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Units and Measurements — Physics STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 SciencePhysicsUnits and Measurements1 Mark
MCQ
The dimensions of self or mutual inductance are given as
  • A
    $\left[ L ^{-2} M ^1 T ^{-2} I ^{-2}\right]$
  • B
    $\left[ L ^2 M ^2 T ^{-2} I ^{-2}\right]$
  • ✓
    $\left[ L ^2 M ^1 T ^{-2} I ^{-2}\right]$
  • D
    $\left[ L ^2 M ^2 T ^{-2} I ^{-1}\right]$
✓

Answer

Correct option: C.
$\left[ L ^2 M ^1 T ^{-2} I ^{-2}\right]$
(c) : We know that,
$
\varepsilon=-\frac{d \phi}{d t}=-M \frac{d i}{d t} \Rightarrow M=(-) \frac{\varepsilon d t}{d i}
$
$\therefore$ Dimension of mutual inductance is
$M=\frac{\left[ ML ^2 T ^{-3} I ^{-1}\right] \times[ T ]}{[ I ]}=\left[ M ^1 L ^2 T ^{-2} I ^{-2}\right]$

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