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    2.

    The electron of hydrogen atom is considered to be revolving round in circular orbit of radius h2/me2{h^2}/m{e^2} with velocity e2h\frac{{{e^2}}}{h}, where h=h/2πh = h/2\pi . The current i is

    A

    4π2me5h2\frac{{4\,{\pi ^2}\,m{e^5}}}{{{h^2}}}

    B

    4π2me2h3\frac{{4\,{\pi ^2}\,m{e^2}}}{{{h^3}}}

    C

    4π2m2e5h3\frac{{4\,{\pi ^2}\,{m^2}\,{e^5}}}{{{h^3}}}

    D

    4π2me5h3\frac{{4\,{\pi ^2}\,m\,{e^5}}}{{{h^3}}}

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    3.

    If the electric current through an electric bulb is 3.2A{\rm{3}}{\rm{.2 }}\,{\rm{A}}, the number of electrons flow through it in one second is

    A

    2imes1092\,\, imes \,\,{10^9}

    B

    2{\mkern 1mu} {\mkern 1mu}  imes {\mkern 1mu} {\mkern 1mu} {10^{19}}

    C

    3.2imes10193.2\,\, imes \,\,{10^{19}}

    D

    1.6imes10181.6\,\, imes \,\,{10^{18}}

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    4.

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

    A

    6.25imes103ms16.25\,\, imes \,\,{10^{ - 3}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    1.25imes105ms11.25\,\, imes \,\,{10^{ - 5}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    1.25imes103ms11.25\,\, imes \,\,{10^{ - 3}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    1.25imes104ms11.25\,\, imes \,\,{10^{ - 4}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

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    8.

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

    A

    6.25imes103ms16.25\,\, imes \,\,{10^{ - 3}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    B

    1.25imes105ms11.25\,\, imes \,\,{10^{ - 5}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    C

    1.25imes103ms11.25\,\, imes \,\,{10^{ - 3}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    1.25imes104ms11.25\,\, imes \,\,{10^{ - 4}}\,\,{\rm{m}}{{\rm{s}}^{ - 1}}

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