OnlineCBT
Physics · UNITS AND MEASUREMENT
हिन्दीIn the equation \( P = \frac{a - t^2}{b x} \), where \( P \) is pressure, \( x \) is distance, and \( t \) is time, the dimensions of \( \frac{a}{b} \) are:
View Answer & Solution
Correct answer · Option B
\( [\text{M L}^0 \text{T}^{-2}] \)
Explanation
By principle of homogeneity, \( [a] = [t^2] = [\text{T}^2] \). From \( P = \frac{a - t^2}{b x} \), \( [b] = \frac{[\text{T}^2]}{[P][x]} = [\text{M}^{-1} \text{T}^4] \). Thus \( [a/b] = \frac{[\text{T}^2]}{[\text{M}^{-1} \text{T}^4]} = [\text{M L}^0 \text{T}^{-2}] \).
