In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of []. The value of P and Q are: [2025]

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Solution

Q.
In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of [ $M^{P} L^{Q} T^{R} A^{S}$ ]. The value of P and Q are: [2025]

1 –1, 0

2 –1, 1

3 1, –1

4 0, –1

Ans.
(4)

Electric dipole moment $(\vec{P}) = q \times 2 l$

Magnetic dipole moment $= (\vec{M}) = I A$

$[\frac{P}{M}] = [\frac{L T A}{L^{2} A}] = L^{- 1} T = M^{0} L^{- 1} T^{1} A^{0}$

After comparing values of P and Q are 0, –1.

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