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The observed wavelegnth in the line spec...

The observed wavelegnth in the line spectrum of hydrogen atom were first expressed in terms of a series by Johann Jakob Balmer, a Swiss teacher.
Balmer's emipirical formula is
`(1)/(lamda)=R_(H)[(1)/(2^(2))-(1)/(n^(2))]n=3,4,5` . . .
`R_(H)=109678cm^(-1)` is the Rydberg constant.
Niels Bohr derived this expression theoretically in 1913. The formula is generalised to any one electron atom/ion.
Q. Calculat ethe longest wavelength in Ã…(1Ã…=`10^(-10)m`) in the balmer series of singly ionized helium `He^(+)`. Select the correct answer. Ignore the nuclear motion in your calculation.

A

2651Ã…

B

1641.1Ã…

C

6569Ã…

D

3249Ã…

Text Solution

Verified by Experts

The correct Answer is:
B
`(1)/(lamda_(He^(+)))=R_(H)Z^(2)[(1)/(2^(2))-(1)/(3^(2))]`
`=109678xx4[(5)/(36)]`
`lamda_(He^(+))=1641.1`Ã…
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The observed wavelegnth in the line spectrum of hydrogen atom were first expressed in terms of a series by Johann Jakob Balmer, a Swiss teacher. Balmer's emipirical formula is (1)/(lamda)=R_(H)[(1)/(2^(2))-(1)/(n^(2))]n=3,4,5 . . . R_(H)=109678cm^(-1) is the Rydberg constant. Niels Bohr derived this expression theoretically in 1913. The formula is generalised to any one electron atom/ion. The wavelength of first line of Balmer spectrum of hydrogen will be:

The observed wavelegnth in the line spectrum of hydrogen atom were first expressed in terms of a series by Johann Jakob Balmer, a Swiss teacher. Balmer's emipirical formula is (1)/(lamda)=R_(H)[(1)/(2^(2))-(1)/(n^(2))]n=3,4,5 . . . R_(H)=109678cm^(-1) is the Rydberg constant. Niels Bohr derived this expression theoretically in 1913. The formula is generalised to any one electron atom/ion.Howmany lines in the spectrum will be observed when electrons return from 7th shell to 2nd shell?

Hydrogen Atom and Hydrogen Molecule The observed wavelengths in the line spectrum of hydrogen atom were first expressed in terms of a series by johann Jakob Balmer, a Swiss teacher. Balmer's empirical empirical formula is 1/lambda=R_(H)(1/2^(2)-1/n^(2))," " N=3, 4, 5 R_(H)=(Me e^(4))/(8 epsilon_(0)^(2)h^(3) c)=109. 678 cm^(-1) Here, R_(H) is the Rydberg Constant, m_(e) is the mass of electron. Niels Bohr derived this expression theoretically in 1913. The formula is easily generalized to any one electron atom//ion. Calculate the iongest wavelength in A (1 Å=10^(-10) m) in the 'Balmer series of singly ionized helium (He^(+)) Ignore nuclear motion in your calculation.

Knowledge Check

  • The observed wavelegnth in the line spectrum of hydrogen atom were first expressed in terms of a series by Johann Jakob Balmer, a Swiss teacher. Balmer's emipirical formula is (1)/(lamda)=R_(H)[(1)/(2^(2))-(1)/(n^(2))]n=3,4,5 . . . R_(H)=109678cm^(-1) is the Rydberg constant. Niels Bohr derived this expression theoretically in 1913. The formula is generalised to any one electron atom/ion. Which of the following is not correctly matched?

    A
    `H_(alpha)-`6569Ã…(Red)
    B
    `H_(beta)-`4861Ã…
    C
    `H_(gamma)-`4340Ã… (Orange)
    D
    `H_(delta)-`4101Ã…(Violet)

  • The observed wavelegnth in the line spectrum of hydrogen atom were first expressed in terms of a series by Johann Jakob Balmer, a Swiss teacher. Balmer's emipirical formula is (1)/(lamda)=R_(H)[(1)/(2^(2))-(1)/(n^(2))]n=3,4,5 . . . R_(H)=109678cm^(-1) is the Rydberg constant. Niels Bohr derived this expression theoretically in 1913. The formula is generalised to any one electron atom/ion. The wavelength of first line of Balmer spectrum of hydrogen will be:

    A
    4340Ã…
    B
    4101Ã…
    C
    6569Ã…
    D
    4861Ã…

  • The observed wavelegnth in the line spectrum of hydrogen atom were first expressed in terms of a series by Johann Jakob Balmer, a Swiss teacher. Balmer's emipirical formula is (1)/(lamda)=R_(H)[(1)/(2^(2))-(1)/(n^(2))]n=3,4,5 . . . R_(H)=109678cm^(-1) is the Rydberg constant. Niels Bohr derived this expression theoretically in 1913. The formula is generalised to any one electron atom/ion. Q.In which region of electromagnetic spectrum does the Balmer series lie?

    A
    UV
    B
    Visible
    C
    Infrared
    D
    Far infrared
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