An electron with rest mass m_{0} moves with a | vedclass

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

Question

(C) According to the theory of special relativity,the relativistic mass $m$ of an object moving with velocity $v$ is given by the formula:$m = \frac{m

Vedclass · Accepted Answer

$5m_0/3$

Vedclass · Answer

(C) According to the theory of special relativity,the relativistic mass $m$ of an object moving with velocity $v$ is given by the formula:$m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}}$Given that the speed $v = 0.8 c$,we substitute this value into the equation:$m = \frac{m_0}{\sqrt{1 - \frac{(0.8c)^2}{c^2}}}$$m = \frac{m_0}{\sqrt{1 - 0.64}}$$m = \frac{m_0}{\sqrt{0.36}}$$m = \frac{m_0}{0.6}$$m = \frac{m_0}{6/10} = \frac{10}{6} m_0 = \frac{5}{3} m_0$Therefore,the mass of the electron at this speed is $\frac{5}{3} m_0$.

An electron with rest mass $m_{0}$ moves with a speed of $0.8 c$. Its mass when it moves with this speed is

Similar Questions

Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum (photon).

$A$ laser produces a beam of light of frequency $5 \times 10^{14} \,Hz$ with an output power of $33 \,mW$. The average number of photons emitted by the laser per second is (Planck's constant $h = 6.6 \times 10^{-34} \,J \,s$)

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 energy of a photon whose frequency is $10^{12} \text{ MHz}$ is:

When a photon enters glass from air,which one of the following quantities does $\underline{\text{NOT}}$ change?

Vedclass Test Series

Exam Paper Generator

Online Exam Module