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Units and Measu...

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  • Question 1
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    A metal sample carrying a current along XX-axis with density JxJ_{x} is subjected to a magnetic field BzB_{z} (along zz-axis). The electric field EyE_{y} developed along YY-axis is directly proportional to JxJ_{x} as well as BzB_{z}. The constant of proportionality has SISI unit.

  • Question 2
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    Give the MKS units for the following quantities.
    Power of lens.

  • Question 3
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    In the formula X=3YZ2X=3YZ^2, X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSQ system are ________.

  • Question 4
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    Planck's constant has the dimensions ___________.

  • Question 5
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    The physical quantities not having same dimensions are:

  • Question 6
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    If yy represents pressure and xx represents velocity  gradient, then the dimensions of d2ydx  2\dfrac { { d }^{ 2 }y }{ d{ x  }^{ 2 } } are

  • Question 7
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    Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii R1R_1and R2R_2, respectively. The ratio of the masses of  X to that of Y is

  • Question 8
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    The physical quantities which do not have same dimensions are

  • Question 9
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    The velocity of a body moving viscous medium is given by V=AB[1et/B]V=\dfrac { A }{ B } [1-{ e }^{ { -t }/{ B } }] where tt is time, AA and BB are constants. Then the dimensional formula of AA is:

  • Question 10
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    The equation of the state of some gases can be expressed as (P+aV2=RθV)(P + \dfrac{a}{V^2} = \dfrac{R\theta}{V}), where P is the pressure. V the volume, θ\theta the absolute temperature and a and b are constant. The dimensional formula of a is  

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