Question 47: Units , Dimensions and Error Analysis

Question

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

Accepted Answer

Electric dipole moment $(\overrightarrow{\mathrm{P}})=\mathrm{q} 	imes 2 \ell$
Magnetic dipole moment $(\overrightarrow{\mathrm{M}})=\mathrm{IA}$
$$\left[\frac{\mathrm{P}}{\mathrm{M}}ight]=\left[\frac{\mathrm{LTA}}{\mathrm{~L}^2 \mathrm{~A}}ight]=\mathrm{L}^{-1} \mathrm{~T}=\mathrm{M}^0 \mathrm{~L}^{-1} \mathrm{~T}^1 \mathrm{~A}^0$$
After compering values of $\mathrm{P} \& \mathrm{Q}$ are $0,-1$
Correct Answer : Option 4

Answer

$-1,0$

Answer

$0,-1$

Answer

$-1,1$

Answer

$1,-1$

Units , Dimensions and Error Analysis

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

Choose the correct answer: