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    4.

    The dimensions of pressure are:

    A

    [MLT2]\left[ {ML{T^{ - 2}}} \right]

    B

    [ML1T2]\left[ {M{L^{ - 1}}{T^2}} \right]

    C

    [ML1T2]\left[ {M{L^{ - 1}}{T^{ - 2}}} \right]

    D

    [MLT2]\left[ {ML{T^2}} \right]

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    6.

    In the equation XX=3YZ2X = 3Y{Z^2} X and Z have dimensions of capacitance and magnetic induction respectively. In MKS system, the dimensional formula of Y is

    A

    M3L2T2Q4{{\rm{M}}^{ - 3}}{{\rm{L}}^{ - 2}}{{\rm{T}}^{ - 2}}{{\rm{Q}}^{ - 4}}

    B

    ML2{\rm{M}}{{\rm{L}}^{ - 2}}

    C

    M3L2Q4T8{{\rm{M}}^{ - 3}}{{\rm{L}}^{ - 2}}{{\rm{Q}}^4}{{\rm{T}}^8}

    D

    M3L2Q4T4{{\rm{M}}^{ - 3}}{{\rm{L}}^{ - 2}}{{\rm{Q}}^4}{{\rm{T}}^4}

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    7.

    Write dimensional formula for the intensity of radiation

    A

    M1L0T3{M^1}{L^0}{T^3}

    B

    M1L0T3{M^1}{L^0}{T^{ - 3}}

    C

    M1L2T2{M^1}{L^2}{T^{ - 2}}

    D

    M1L2T3{M^1}{L^2}{T^{ - 3}}

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    9.

    If the force is given by F=at+bt2F = at + b{t^2} with t't' as time. The dimensions of aa and bb are

    A

    MLT4,MLT2ML{T^{ - 4}},ML{T^{ - 2}}

    B

    MLT3,MLT4ML{T^{ - 3}},ML{T^{ - 4}}

    C

    ML2T3,ML2T2M{L^2}{T^{ - 3}},M{L^2}{T^{ - 2}}

    D

    ML2T3,ML3T4M{L^2}{T^{ - 3}},M{L^3}{T^{ - 4}}

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    10.

    If I is the moment of inertia and ω\omega  is the angular velocity, what is the dimensional formula of rotational kinetic energy 12Iω2?\frac{1}{2}I{\omega ^2}?

    A

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

    B

    [M2L1T2]\left[ {{{\rm{M}}^2}{{\rm{L}}^{ - 1}}{{\rm{T}}^{ - 2}}} \right]

    C

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

    D

    [M2L1T2]\left[ {{{\rm{M}}^2}{{\rm{L}}^{ - 1}}{{\rm{T}}^{ - 2}}} \right]

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