1.

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 origin. By applying Bohr model to this system, the radius of the nth 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?

Answer»

`T_(N) ALPHA 1/n, r_(n) alpha n^(2)`
`T_(n) alpha 1/n^(2), r_(n) alpha n^(2)`
`T_(n)` independent of `n, r_(n) alpha n`
`T_(n) alpha 1/n, r_(n) alpha n`

SOLUTION :`(mv^(2))/(r_(n))=k/r_(n)`
`RARR mv^(2)=k`
`1//2 mv^(2)=k//2`
K.E. is independent of n it also `mvr_(n)=(nh)/(2pi)`
`r_(n) alpha n`


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