Question

If the speed of electron in the first Bohr orbit of hydrogen atom is x, then the speed of the electron in the third Bohr orbit of hydrogen is​

Answer 1

Answer:

Velocity of electron in orbit formula is

Vn= Ze^2/2nh

e= charge on electron

Z= atomic number

n= no. of orbit

h= Plank’s constant

For first orbit of H atom given that,

V= x

V1= 1*e^2/2*1*h

=e^2/2h=x

For 3rd orbit,

V3= 1*e^2/2*3*h

=e^2/6h=1/3x

( e^2/2h*1/3=x*1/3 becomes e^2/6h=1/3x)