ElectroMagnetic InductionHard

Question

Match the List-I with List-II

List-I List-II
A. Magnetic induction I. $$MLT^{- 2}{\text{ }A}^{- 2}$$
B. Magnetic flux II. $$ML^{2}{\text{ }T}^{- 2}{\text{ }A}^{- 2}$$
C. Magnetic permeability III. $$ML^{0}{\text{ }T}^{- 2}{\text{ }A}^{- 1}$$
D. Self inductance IV. $$ML^{2}{\text{ }T}^{- 2}{\text{ }A}^{- 1}$$

Choose the correct answer from the options given below:

Options

A.A-IV,B-III,C-I,D-II
B.A-III,B-IV,C-II,D-I
C.A-I,B-III,C-IV,D-II
D.A-III,B-IV,C-I,D-II

Solution

Magnetic induction

$${F = qvB }{\lbrack B\rbrack = \left\lbrack \frac{F}{qV} \right\rbrack }{\lbrack B\rbrack = \left\lbrack {MT}^{- 2}{\text{ }A}^{- 1} \right\rbrack }$$Magnetic Flux ( $\phi$ )

$\phi = (B)$. (Area)

$$\lbrack\phi\rbrack = \left\lbrack {ML}^{2}{\text{ }T}^{- 2}{\text{ }A}^{- 1} \right\rbrack $$Magnetic Permeability

$$\lbrack\mu\rbrack = \left\lbrack {MLT}^{- 2}{\text{ }A}^{- 2} \right\rbrack $$Self inductance

Using $U = \frac{1}{2}{LI}^{2}$

[Self inductance] $= \left\lbrack {ML}^{2}{\text{ }T}^{- 2}{\text{ }A}^{- 1} \right\rbrack$

A - III, B - IV, C - I, D – II

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