The dimensions of angular momentum/ magnetic moment are

Question

The dimensions of angular momentum/ magnetic moment are (A)  [MA-1T-1]  (B)  [M-1AT-1]  (C)  [MAT-1]  (D)  [MA-1T]

Tardigrade Admin · Accepted Answer

Angular momentum =lω =[M1L2T-1] Magnetic moment = Current × Area [AL2] ∴ =( textAngular textmomentum/ textMagnetic textmoment) =([M1L2T-1]/[AL2]) =[MA-1T-1]

Q. The dimensions of angular momentum/ magnetic moment are

$[M A^{- 1} T^{- 1}]$

$[M^{- 1} A T^{- 1}]$

$[M A T^{- 1}]$

$[M A^{- 1} T]$

Angular momentum
$= l ω = [M^{1} L^{2} T^{- 1}]$
Magnetic moment = Current $\times$ Area $[A L^{2}]$
$∴$ $= \frac{Angular momentum}{Magnetic moment}$
$= \frac{[ M ^{1} L ^{2} T ^{- 1} ]}{[ A L ^{2} ]}$
$= [M A^{- 1} T^{- 1}]$

Q. The dimensions of angular momentum/ magnetic moment are

[MA−1T−1]

[M−1AT−1]

[MAT−1]

[MA−1T]

Angular momentum =lω=[M1L2T−1] Magnetic moment = Current × Area [AL2] ∴ =MagneticmomentAngularmomentum​ =[AL2][M1L2T−1]​ =[MA−1T−1]

$[M A^{- 1} T^{- 1}]$

$[M^{- 1} A T^{- 1}]$

$[M A T^{- 1}]$

$[M A^{- 1} T]$

Angular momentum
$= l ω = [M^{1} L^{2} T^{- 1}]$
Magnetic moment = Current $\times$ Area $[A L^{2}]$
$∴$ $= \frac{Angular momentum}{Magnetic moment}$
$= \frac{[ M ^{1} L ^{2} T ^{- 1} ]}{[ A L ^{2} ]}$
$= [M A^{- 1} T^{- 1}]$