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) .

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.

If E , M , J , and G , respectively , denote energy , mass , angular momentum , and gravitational constant , then EJ^(2) //M^(5) G^(2) has the dimensions of

If E,M,J and G respectively denote energy , mass angular momentum and gravitational constant then (EJ^(2))/(M^(2)G^(2)) has the dimensions of .

If E is energy M is mass, J is angular momentum and G is universal gravitational constant ,then dimensions of x=EJ^2/G^2M^5 can be that of

If E and G resp. denote energy and gravitational constant then E/G has the dimensions of