Question

The ratio of the area covered by the second orbit to the first orbit is a)1:2 b)1:16 c)8:1 d)16:1

Answer 1

The correct answer is option D - 16 : 1.

This is because the radius of the hydrogen atom is directly proportional to the square of its principle quantum number.

Area of circle (orbit) = π r²

Radius (r) of a shell = α n²/Z

Therefore, Area A = α π n4 (Z = 1 for both)

1st orbit:- n = 1, A = α π (1)⁴/Z = 1

2nd orbit:- n = 2; A = α π (2)⁴/Z = 16

Therefore, ratio of second to first orbit is 16:1.

Answer 2

Hey !

            The ratio of area covered by second orbital to the first orbital is 16:1

Explanation:-

                   rₙ ∝ n² ; A ∝ n⁴

                   A₂/A₁ = n⁴₂/n⁴₁ = 2⁴/1⁴

              = 16/1

Good luck !!