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प्रश्न
When a rod moves at a relativistic speed v, its mass ________________ .
विकल्प
must increase by a factor of γ
may remain unchanged
may increase by a factor other than γ
may decrease
उत्तर
must increase by a factor of γ
If a rod is moving at a relativistic speed v, its mass is given by
\[m = \gamma m_o = \frac{m_o}{\sqrt{1 - \frac{v^2}{c^2}}}\]
Here,
\[\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\]
Thus, its mass must increase by a factor of `gamma.`
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