a.Calculate the velocity of an electron in the first Bohr's orbit of hydrogen atom (given `r = a_(0))`.
b. Find de Broglie's wavelength of the electron in the first Bohr's orbit.
c. Find the orbital angular momentum of `2p` orbital in terms of `h//2pi` units.

Answer

`v=(2.188xx10^(6))/(n)m" "sec^(-1)`
`v=(2.188xx10^(6))/(1)=2.188xx10^(6)m" "sec^(-1)`
`lamda=(h)/(mv)=(6.626xx10^(-34))/(9.1xx10^(-31)xx2.188xx10^(6))`
`=3.3xx10^(-10)m`
Orbital angular momentum `=sqrt(l(l+1))(h)/(2pi)`
`=sqrt(1(1+1))(h)/(2pi)" "(becausel=1" for "2p)`
`=sqrt(2)(h)/(2pi)`