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Units and Measu...

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  • Question 1
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    Dimensions of $$\displaystyle \frac{1}{\mu_{0}{\varepsilon_{0}}}$$ , where symbols have their usual meaning, are :

  • Question 2
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    Let $$[\varepsilon _{0}]$$ denote the dimensional formula of the permittivity of vacuum. If $$M=$$ mass, $$L=$$ length, $$T=$$ time and $$A=$$ electric current, then:

  • Question 3
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    In the following $$I$$ refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity:

  • Question 4
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    The physical quantities not having same dimensions are:

  • Question 5
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    The dimension of magnetic field in $$\mathrm{M},\ \mathrm{L},\ \mathrm{T}$$ and $$\mathrm{C}$$ (Coulomb) is given as :

  • Question 6
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    Which of the following does not have the same dimension?

  • Question 7
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    A cube has a side of length $$1.2\times 10^{-2}\ \mathrm{m}$$. Calculate its volume ?

  • Question 8
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    Directions For Questions

    In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, $$[E]$$ and $$[B]$$ stand for dimensions of electric and magnetic fields respectively, while $$[\in_0]$$ and $$[\mu_0]$$ stand for dimensions of the permittivity and permeability of free space respectively. $$[L]$$ and $$[T]$$ are dimensions of length and time respectively. All the quantities are given in $$SI$$ units. 

    ...view full instructions

    The relation between $$[\in_0]$$ and $$[\mu_0]$$ is

  • Question 9
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    The dimensions of $${ \left( { \mu }_{ 0 }{ \varepsilon }_{ 0 } \right)  }^{ -1/2 }$$ are :

  • Question 10
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    The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth, is :

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