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Physics · UNITS AND MEASUREMENT
हिन्दीIn Example 1.4, if kinetic energy has dimensions \( [M L^2 T^{-2}] \), mass \( m \), and speed \( v \), which of the following kinetic energy formulas are dimensionally correct?
Correct answer · Option 4
Both (1) and (2) are dimensionally correct
Explanation
Both \( \frac{1}{2} mv^2 \) and \( \frac{3}{16} mv^2 \) have the same dimensions \( [M L^2 T^{-2}] \). Thus, both are dimensionally correct, though dimensional analysis cannot determine the dimensionless constant \( \frac{3}{16} \).
