Consider the following
I. The electron spin quantum number describes the orientation of the spin of the nucleus with respect to the magnetic field
II. The orbitals represented by the quantum numbers n=3, l=2, m=+2 and n=3, l=2, m=-2 have the same energy
III. The energy of a photon is directly proportional to wavelength but inversely proportional to wave number
IV. Lyman series of lines appear in ultra-violet region
The correct statements are

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I and II only

II and IV only

I, III and IV only

II, III and IV only

answer is A.

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Detailed Solution

Orbitals have quantum numbers, n=3, l=2, m=+2 and n=3, l=2, m=+2, represents electron present in 3d orbital because n=3 and l=2. Magnetic quantum number (m), range from -l to +l. This means that the electron is present in the first orbital of 3d orbital.
Orbitals have quantum numbers, n=3, l=2, m=+2 and n=3, l=2, m=-2, represents electron present in 3d orbital because n=3 and l=2. Magnetic quantum number (m), range from -l to +l. This means that the electron is present in the last orbital of 3d orbital.
Both electrons have the same energy.
Lyman series is a hydrogen spectral series of transitions and resulting ultraviolet emission lines of the hydrogen atom as an electron goes from n ≥ 2 to n = 1 (n is the principle quantum number).

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