Question

What is the number of revolutions of an electron in second bohr orbit of hydrogen atom in one second

Answer 1

Structure

Determine the frequency of revolution of the electron in 2nd Bohr's orbit in hydrogen atom

(a)9.3×1015Hz(c)7.32×1016Hz(b)8.28×1016Hz(d)8.13×1016Hz

sat chemistry atomic-structure jeemain physical-chemistry class11 unit2 bhor's-model q4 medium

equency = 1Time period

Time period = Total distance coveredVelocity=2πrv

Frequency = v2πr

The velocity (v2) and radius (r2) of the 2nd Bohr's orbit :

rn=(0.53×10−10n2/z)m

r2=(0.53×10−10(22)m=2.12×10−100m

vn=2.165×106(z/n)m/s

v2=2.165×106(1/2)=1.082×106m/s

Frequency=v22πr2=1.082×1062(π)(2.12×10−10)

v=8.13×1016Hz