Question

write the expression for radius of stationary orbit explain the terms involved​

Answer 1

radius of stationery orbit is r = n²h²/4π²mZe²

Bohr's orbit is also known as stationary orbit. from Bohr's atomic model,

• angular momentum associated by electron is integral multiple of h/2π
• electrostatic force between electron and nucleus is balanced by centripetal force.

from both points ,

we get, mvr = nh/2π .....(1)

and KZe²/r² = mv²/r .......(2)

from equations (1) and (2),

r = n²h²/4π²mZe² , this is the required expression.

h is Plank's constant, m is mass of electron , e is charge on electron and Z is atomic no of atom.

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