Question

If the radius of second stationary orbit is R then radius of third orbit will be

Answer 1

the radius of third orbit will be  2.25 R
THIS IS ACCORDING TO BOHR'S MODEL OF AN ATOM

Answer 2

Hello dear,

● Answer -
Radius of 3rd stationary orbit will be 9R/4.

● Explanation -
Let Rb be the Bohr radius.

For an element of atomic number Z, radius of nth Bohr orbit is given by -
Rn = Rb × n^2 / Z

For 2nd orbit,
R2 = Rb × 2^2 / Z
R2 = 4Rb/Z
∴ R2/4 = Rb/Z ...(1)

For third orbit,
R3 = Rb × 3^3 / Z
R3 = 9Rb/Z
∴ R3/9 = Rb/Z ...(2)

Equating (1) & (2),
R2/4 = R3/9
R3 = (9/4) R2

Also, R2 = R,
∴ R3 = 9R/4

Hence, radius of 3rd stationary orbit will be 9R/4.


Hope this helps you.
Keep asking questions..