If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity `(1)/(4pi epsilon_(0)) (|e|^(2))/(hc)` has dimensions of :

Find the dimension of (1)/((4pi)epsilon_(0))(e^(2))/(hc))

The dimensions of (1)/(epsilon_(0))(e^(2))/(hc) are

If e, in_(0) h and c respectively present electric charge, permittivitty of free space, Planck's constant and speed of light then (e^(2))/(in_(0) hc) has the dimensions of

If e, in_0, h and c respectively represent electric, charge, permittivity of free space, Planck's constant and speed of light then (e^2)/(in_0 hc) has the dimensions of a) angle b) relative density c) strain d) current

If electronic charge e, electron mass m, speed of light in vacuum c and Planck's constant h are taken as fundamental quantities, the permeability of vacuum mu_(0) can be expressed in units 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 electric charge e, electron's mass m, speed of light in vaccum c and Planck's constant h are taken as fundamental quantities, the permeability of vaccum mu_(0) can be expressed in units of :

Dimensions of ohm are same as that of (where h is Planck's constant and e is charge)