A hypothetical equation is given as ρ=aP+bT2\rho = a \sqrt{P} + bT^2ρ=aP+bT2, where ρ\rhoρ is density, PPP is pressure, and TTT is temperature. The dimensions of ab\frac{a}{b}ba are:
[M−1/2^{-1/2}−1/2 L1/2^{1/2}1/2 T1^{1}1 \Theta2^{2}2]
[M1/2^{1/2}1/2 L−1/2^{-1/2}−1/2 T−1^{-1}−1 \Theta−2^{-2}−2]
[M L−3^{-3}−3 \Theta−2^{-2}−2]
[M1/2^{1/2}1/2 L−5/2^{-5/2}−5/2 T1^{1}1]
Related Questions
Length is measured in metre and time in second as usual. But a new unit of mass is so chosen that G=1. This new unit of mass is equal to
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