[" 5."E,m,1" and "G" denote energy,mass,angular momentum and gravitational constant "],[" respectively.Determine the dimensions of "EL^(2)/m^(5)G^(2)]

E, m, L, G denote energy mass, angular momentum & gravitation constant respectively. The dimensions of (EL^(2))/(m^(5)G^(2)) will be that of :

(a) In the formula X=3YZ^(2) , X and Z have dimensions of capcitnce and magnetic inlduction, respectively. What are the dimensions of Y in MKSQ system? (b) A qunatity X is given by epsilon_(0) L ((Delta)V)/((Delta)r) , where epsilon_(0) is the permittivity of free space, L is a lenght, DeltaV is a potential difference and Deltat is a time interval. Find the dimensions of X . (c) If E,M,J and G denote energy , mass , angular momentum and gravitational constant, respectively. find dimensons of (E J^(2))/(M^(5) G^(2)) (d) If e,h,c and epsilon_(0) are electronic charge, Planck 's constant speed of light and permittivity of free space. Find the dimensions of (e^(2))/(2epsilon_(0)hc) .

(a) In the formula X=3YZ^(2) , X and Z have dimensions of capcitnce and magnetic inlduction, respectively. What are the dimensions of Y in MKSQ system? (b) A qunatity X is given by epsilon_(0) L ((Delta)V)/((Delta)r) , where epsilon_(0) is the permittivity of free space, L is a lenght, DeltaV is a potential difference and Deltat is a time interval. Find the dimensions of X . (c) If E,M,J and G denote energy , mass , angular momentum and gravitational constant, respectively. find dimensons of (E J^(2))/(M^(5) G^(2)) (d) If e,h,c and epsilon_(0) are electronic charge, Planck 's constant speed of light and permittivity of free space. Find the dimensions of (e^(2))/(2epsilon_(0)hc) .

If E, M, L and G denote energy, mass, angular momentum and gravitational constant repectively then the quantity (E^(2)L^(2)//M^(5)G^(2)) has the dimensions of :-

E,m,L and G denote energy, mass, angular momentum and gravititional constant respectively, the quantity (E.L)/(m^(5)G^(2)) has the dimensions of :

If E, M, L and G denote energy, mass, angular momentum and gravitational constant repectively then the quantity (E^(2)L^(2)//M^(5)G%(2)) has the dimensions of :-

In the expression P =E I^2 m^(-5) G^9(-2), E, m, I and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity.

In the expression P =E L^2 m^(-5) G^(-2), E, m, L and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless quantity.