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Question
Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to ______.
Options
`1/n`
`1/n^2`
n
`n^2`
Solution
Linear momentum of an electron in Bohr orbit of H-atom (principal quantum number n) is proportional to `bbunderline(1/n)`.
Explanation:
Linear momentum, p = mv
Velocity of electron in Bohr's orbit is given as
`"v"=e^2/(2epsilon_0"nh")`
`therefore"mv"=e^2/(2epsilon_0"nh")`
`rArr"p"=(me^2)/(2epsilon_0"nh")`
`rArr"p"prop1/"n"`
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