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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
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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
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(b) Diamagnetism results from the partial alignment of permanent magnetic moment.
(c) The magnetising field intensity, H, is always zero in free space.
(d) The magnetic field of induced magnetic moment is opposite the applied field.
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