If the speed of light c(=3xx10^(8) m//s), Planck's contant h(=6.6xx10^(-34) J-s) and gravitational constant G(=6.67xx10^(-11)MKS" units") are chosen as the fundamental quantities, find out the dimensions and value of units of (a) mass, and (b) time in this system.

If the speed of light c(=3xx10^(8) m//s), Planck's contant h(=6.6xx10^

1.	If the speed of light c(=3xx10^(8) m//s), Planck's contant h(=6.6xx10^(-34) J-s) and gravitational constant G(=6.67xx10^(-11)MKS" units") are chosen as the fundamental quantities, find out the dimensions and value of units of (a) mass, and (b) time in this system.
Answer» Solution :`Q=f(a, c, H)` `[M]=[M^(-1)L^(3)T^(-2)]^(x)[LT^(-1)]^(y)[ML^(2)T^(-1)]^(Z)` Equating the EXPONENTS of similar QUANTITIES `-x+z=1` `3x+y+2z=0` `-2x-y-z=0` `x=-1/2"",""y=1/2"",""z=1/2` `Q = ((cn)/a)^(1//2)`