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
A pressure of 106{10^6}106 dyne cm−2{\rm{c}}{{\rm{m}}^{ - 2}}cm−2 is equivalent to
105N m−2{10^5}{\rm{N\;}}{{\rm{m}}^{ - 2}}105Nm−2
104 N m−2{10^4}{\rm{\;N\;}}{{\rm{m}}^{ - 2}}104Nm−2
106N m−2{10^6}{\rm{N\;}}{{\rm{m}}^{ - 2}}106Nm−2
107N m−2{10^7}{\rm{N\;}}{{\rm{m}}^{ - 2}}107Nm−2
