A particle which has zero rest mass and non-z | vedclass

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

Question

(A) According to the theory of relativity,the energy $E$ and momentum $p$ of a particle are related to its rest mass $m_0$ by the equation $E^2 = (pc)

Vedclass · Accepted Answer

Equal to $c$,the speed of light in vacuum

Vedclass · Answer

(A) According to the theory of relativity,the energy $E$ and momentum $p$ of a particle are related to its rest mass $m_0$ by the equation $E^2 = (pc)^2 + (m_0c^2)^2$.For a particle with zero rest mass $(m_0 = 0)$,the equation simplifies to $E = pc$.Since $p = mv$ and $E = mc^2$ (where $m$ is the relativistic mass),we have $mc^2 = mvc$,which implies $v = c$.Therefore,any particle with zero rest mass,such as a photon,must travel at the speed of light $c$ in a vacuum.

$A$ particle which has zero rest mass and non-zero energy and momentum must travel with a speed

Similar Questions

$A$ photon of frequency $v$ has a momentum associated with it. If the speed of light is $c$,then the momentum is .......

What is called as the quantum of energy? What is its energy?

$A$ radio station broadcasts at a wavelength of $300 \ m$. If the radiating power of the transmitter is $10 \ kW$,then the number of photons emitted per second is:

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

$A$ source $S_1$ is producing $10^{15}$ photons per second of wavelength $5000 \; \mathring{A}$. Another source $S_2$ is producing $1.02 \times 10^{15}$ photons per second of wavelength $5100 \; \mathring{A}$. Then,$(\text{power of } S_2) / (\text{power of } S_1)$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module