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

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

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 .

The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant (h) is :

State Newton's law of gravitation. Hence define universal gravitational constant. Give the value and dimensions of G.