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    2.

    The energy of electron in the nth orbit of hydrogen atom is expressed asEn=βˆ’13.6n2eV{E_n} = \frac{{ - 13.6}}{{{n^2}}}eV. The shortest and longest wavelength of Lyman series will be

    A

    910  A0,  1213  A0910\,\,{A^0},\,\,1213\,\,{A^0}

    B

    5463  A0,  7858  A05463\,\,{A^0},\,\,7858\,\,{A^0}

    C

    1315  A0,  1530  A01315\,\,{A^0},\,\,1530\,\,{A^0}

    D

    None of these

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    5.

    An electron jumps from the 4th{4^{{\rm{th}}}} orbit to the 2nd{2^{{\rm{nd}}}} orbit of hydrogen atom. Given the Rydberg’s constant R=105  cmβˆ’1R = {10^5}\,\,c{m^{ - 1}}. The frequency in HzHz of the emitted radiation will be

    A

    316  imes  105\frac{3}{{16}}\,\, imes \,\,{10^5}

    B

    316  imes  1015\frac{3}{{16}}\,\, imes \,\,{10^{15}}

    C

    916  imes  1015\frac{9}{{16}}\,\, imes \,\,{10^{15}}

    D

    34  imes  1015\frac{3}{4}\,\, imes \,\,{10^{15}}

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    6.

    The wavelength of the first line of Balmer series is 6563  A06563\,\,{A^0}. The Rydberg constant for hydrogen is about

    A

    1.09{\mkern 1mu} {\mkern 1mu}  imes {10^7}{\mkern 1mu}\;{m^{ - 1}}

    B

    1.09{\mkern 1mu} {\mkern 1mu}  imes {10^8}{\mkern 1mu} per\;m

    C

    1.09{\mkern 1mu} {\mkern 1mu}  imes {10^9}{\mkern 1mu} per\;m

    D

    1.09{\mkern 1mu} {\mkern 1mu}  imes {10^5}{\mkern 1mu} {\mkern 1mu} per\;m

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    10.

    Taking Rydberg’s constant RH=1.097  imes  107  m{R_H} = 1.097\,\, imes \,\,{10^7}\,\,m, first and second wavelength of Balmer series in hydrogen spectrum is

    A

    2000  A0,3000  A02000\,\,{A^0},3000\,\,{A^0}

    B

    1575  A0,2960  A01575\,\,{A^0},2960\,\,{A^0}

    C

    6529  A0,4280  A06529\,\,{A^0},4280\,\,{A^0}

    D

    6552  A0,4863  A06552\,\,{A^0},4863\,\,{A^0}

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