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Find the (i) angular momentuum (ii) velo...

Find the (i) angular momentuum (ii) velocity of the electron in the `5^(th)` orbit of hydrogen atom
`(h = 66 xx 10^(-34) Js, m = 9.1 xx 10^(-31) kg)`

Text Solution

Verified by Experts

(i) Angular momentum is given by
`l = nh = (nh)/(2 pi)`
`= (5 xx 6.6 xx 10^(-34))/(2 xx 3.14) = 5.25 xx 10^(-34) kgm^(2)s^(-1)`
(ii) Velocity is given by
`Velocity v = (l)/(mr)`
` = ((5.25 xx 10^(-34) kgm^(2)s^(-1)))/((9.1 xx 10^(-31) kg)(13.25 xx 10^(-10) m))`
`v = 4.4 xx 10^(5) ms^(-1)`
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