Question 61: Units , Dimensions and Error Analysis

Question

Match List - I with List - II

List - I

List - II

(A)
Permeability of free space
(I)
$\left[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2}\right]$

(B)
Magnetic field
(II)
$\left[\mathrm{M} \mathrm{T}^{-2} \mathrm{~A}^{-1}\right]$

(C)
Magnetic moment
(III)
$\left[\mathrm{M} \mathrm{L} \mathrm{T}^{-2} \mathrm{~A}^{-2}\right]$

(D)
Torsional constant
(IV)
$\left[\mathrm{L}^2 \mathrm{~A}\right]$

Choose the correct answer from the options given below :

Accepted Answer

The correct matching is:
(A) Permeability of free space has dimensions
$$[MLT^{-2}A^{-2}]$$
which corresponds to entry
(III)
.
(B) Magnetic field has dimensions
$$[MT^{-2}A^{-1}]$$
which corresponds to entry
(II)
.
(C) Magnetic moment in SI units is expressed in Ampere-square meters, i.e.,
$$[L^2A]$$
which corresponds to entry
(IV)
.
(D) Torsional constant (torque per unit angular displacement) has dimensions
$$[ML^2T^{-2}]$$
which corresponds to entry
(I)
.
Thus, the correct answer is:
Option A: (A)-(III), (B)-(II), (C)-(IV), (D)-(I)

Answer

(A)-(III), (B)-(II), (C)-(IV), (D)-(I)

Answer

$(\mathrm{A})-(\mathrm{I}),(\mathrm{B})-(\mathrm{IV}),(\mathrm{C})-(\mathrm{II}),(\mathrm{D})-(\mathrm{III})$

Answer

$(\mathrm{A})-(\mathrm{II}),(\mathrm{B})-(\mathrm{I}),(\mathrm{C})-(\mathrm{III}),(\mathrm{D})-(\mathrm{IV})$

Answer

(A)-(IV), (B)-(III), (C)-(I), (D)-(II)

Units , Dimensions and Error Analysis

Choose the correct answer: