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A neutron star with magnetic moment of m...

A neutron star with magnetic moment of magnitude m is spinning with angular velocity `omega` about its magnetic axis. The electromagnetic power P radiated by it is given by `mu_(0)^(x)m^(y)omega^(z)c^(u)` where `mu_(0)` and c are the permeability and speed of light in free space, respectively. Then

A

x = 1, y = 2, z = 4 and u =` –3`

B

x = 1, y = 2, z = 4 and u = 3

C

x = `–1`, y = 2, z = 4 and u = `–3`

D

x = `–1`, y = 2, z = 4 and u = 3

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The correct Answer is:
A
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In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, [E] and [B] stand for dimensions of electric and magnetic fields respectively, while [in_(0)] and [mu_(0)] stand for dimensions of the permittivity and permeability of free space respectively. [?] and [?] are dimensions of length and time respectively. All the quantities are given in SI units. The relation between [in_(0)] and [mu_(0)] is

In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, [E] and [B] stand for dimensions of electric and magnetic fields respectively. While [ in_(0)] and [mu_(0)] stand for dimensions of the permittivity and permeability of free space respectively. [L] and [T] are dimensions of length and time respectively. All the quantities are given in SI units. The relation between [in_(0)] " and " [mu_(0)] is :-

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