Question

Ratio of centripetal acceleration for an electron revolving in 3^rd orbit to 5^th orbit of hydrogen atom is ______.

Options

• `424/21`

• `125/4`

• `625/81`

• `775/61`

Answer 1

Ratio of centripetal acceleration for an electron revolving in 3^rd orbit to 5^th orbit of hydrogen atom is `underline(625/81)`.

Explanation:

Centripetal acceleration a = `ν^2/"r"`

`ν prop 1/"n" and "r"   alpha  "n"^2`

`therefore "a" = 1/"n"^4`

`therefore "a"_5/"a"_3 = (3)^4/(5)^4 = 81/125`