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JEE Advanced2017ChemistryStructure of AtomActual

The wave function, ψ n , l , m l is a mathematical function whose value depends upon spherical polar coordinates r , θ , ϕ of the electron and characterized by the quantum numbers n , l and m l . Here r is distance from nucleus, θ is colatitude and ϕ is azimuth. In the mathematical functions given in the Table, Z is atomic number and a o is Bohr radius. Column – 1 Column – 2 Column – 3 (I) Is orbital (i) ψ n , l , m

Options

  1. A( I )   ( i )   ( P )
  2. B( II )   ( i )   ( Q )
  3. C( I )   ( iv )   ( R )
  4. D( I )   ( i )   ( S )

Correct answer

D. ( I )   ( i )   ( S )

Step-by-step solution

We have to select only correct combination hence, the option (iv) is correct. For 1s orbital : ψ n ,  l ,  m   α Z a 0 3 2   e - zr a 0 Energy needed to excite an electron : from n = 2 to n = 4 ΔE 2 - 4 = 13 .6   Z 2 × 3 16 eV Energy needed to excite an electron : from n = 2 to n = 6 ΔE 2 - 6 = 13 .6   Z 2 × 8 36 ΔE 2 - 4 = 27 32   E 2 - 6 (hence, true)

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