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    4.

    The dimensions of shear modulus are

    A

    MLT1ML{T^{ - 1}}

    B

    ML2T2M{L^2}{T^{ - 2}}

    C

    ML1T2M{L^{ - 1}}{T^{ - 2}}

    D

    MLT2ML{T^{ - 2}}

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    5.

    Dimensions of kinetic energy are

    A

    ML2T2M{L^2}{T^{ - 2}}

    B

    M2LT1{M^2}L{T^{ - 1}}

    C

    ML2T1M{L^2}{T^{ - 1}}

    D

    ML3T1M{L^3}{T^{ - 1}}

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    6.

    In the formula, a=3bc2,aa = 3b{c^2},a and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

    A

    [M3L2T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^{ - 2}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    B

    [M3T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^4}{{\rm{Q}}^4}} \right]

    C

    [M3T3Q]\left[ {{{\rm{M}}^{ - 3}}{{\rm{T}}^3}{\rm{Q}}} \right]

    D

    [M3L2T4Q4]\left[ {{{\rm{M}}^{ - 3}}{{\rm{L}}^2}{{\rm{T}}^4}{{\rm{Q}}^{ - 4}}} \right]

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    10.

    If C is the capacitance and V is the potential, the dimensional formula for CV2C{V^2} is

    A

    [ML2T1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 1}}} \right]

    B

    [ML2T3]\left[ {{\rm{M}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 3}}} \right]

    C

    [ML2  T2]\left[ {{\rm{M}}{{\rm{L}}^2}{\rm{\;}}{{\rm{T}}^{ - 2}}} \right]

    D

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

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