Question

the radius of innermost eletron orbit of hydrogen is 5.1 ×1/10 m what is the radius of orbit in second excited state​

Answer 1

Answer:

The radius of the innermost orbit of a hydrogen atom, r1 = 5.3 × 10−11 m.

Let r2 be the radius of the orbit at n = 2. It is related to the radius of the innermost orbit as:

r2 = (n)2r1

= 4 x 5.3 x 10-11 = 2.12 x 10-10 m

For n = 3, we can write the corresponding electron radius as:

r3 = (n)2 r1

= 9 x 5.3 x 10-11 = 4.77 x 10-10 m

Hence, the radii of an electron for n = 2 and n = 3 orbits are 2.12 × 10−10 m and 4.77 × 10−10 m respectively.