Advertisements
Advertisements
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
Advertisements
Solution
(c) Magnetising field intensity H and intensity of magnetisation I
(d) Longitudinal strain and magnetic susceptibility
Dimension of Magnetic field B is given by,
F=Bqv
\[\Rightarrow B = \frac{F}{qv}\]
\[\Rightarrow\frac{\left[ {MLT}^{- 2} \right]}{\left[ AT \right]\left[ {LT}^{- 1} \right]} = \left[ {MT}^{- 2} A^{- 1} \right]\]
Dimension of magnetising field intensity H is given by,
H = \[\left[ \frac{Idl}{r^2} \right]\]
\[\Rightarrow\frac{\left[ AL \right]}{\left[ L^2 \right]} = \left[ {AL}^{- 1} \right]\]
Dimension of intensity of magnetisation I is also \[\left[ {AL}^{- 1} \right]\] as both Magnetising field intensity H and intensity of magnetisation I are measured in Am-1.
Hence, option (a) and option (b) is incorrect. Option (c) is correct.
As Longitudinal strain and magnetic susceptibility both are dimensionless quantity. Hence, option (d) is correct.
APPEARS IN
RELATED QUESTIONS
What is Magnetization?
The magnetic moment of a magnet of dimensions 5 cm × 2.5 cm × 1.25 cm is 3 Am2. Calculate the intensity of magnetization.
A long, straight wire carries a current i. The magnetising field intensity H is measured at a point P close to the wire. A long, cylindrical iron rod is brought close to the wire, so that the point P is at the centre of the rod. The value of H at P will ______________ .
The magnetic field inside a long solenoid of 50 turns cm−1 is increased from 2.5 × 10−3 T to 2.5 T when an iron core of cross-sectional area 4 cm2 is inserted into it. Find (a) the current in the solenoid (b) the magnetisation I of the core and (c) the pole strength developed in the core.
Answer the following question.
Define the term "Intensity" in the photon picture of electromagnetic radiation.
When a plate of magnetic material of size 10 cm × 0.5 cm × 0.2 cm (length, breath, and thickness respectively) is located in a magnetizing field of 0.5 × 104 A/m-1, then a magnetic moment of 0.5 Am2 is induced in it. Find the magnetic induction in the plate.
A magnetic material of susceptibility 3 × 10−4, and magnetic intensity is 4 × 10−4 Am−1. Then The magnetization in the units of Am−1 is ______.
An electron moves in a circular orbit with uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is [µ0 = permeability of free space, e = electronic charge]
For an isotropic medium B, µ, H and M, are related as (where B, µ0, H and Mz have their usual meaning in the context of magnetic material) ____________.
An iron rod of cross-sectional area 6 sq. cm is placed with its length parallel to a magnetic field of intensity 1200 Alm. The flux through the rod is 60 x 10-4 Wb. The permeability of the rod is ______.
An iron rod is placed parallel to magnetic field of intensity 4000 A/m. The magnetic flux through the rod is 8 x 10-4 Wb and its cross-sectional area is 4 cm2 . The magnetic permeability of the rod in Wb/A - m is ____________.
The magnetic field (B) inside a long solenoid having 'n', turns per unit length and carrying current 'I' when iron core is kept in it is (`mu_0` = permeability of vacuum, `chi` = magnetic susceptibility) ____________.
A magnetizing field of 5000 A/m produces a magnetic flux of 4 x 10-5 Wb in an iron rod of cross-sectional area 0.4 cm2. The permeability of the rod in Wb/A-m, is ______.
The dimensions of the relative magnetic permeability of the substance are ______.
What is the magnetization of a bar magnet having length 5 cm and area of cross section 2 cm2? (M = 1 Am2)
The magnetic moment produced in a sample of 2 gram is 8 x 10-7 A/m2. lf its density is 4g/cm3, then the magnetization of the sample is ____________.
Magnetic lines of force due to a bar magnet do not intersect because ______.
The relation between relative permeability (`mu_r`) and magnetic susceptibility (`chi_m`) is:______.
