Related Questions

    1.

    A physical quantity of the dimensions of length that can be formed out of c, G and is [c is velocity of light, G is universal constant of gravitation and e is charge]

    A

    c2[Ge24πε0]1/2{c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}

    B

    1c2[e2G4πε0]1/2\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}

    C

    1cGe24πε0\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}

    D

    1c2[Ge24πε0]1/2\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}

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    2.

    The dimensional formula of 1ε0e2hc\frac{1}{{{\varepsilon _0}}}\frac{{{e^2}}}{{hc}} is

    A

    [M0L0T0A0]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^0}{{\rm{A}}^0}} \right]

    B

    [M1L3T2A]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^2}{\rm{A}}} \right]

    C

    [ML3T4A2]\left[ {{\rm{M}}{{\rm{L}}^3}{{\rm{T}}^{ - 4}}{{\rm{A}}^{ - 2}}} \right]

    D

    [M1L3T4]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^{ - 3}}{{\rm{T}}^4}} \right]

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    4.

    What is the dimensional formula of mc2m{c^2}, where the letters have their usual meanings?

    A

    [MLT1]\left[ {{\rm{ML}}{{\rm{T}}^{ - 1}}} \right]

    B

    [ML0T0]\left[ {{\rm{M}}{{\rm{L}}^0}{{\rm{T}}^0}} \right]

    C

    [ML2T2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    D

    [M1L3T6]\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^3}{{\rm{T}}^6}} \right]

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