Verified Solution • 2025–26 Session moderate

QJEEM20Ch1e58: JEE Main 2020 Chemistry - Class 11 JEEM20Ch1e58 Solution: For the Balmer series in the spectrum of H atom, , the correct…

For the Balmer series in the spectrum of H atom,
ν‾=RH{1n12−1n22}\overline \nu = {R_H}\left\{ {{1 \over {n_1^2}} - {1 \over {n_2^2}}} \right\} , the correct statements among (I) to (IV) are :
(I) As wavelength decreases, the lines in the series converge
(II) The integer n1 is equal to 2
(III) The lines of longest wavelength corresponds to n2 = 3
(IV) The ionization energy of hydrogen can be calculated from wave number of these lines

Multiple Choice Options

  • A (II), (III), (IV)
  • B (I), (II), (III)
  • C (I), (III), (IV)
  • D (I), (II), (IV)

Step-by-Step Verified Solution

For balmer series : n1 = 2, n2 = 3, 4, 5, ..... ∞\infty

For longest wavelength n2 = 3

1λ=R(122−132){1 \over \lambda } = R\left( {{1 \over {{2^2}}} - {1 \over {{3^2}}}} \right)

As wavelength decreases the lines in the Balmer series converge. The correct statements are (I), (II) and (III).

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