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Physics · UNITS AND MEASUREMENT
हिन्दीIn Einstein's mass-speed relation, a student correctly writes \( m = \frac{m_0}{(1 - v^2/x)^{1/2}} \) but forgets the position of speed of light \( c \). By dimensional analysis, the correct form of \( x \) must be:
Correct answer · Option 2
\( c^2 \)
Explanation
The ratio \( \frac{v^2}{x} \) must be dimensionless. Since \( [v^2] = [\text{L}^2 \text{T}^{-2}] \), \( x \) must have dimensions of speed squared, i.e., \( x = c^2 \).
