Practice question
Question
Check the dimensional consistency of v = sqrtP/rho, where v is velocity, P is pressure, and rho is density.
Explanation
LHS: [v] = [L T^{-1] . RHS: [P / rho] = [M L^{-1 T^{-2] / [M L^{-3] = [L² T^{-2] . sqrt[L² T^{-2] = [L T^{-1], consistent. This follows from NCERT principle where the relation explains the outcome clearly for students in simple steps.
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