1.

The speed of an electron in first Bohr orbit is (c )/(137), where c is the velocity of light in vacuum, then the speed of electron in second orbit is …………..

Answer»

`(1)/(2)((C)/(137))`
`2((c)/(137))`
`(1)/(4)((1)/(137))`
`(1)/(4)((1)/(137))`

Solution :Angular momentumin `n^(th)` orbit,
`mvr_(n)=(nh)/(2PI)`
`:V=(nh)/(2pimr_(n))`
but `r_(n)LTN^(2)`
`:.r_(n)=Kn^(2)` (K constant)
`:.v=(nh)/(2pimKn^(2))`
`:.vprop(1)/(n)` (All others terms are constant)
`:.(v_(2))/(v_(1))=(n_(1))/(n_(2))`
`:.(v_(2))/(v_(1))=(1)/(2)`
`:.v_(2)=(v_(1))/(2)`
`:.v_(2)=(1)/(2)((c)/(137))`


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