Question

The wavelength of the first line of Layman series for the hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like an ion. The atomic number Z of hydrogen-like ion is

4

1

2

3

Solution

Layman series for H - ion

$hc over straight lambda space equals space R h c space space open parentheses 1 over 1 squared minus 1 over 2 squared close parentheses and space for space straight H space minus space like space ion hc over straight lambda space equals space R h c space space open parentheses 1 over 2 squared minus 1 over 4 squared close parentheses therefore space space open parentheses 1 over 1 squared minus 1 over 2 squared close parentheses space equals space straight Z squared space space space open parentheses 1 fourth minus 1 over 16 close parentheses open parentheses 1 minus 1 fourth close parentheses space equals straight Z squared space space space open parentheses 1 fourth minus 1 over 16 close parentheses straight Z space equals space 2$

Some More Questions From Wave Optics Chapter

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

The wavelength of the first line of Layman series for the hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like an ion. The atomic number Z of hydrogen-like ion is

4

1

2

3

Some More Questions From Wave Optics Chapter

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

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For Daily Free Study Material Join wiredfaculty

Wave Optics

The wavelength of the first line of Layman series for the hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like an ion. The atomic number Z of hydrogen-like ion is 4 1 2 3

Some More Questions From Wave Optics Chapter

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

The wavelength of the first line of Layman series for the hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like an ion. The atomic number Z of hydrogen-like ion is

4

1

2

3

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)