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Using relevant Bohr's postulates establish an expression for the speed of the electron in nth orbit of hydrogen atom. |
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Answer» SOLUTION :For revolution of an electron in nith Bohr orbit in a hydrogen atom the centripetal force is provided by coulombian attractive force. Hence `(m v_(n)^(2))/(r_(n)) = (1)/(4 pi in_(0)) .(e^(2))/(r_(n)^(2)) rArr m v_(n)^(2) r_(n) = (e^(2))/(4 pi in_(0))""........(i)` Again from Bohr quantum CONDITION, we have `m v_(n) r_(n) = (n h)/(2 pi)""...........(IV)` Dividing (i) by (ii), we get ` v_(n)= (e^(2))/(2 in_(0) n h)` |
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