Question

Which of the following pairs has quantities of the same dimensions?
(a) Magnetic field B and magnetising field intensity H
(b) Magnetic field B and intensity of magnetisation I
(c) Magnetising field intensity H and intensity of magnetisation I
(d) Longitudinal strain and magnetic susceptibility

Answer 1

Answer:Option C and D

Explanation: dimension of magnetic field B is [MT^-2A^-1]

Dimension of magnetising field intensity H is [AL^-1]

Dimension of intensity of magnetisation I is [AL^-1]

Longitudinal strain and magnetic susceptibility are dimensionless quantifies

As a result option 'C's and 'D's are correct

Answer 2

Pairs has quantities of the same dimensions are :

1. Magnetic field, B

F = q(v×B)

= qvBsin( theta )

B = F / qvsin( theta )

But theta is dimensionless

Therefore, Dimension of magnetic field is :

B = [ MLT^-2 ] / [ LT^-1 ] [ AT ]

= [ MT^-2A^-1]

2. Magnetizing field intensity, H

H = pole strength / area of magnetized material

H = [ L^-1A]

3. Intensity of magnetization, I

I = magnetic moment / volume

I = [ L^-1A]

4. Longitudinal strain is dimensionless

5. Magnetic susceptibility is also dimensionless

Hence correct option is C and D