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Magnetic Field ,Permeability of free space, Magnetic flux and self inductance - (Concept)
1) Magnetic Field (B)
Dimension- $M^1 L^0 T^{-2} A^{-1}$
Unit- $\frac{\text { newton }}{\text { ampere }- \text { metre }}$ or $\frac{\text { volt }- \text { second }}{\text { metre }^2}$
2)Permeability of free space
The dimension of permeability of free space $\left(\mu_o\right)-M^1 L^1 T^{-2} A^{-2}$
Sl unit- $\frac{\text { newton }}{\text { ampere }}$ or $\frac{\text { henry }}{\text { metre }}$
3) Magnetic flux ( $\varphi$ )
Dimension- $M L^2 T^{-2} A^{-1}$
Unit- Weber or Volt-second
4) Coefficient of self-induction (L)
Dimension- $M L^2 T^{-2} A^{-2}$
Unit- Henry
| Exam | Chapter |
| JEE MAIN | Physics and Measurement |
Which of the following units denotes the dimensions ML2/Q2, where Q denotes the electric charge?
| A. |
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| B. |
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| C. |
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| D. |
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Dimension formula is same as
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The dimension of magnetic field in M, L, T and C (coulomb) is given as:
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| D. |
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Dimensions of , where symbols have their usual meaning, are
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From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is :
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| D. |
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In terms of resistance R and time T, the dimensions of ratio of the permeability
and permittivity
is :
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In the formula $X=5 Y Z^2, X$ and $Z$ have dimension of capacitance and magnetic field, respectively What are the dimension of $Y$ in $S I$ units?
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If a quantity Q is given by $Q=\frac{M F \eta G}{Y T^2}$ where $M=$ mass, $F=$ force, G=gravitational constant, $\eta=$ Coefficient of viscosity, $\mathrm{Y}=\mathrm{Young}$ 's modulus. Then what is the dimension of Q in terms of $\mathrm{P}, \varepsilon_0, \mu_0$ where $\varepsilon_0=$ permittivity of free space and $\mu_0=$ permeability of free space and $\mathrm{P}=$ Power?
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Which one of the following pair of quantities and their units is a proper match -
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The dimension of mutual inductance is :
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If are the self-inductance, capacitance, and resistance respectively, which of the following does not have the dimension of time?
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| D. |
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Match List - I with List - II :
| List -I | List-II | ||
| (a) | Magnetic Induction | (i) | |
| (b) | Magnetic Flux | (ii) | |
| (c) | Magnetic Permeability | (iii) | |
| (d) | Magnetization | (iv) |
Choose the most appropriate answer from the options given below:
| A. |
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| B. |
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| C. |
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| D. |
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In SI units, the dimension of is
| A. |
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| B. |
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The dimensions of where the symbols have their usual meaning are $L^x T^{-y}$. Find x+y.
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The unit of magnetic moment is:
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| B. |
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What is the SI unit of permeability-
| A. |
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| D. |
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Which of the following is MKS unit of mass-
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Which one of the following pair of quantities and their units is a proper match:
| A. |
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| B. |
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| C. |
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| D. |
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If 1 Tesla = 10 k Gauss then the value of k is equal to -
| A. |
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| B. |
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| C. |
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| D. |
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Magnetic permeability is maximum for
| A. |
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| B. |
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| D. |
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SI unit of magnetic field $\vec{\beta}$ is -
| A. |
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| D. |
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The unit of absolute permeability of air is -
| A. |
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What is true about rolling friction-
| A. |
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What is true about the absolute permeability of air?
| A. |
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Which of the following are not a unit of time?
a) second
b) parsec
c) year
d) light year
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| D. |
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A neutron star with magnetic moment of magnitude $m$ is spinning with angular velocity $\omega$ about its magnetic axis. The electromagnetic power P radiated by it is given by $P=\mu_0^x m^y \omega^z c^u$, where $\mu_0$ and c are the permeability and speed of light in free space, respectively. Then
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If $B$ is magnetic field and $\mu_0$ is permeability of free space, then the dimensions of $\left(\mathrm{B} / \mu_0\right)$ is:
| A. |
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| B. |
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| D. |
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Given a charge $q$, current I and permeability of vacuum $\mu_0$. Which of the following quantity has the dimension of momentum?
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