The ratio of areas of the electron orbits for the first excited state and the ground state for the hydrogen atom is .....

Options

A. `16:1`
B. `2:1`
C. `4:1`
D. `8:1`

Answer

A

Explanation

For first excited state n = 2 and radius `r_(2) prop4`
For ground state n= 1 and radius `r_(1) prop1`
Now if A is area then `A prop r^(2)`
`:.A_(2)prop r_(2)^(2) prop 16 and A_(1) prop r_(1)^(2) prop 1`
`:.(A_(2))/(A_(1))=(16)/(1) :.16:1`