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प्रश्न
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
उत्तर
(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.
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संबंधित प्रश्न
State formula and S.I. unit of Magnetization.
Define Magnetic intensity.
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 iron rod is placed parallel to magnetic field of intensity 2000 A/m. The magnetic flux through the rod is 6 × 10−4 Wb and its cross-sectional area is 3cm2. The magnetic permeability of the rod in `"Wb"/("A" - "m")` is ____________.
A solenoid has core of a material with relative permeability 500 and its windings carry a current of 2 A. The number of turns of the solenoid is 500 per metre. The magnetization of the material is ______.
Coercivity of a magnet where the ferromagnet gets completely demagnetized is 6 x 103 Am-1. The minimum current required to be passed in a solenoid having 2000 turns per metre, so that the magnet gets completely demagnetized when placed inside the solenoid is ____________.
A bar magnet has coercivity 6 x 103 Am-1. It is desired to demagnetise it by inserting it inside a solenoid 10 cm long and having 40 turns. The current that should be sent through the solenoid 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 ______.
A cylindrical magnetic rod has length 5 cm and diameter 1 cm. It has uniform magnetization `5.3 xx 10^3 "A"/"m"^3`. Its net magnetic dipole moment is nearly `(pi = 22/7)`.
If Mz = magnetization of a paramagnetic sample, B external magnetic field, T = absolute temperature, C = curie constant then according to Curie's law in magnetism, the correct relation is ______.
The magnetic susceptibility of paramagnetic materials is ____________.
A particle of charge 'q' and mass 'm' moves in a circular orbit of radius 'r' with angular speed `omega`. The ratio of the magnitude of its magnetic moment to that of its angular momentum is ____________.
The variation of intensity of magnetization (I) and applied magnetic field intensity (H) for three magnetic materials A, B, C are shown in the graph. The material A is ____________.
Find the intensity of magnetization of a magnet of moment 4 Am2 which weighs 50 gram. (Density of the material of a magnet = 5000 kg/m3)
What is magnetization?
State SI unit of Magnetization.
