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.

    The speed at which the current travels, in a conductor, is nearly

    A

    3  imes  10βˆ’4  msβˆ’13\,\, imes \,\,{10^{ - 4}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    3  imes  10βˆ’5  msβˆ’13\,\, imes \,\,{10^{ - 5}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    4  imes  106  msβˆ’14\,\, imes \,\,{10^6}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    3  imes  108  msβˆ’13\,\, imes \,\,{10^8}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

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    3.

    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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    7.

    In a closed circuit, the current II (in ampere) at an instant of time t(in second) is given by I=4βˆ’0.08  tI = 4 - 0.08\,\,t. The number of electrons flowing in 50  s{\rm{50}}\,\,{\rm{s}} through the cross-section of the conductor is

    A

    1.25   imes  10191.25\,\,\, imes \,\,{10^{19}}

    B

    6.25  imes  10206.25\,\, imes \,\,{10^{20}}

    C

    5.25   imes  10195.25\,\,\, imes \,\,{10^{19}}

    D

    2.55  imes  10202.55\,\, imes \,\,{10^{20}}

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