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(A) Balmer series lies in the visible re...

(A) Balmer series lies in the visible region of electromagnetic spectrum
(R): `(1)/(lambda) = R((1)/(2^(2)) - (1)/(n^(2)))` where n = 3,4,5

A

2651 Å

B

1641.1 Å

C

6569 Å

D

3249 Å

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The correct Answer is:
B
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n_(1) value in Balmer series is

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 formula is (1)/(lambda) = R_(H)[(1)/(2^(2)) - (1)/(n^(2))] = n = 3, 4,5… R_(H) = 109678 cm^(-1) is the Rydberg constant. Niels Bohr derived this expression theoretically in 1913. The formula is a generalised to any on electron atom/ion. The wavelength of first line of Balmer spectrum of hydrogen will be :

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 formula is (1)/(lambda) = R_(H)[(1)/(2^(2)) - (1)/(n^(2))] = n = 3, 4,5… R_(H) = 109678 cm^(-1) is the Rydberg constant. Niels Bohr derived this expression theoretically in 1913. The formula is a generalised to any on electron atom/ion. Which of the following is not correctly matched ?

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 formula is (1)/(lambda) = R_(H)[(1)/(2^(2)) - (1)/(n^(2))] = n = 3, 4,5… R_(H) = 109678 cm^(-1) is the Rydberg constant. Niels Bohr derived this expression theoretically in 1913. The formula is a generalised to any on electron atom/ion. How many lines in the spectrum will be observed when electrons returns from 7th shell to 2nd shell ?

The observed wavelengths in the line spectrum of hydrogen atom were first expressed in terms of a seriesby Johamn Balmer a swiss teacher. Balmer.s empirical formula is : (1)/(lambda) = R_(H)[(1)/(2^(2))-(1)/(n^(2))]n=3,4,5 …. R_(H) = 109678 cm^(-1) is the Rydberg constant How many lines in the spectrum will be observed when electrons return from 7^(th) shell to 2^(nd) shell ?

In case of hydrogen spectrum wave number is given by barv = R_H [(1)/(n_2^2) - 1/(n_2^2)] where n_1 lt n_2

Balmer gave an equation for wavelength of visible region of H-spectrum as barv =(n^2 - 4)/(Kn^2) where n = principal quantum number of energy level, K = constant terms.of R (Rydberg constant). The value of K in terms of R is:

When electron jumps from higher orbit to lower orbit, then energy is radiated in the form of electro magnetic radiation and these radiations are used to record the emission spectrum Energy of electron may be calculated as E= (2pi^2 m_e Z^2 e^4)/(n^2 h^2) where m_e = rest mass of electron DeltaE = (E_(n_2)- E_(n_1)) = 13.6xxZ^2 xx [1/(n_1^2) - 1/(n_2^2)] eV per atom This equation was also used by Rydberg to calculate the wave number of a particular line in the spectrum. bar(upsilon) = 1/(lambda) = R_H Z^2 [1/(n_1^2) -1/n_2^2] m^(-1) Where , R_H = 1.1 xx 10^7 m^(-1) (Rydberg constant) For Lyman, Balmer, Paschen, Brackett and Pfund series the value of n_1 = 1,2,3,4,5 respectively and n_2 = oo for series limit, If an electron jumps from higher orbit n to ground state than number of spectral line will be ""^nC_2 . Ritz modified the Rydberg equation by replacing the rest mass of electron with reduced mass (mu) . 1/(mu) = 1/(m_N) + 1/(m_e) , Here m_N mass of nucleus , m_e = mass of electron. The emission spectrum of He^+ involves transition of electron from n_1 to n_2 such that n_2 + n_1 = 8 and n_2 - n_1 = 4 . What will be the total number of lines in the spectrum ?

Lt_(n rarr oo) sum_(r=1)^(n)[(1)/(sqrt(4n^(2) - r^(2)))]

AAKASH SERIES-ATOMIC STRUCTURE-Exercise On Passages
  1. (A) Balmer series lies in the visible region of electromagnetic spectr...

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  2. The observed wavelengths in the line spectrum of hydrogen atom were fi...

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  3. The observed wavelengths in the line spectrum of hydrogen atom were fi...

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  4. The observed wavelengths in the line spectrum of hydrogen atom were fi...

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  5. Spin angular momentum of an electron has no analog in classical mechan...

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  6. Spin angular momentum of an electron has no analog in classical mechan...

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  7. Spin angular momentum of an electron has no analog in classical mechan...

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  8. Spin angular momentum of an electron has no analog in classical mechan...

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  9. Dual nature of matter was proposed by de Broglie in 1923, it was exper...

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  10. Dual nature of matter was proposed by de Broglie in 1923, it was exper...

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  11. Dual nature of matter was proposed by de Broglie in 1923, it was exper...

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  12. Dual nature of matter was proposed by de Broglie in 1923, it was exper...

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  13. The hydrogen like species Li^(2+) is in a spherically symmetric state ...

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  14. The hydrogen like species Li^(2+) is in a spherically symmetric state ...

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  15. The hydrogen like species Li^(2+) is in a spherically symmetric state ...

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  16. Electronic configuration of multielectron atoms can be written by the ...

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  17. Electronic configuration of multielectron atoms can be written by the ...

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  18. Electronic configuration of multielectron atoms can be written by the ...

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  19. Electronic configuration of multielectron atoms can be written by the ...

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