons per square metre per second of green light $(\lambda = 5000 \ \mathring{A})$ while the ear can detect $10^{-13} \ W/m^2$. The factor by which the eye is more sensitive as a power detector than the ear is close to:

The rest energy of an electron is

The velocity of a photon is proportional to (where $\nu$ is frequency):

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Assertion: Mass of a moving photon varies inversely as the wavelength.Reason: Energy of the particle $= \text{mass} \times (\text{speed of light})^2$