The velocity of a body of rest mass $m_o$ is $\frac{\sqrt{3}}{2} c$ (Where $\mathrm{c}$ is the velocity of light in vacuum). The mass of this body is

Question

The velocity of a body of rest mass $m_o$ is $\frac{\sqrt{3}}{2} c$ (Where $\mathrm{c}$ is the velocity of light in vacuum). The mass of this body is, $\left(\frac{\sqrt{3}}{2}\right) \mathrm{m}_{\mathrm{o}}$, $\left(\frac{1}{2}\right) \mathrm{m}_{\mathrm{o}}$, $2 \mathrm{~m}_0$, $\left(\frac{2}{\sqrt{3}}\right) \mathrm{m}_{\mathrm{o}}$

MARKS App · Accepted Answer

$\mathrm{m}=\frac{\mathrm{m}_{\mathrm{o}}}{\left(1-\frac{\mathrm{v}^2}{\mathrm{c}^2}\right)^{1 / 2}}=\frac{\mathrm{m}_{\mathrm{o}}}{(1-3 / 4)^{1 / 2}}=2 \mathrm{~m}_0$

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