NEET-XII-Physics
37: Magnetic Properties of Matter
- #4Which 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 susceptibilitydigAnsr: c,d,a,bAns : (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[{\,\mathrm{\,MLT\,}}^{-2}\right]}{\left[\,\mathrm{\,AT\,}\right]\left[{\,\mathrm{\,LT\,}}^{-1}\right]}=\left[{\,\mathrm{\,MT\,}}^{-2}{\,\mathrm{\,A\,}}^{-1}\right]``
Dimension of magnetising field intensity H is given by,
H=`` \left[\frac{Idl}{{r}^{2}}\right]``
`` \Rightarrow ```` \frac{\left[\,\mathrm{\,AL\,}\right]}{\left[{\,\mathrm{\,L\,}}^{2}\right]}=\left[{\,\mathrm{\,AL\,}}^{-1}\right]``
Dimension of intensity of magnetisation I is also `` \left[{\,\mathrm{\,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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