Units & Dimensions

JEE Main level, single correct, medium

33 of 149

Question 33 of 149

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of [MPL∘TRAS]\left[M^P L^{\circ} \mathrm{T}^{\mathrm{R}} \mathrm{A}^{\mathrm{S}}\right]. The value of P and Q are :

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Answer: (D) 0,−10,-1

Electric dipole moment (P→)=q×2ℓ(\overrightarrow{\mathrm{P}})=\mathrm{q} \times 2 \ell
Magnetic dipole moment (M→)=IA(\overrightarrow{\mathrm{M}})=\mathrm{IA}
[PM]=[LTA L2 A]=L−1 T=M0 L−1 T1 A0\left[\frac{\mathrm{P}}{\mathrm{M}}\right]=\left[\frac{\mathrm{LTA}}{\mathrm{~L}^2 \mathrm{~A}}\right]=\mathrm{L}^{-1} \mathrm{~T}=\mathrm{M}^0 \mathrm{~L}^{-1} \mathrm{~T}^1 \mathrm{~A}^0
After compering values of P&Q\mathrm{P} \& \mathrm{Q} are 0,−10,-1 Correct Answer : Option 4

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