1.

    Two copper wires of equal length but different cross-sectional areas carry the same current. Which of the following statements is true regarding the drift velocities of electrons in the two wires?

    A

    The drift velocity is the same in both wires.

    B

    The drift velocity is higher in the wire with the smaller cross-sectional area.

    C

    The drift velocity is higher in the wire with the larger cross-sectional area.

    D

    The drift velocity is zero in both wires since the wires are of the same material.

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    2.

    There is a current of \begin{array}{*{20}{l}} {{\rm{0}}{\rm{.21}}\,\,{\rm{A}}} \end{array} in a copper wire whose area of cross-section is 10βˆ’6 m2{10^{ - 6}}\,{{\rm{m}}^2}. If the number of free electrons per m3{{\rm{m}}^3} is 8.4  imes 10288.4\,\, imes \,{10^{28}}, then find the drift velocity,(e=1.6  imes  10βˆ’19  C)\left( {e = 1.6\,\, imes \,\,{{10}^{ - 19}}\,\,{\rm{C}}} \right)

    A

    2  imes  10βˆ’5  msβˆ’12\,\, imes \,\,{10^{ - 5}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    1.56  imes  10βˆ’5  msβˆ’11.56\,\, imes \,\,{10^{ - 5}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    1  imes  10βˆ’5  msβˆ’11\,\, imes \,\,{10^{ - 5}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    0.64  imes  10βˆ’5  msβˆ’10.64\,\, imes \,\,{10^{ - 5}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

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    6.

    Drift velocity vd{v_d} varies with the intensity of electric field as per the relation

    A

    vd∝E{v_d} \propto E

    B

    vd∝1E{v_d} \propto \frac{1}{E}

    C

    vd={v_d} = constant

    D

    vd∝E2{v_d} \propto {E^2}

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    7.

    A conductor wire having 1029{10^{29}} free electrons/m3{\rm{electrons}}/{{\rm{m}}^3} carries a current of 20  A {\rm{20}}\,\,{\rm{A}}\,. If the cross-section of the wire is 1  mm21\,\,{\rm{m}}{{\rm{m}}^2}, then the drift velocity of electrons will be

    A

    6.25  imes  10βˆ’3  msβˆ’16.25\,\, imes \,\,{10^{ - 3}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    1.25  imes  10βˆ’5  msβˆ’11.25\,\, imes \,\,{10^{ - 5}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    1.25  imes  10βˆ’3  msβˆ’11.25\,\, imes \,\,{10^{ - 3}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    1.25  imes  10βˆ’4  msβˆ’11.25\,\, imes \,\,{10^{ - 4}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

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    9.

    The direction of drift velocity of electrons in a metallic conductor is:

    A

    same as the direction of the electric field

    B

    opposite to the direction of the electric field

    C

    perpendicular to the direction of the electric field

    D

    independent of the direction of the electric field

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