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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
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B
2πrnh
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C
π2r28πr2
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D
nh28πr
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Solution

The correct option is B 4π2mr2nh
We 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=4π2mr2nh

Chemistry

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