Suppose an electron is attracted toward the origin by a force`(k)/(r )` where `k` is a constant and `r` is the distance of the electron from the origein .By appling Bohr model to this system the radius of the `n^(th)` orbital of the electron is found to be `r_(n)` and the kinetic energy of the electron to be `T_(n)` , Then which of the following is true ?
A
`T_(n) prop (1)/(n^(2)) , r_(n) prop n^(2)`
B
`T_(n)` independent of `n , r_(n) prop n `
C
`T_(n) prop (1)/(n) , r_(n) prop n`
D
`T_(n) prop (1)/(n) , r_(n) prop n^(2)`
Text Solution
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The correct Answer is:
B
When `F= (k)/(r ) = contripetal force , then ( (k)/(r ) = (m v^(2))/(r )` `rArr m v^(2) rArr kinetic energy is constant rArr T` is independent of `n`
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