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If the speed of the electron in a hydrogen atom orbit of principal quantum number n be V, then the curve showing variation of V with n is: |
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Answer» a straight line `(mv^(2))/(r_(n))=(1)/(4pi epsi_(0)) ((ZE).e)/(r_(n)^(2))` `mv^(2) r_(n)=(Ze^(2))/(4pi epsi_(0))` `mv^(2)r_(n)=(Ze^(2))/(4pi epsi_(0))..........(1)` Bohr.s quantum condition gives `mvr_(n)=(nh)/(2pi) ..........(2)` Dividing eq. (1) by (2), `(mv^(2)r_(n))/(mv r_(n))=((Ze^(2))/(4pi epsi_(0)))/((nh)/(2pi))` `V=(Ze^(2))/(2n epsi_(0)H)` `v xx n =(Ze^(2))/(2epsi_(0) h)="constant"` i.e. `v xx n ="constant" .......(3)` Equation (3) represent a reactangular hyperbola. |
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