Question

In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is

4/9

9/4

27/5

5/27

Solution

5/27

In hydrogen atom, wavelength of characteristic spectrum

$1 over straight lambda space equals space Rz squared open square brackets fraction numerator 1 over denominator straight n subscript 1 superscript 2 end fraction minus fraction numerator 1 over denominator straight n subscript 2 superscript 2 end fraction close square brackets For space layman space series space straight n subscript 1 space equals space 1 comma space straight n subscript 2 space equals space 2 1 over straight lambda subscript 1 space equals space Rz squared open square brackets 1 over 1 squared minus 1 over 2 squared close square brackets space space... space left parenthesis straight i right parenthesis space For space Balmer space series space straight n subscript 1 space equals space 2 comma space straight n subscript 2 space equals space 3 1 over straight lambda subscript 2 space equals space Rz squared open square brackets 1 over 2 squared minus 1 over 3 squared close square brackets space space... space left parenthesis ii right parenthesis space Dividing space eq space left parenthesis ii right parenthesis space by space eq space left parenthesis straight i right parenthesis space space we space get straight lambda subscript 1 over straight lambda subscript 2 space equals space fraction numerator Rz squared open square brackets 1 fourth minus 1 over 9 close square brackets space over denominator Rz squared open square brackets 1 over 1 minus 1 fourth close square brackets space end fraction equals fraction numerator begin display style 5 over 36 end style over denominator begin display style 3 over 4 end style end fraction straight lambda subscript 1 over straight lambda subscript 2 space equals space 5 over 36 straight x space 4 over 3 space equals space 5 over 27$

Some More Questions From Wave Optics Chapter

In the ground state of electrons are in stable equilibrium, while in electrons always experience a net force. (Thomson's model/Rutherford's model).

A classical atom based on __________ is doomed to collapse. (Thomson's model/Rutherford's model)

An atom has a nearly continuous mass distribution in a ___ but has a highly non-uniform mass distribution in (Thomson's model/Rutherford's model)

The positively charged part of the atom possesses most of the mass in ___________ (Rutherford's model/both the models).

Suppose you are given a chance to repeat the alpha-particle scattering experiment using a thin sheet of solid hydrogen in place of the gold foil. (Hydrogen is a solid at temperatures below 14 K.) What results do you expect?

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Wave Optics

In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is

4/9

9/4

27/5

5/27

Some More Questions From Wave Optics Chapter

In the ground state of electrons are in stable equilibrium, while in electrons always experience a net force. (Thomson's model/Rutherford's model).

A classical atom based on __________ is doomed to collapse. (Thomson's model/Rutherford's model)

An atom has a nearly continuous mass distribution in a ___ but has a highly non-uniform mass distribution in (Thomson's model/Rutherford's model)

The positively charged part of the atom possesses most of the mass in ___________ (Rutherford's model/both the models).

Suppose you are given a chance to repeat the alpha-particle scattering experiment using a thin sheet of solid hydrogen in place of the gold foil. (Hydrogen is a solid at temperatures below 14 K.) What results do you expect?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Wave Optics

In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is 4/9 9/4 27/5 5/27

Some More Questions From Wave Optics Chapter

In the ground state of __________ electrons are in stable equilibrium, while in __________ electrons always experience a net force. (Thomson's model/Rutherford's model).

A classical atom based on __________ is doomed to collapse. (Thomson's model/Rutherford's model)

An atom has a nearly continuous mass distribution in a _____________ but has a highly non-uniform mass distribution in __________ (Thomson's model/Rutherford's model)

The positively charged part of the atom possesses most of the mass in ___________ (Rutherford's model/both the models).

Suppose you are given a chance to repeat the alpha-particle scattering experiment using a thin sheet of solid hydrogen in place of the gold foil. (Hydrogen is a solid at temperatures below 14 K.) What results do you expect?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is

4/9

9/4

27/5

5/27

In the ground state of electrons are in stable equilibrium, while in electrons always experience a net force. (Thomson's model/Rutherford's model).

An atom has a nearly continuous mass distribution in a ___ but has a highly non-uniform mass distribution in (Thomson's model/Rutherford's model)