Question

# Time taken by an electron to complete one revolution in the Bohr orbit of hydrogen atom in terms of its radius r and quantum number n is:

A
4π2mr2nh
B
2πrnh
C
π2r28πr2
D
nh28πr

Solution

## The correct option is B 4π2mr2nhWe need to find time taken by an e− to complete one revolution in Bohr orbit of H-atom in terms of radius ′r′ and quantum no. ′n′. We have two relations; Tn=2πrnvn   ...(i) mvnrn=nh2π   ...(ii) where, Tn=Time period             rn=radius             vn=velocity             n=Orbit number From equation (ii),        vn=nh2πmrn   ...(iii) Putting this value in equation (i), Tn=2πrnnh2πmrn=4π2mr2nhChemistry

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