1.

In a hydrogen atom, the centripetal force is furnished by the coloumb attraction between electron and proton. If a_(0) is the radius of first state orbit and permittivity of vacuum is in_(0),then the speed of the electron is.... [m = mass of electron, e = charge on electron]

Answer»

0
`(e)/(sqrt(in_(0)a_(0)m))`
`(e)/(sqrt(4piin_(0)a_(0)m))`
`sqrt((4piin_(0)a_(0)m)/(e))`

Solution :CENTRIPETAL force for uniform CIRCULAR motion = COLOUMB force
`(mv^(2))/(a_(0))=(e^(2))/(4piin_(0)a_(0)^(2))`
`:.v^(2)=(e^(2))/(4piin_(0)ma_(0))`
`:.v=(e)/(sqrt(4piin_(0)ma_(0)))`


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