1.

    The dimensional formula for surface tension is:

    A

    [MLT2][MLT^{-2}]

    B

    [MT2][MT^{-2}]

    C

    [ML2T2][ML^2T^{-2}]

    D

    [MLT1][MLT^{-1}]

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    4.

    The work done by a battery is W=εΔqW = \varepsilon \Delta q , where Δq\Delta q charge transferred by battery, ε\varepsilon = emf of the battery. What are dimensions of emf of battery?

    A

    [M0L0T2A2]\left[ {{{\rm{M}}^0}{{\rm{L}}^0}{{\rm{T}}^{ - 2}}{{\rm{A}}^{ - 2}}} \right]

    B

    [ML2T3A2]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{A}}^{ - 2}}} \right]

    C

    [M2L0T3A0]\left[ {{{\rm{M}}^2}{{\rm{L}}^0}{{\rm{T}}^{ - 3}}{{\rm{A}}^0}} \right]

    D

    [ML2T3A1]\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{A}}^{ - 1}}} \right]

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    6.

    The displacement xx of a particle as a function of time tt is given by x=αt2+βtx = \alpha t^2 + \beta t. If xx is in meters and tt is in seconds, what are the units of α\alpha and β\beta respectively?

    A

    extm/exts2ext{m}/ext{s}^2, extm/extsext{m}/ext{s}

    B

    extmexts2ext{m} \cdot ext{s}^2, extmextsext{m} \cdot ext{s}

    C

    extm/extsext{m}/ext{s}, extm/exts2ext{m}/ext{s}^2

    D

    extmextsext{m} \cdot ext{s}, extmexts2ext{m} \cdot ext{s}^2

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    7.

    Dimensions of 1μ0ε0\frac{1}{{{{\rm{\mu }}_0}{{\rm{\varepsilon }}_0}}}, where symbols have their usual meanings, are

    A

    [L1T]\left[ {{{\rm{L}}^{ - 1}}{\rm{T}}} \right]

    B

    [L2T2]\left[ {{{\rm{L}}^{ - 2}}{{\rm{T}}^2}} \right]

    C

    [L2T2]\left[ {{{\rm{L}}^2}{{\rm{T}}^{ - 2}}} \right]

    D

    [LT1]\left[ {{\rm{L}}{{\rm{T}}^{ - 1}}} \right]

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    9.

    The dimensional formula of acceleration is:

    A

    [LT1][LT^{-1}]

    B

    [LT2][LT^{-2}]

    C

    [MLT2][MLT^{-2}]

    D

    [ML1T2][ML^{-1}T^{-2}]

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    10.

    The dimensional formula of permeability of free space μ0\mu_0 is given by:

    A

    [MLT2A2][MLT^{-2}A^{-2}]

    B

    [ML1T2A2][ML^{-1}T^{-2}A^{-2}]

    C

    [MLT2A2][MLT^{-2}A^{2}]

    D

    [M1L1T2A2][M^{-1}L^{-1}T^{2}A^{2}]

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