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    8.

    A wire of diameter 0.02  metre0.02\,\,metre contains 1028{10^{28}} free electrons per cubic metre. For an electrical current of 100  A100\,\,A, the drift velocity of the free electrons in the wire is nearly

    A

    1  imes  10βˆ’19  m/s1\,\, imes \,\,{10^{ - 19}}\,\,m/s

    B

    5  imes  10βˆ’10  m/s5\,\, imes \,\,{10^{ - 10}}\,\,m/s

    C

    2  imes  10βˆ’4  m/s2\,\, imes \,\,{10^{ - 4}}\,\,m/s

    D

    8  imes  103  m/s8\,\, imes \,\,{10^3}\,\,m/s

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    10.

    Assume that each atom of copper contributes one free electron. What is the average drift velocity of conduction electrons in a copper wire of cross-sectional area 10βˆ’7  m2{10^{ - 7}}\,\,{{\rm{m}}^2}, carrying a current of 1.5 A{\rm{1}}{\rm{.5}}\,{\rm{ A}} ? (Given density of copper 9  imes  10βˆ’3  kgmβˆ’39\,\, imes \,\,{10^{ - 3}}\,\,{\rm{kg}}{{\rm{m}}^{ - 3}}; atomic mass of copper = 63.5{\rm{ = }}\,{\rm{63}}{\rm{.5}}; Avogadro’s number =6.023  imes  1023 = 6.023\,\, imes \,\,{10^{23}} per gram atom)

    A

    1.1  imes  10βˆ’2  msβˆ’11.1\,\, imes \,\,{10^{ - 2}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    1.1  imes  10βˆ’3  msβˆ’11.1\,\, imes \,\,{10^{ - 3}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    2.2  imes  10βˆ’2  msβˆ’12.2\,\, imes \,\,{10^{ - 2}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    2.2  imes  10βˆ’3  msβˆ’12.2\,\, imes \,\,{10^{ - 3}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

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