Q.

Time taken for an electron to complete one revolution in the Bohr orbit of hydrogen atom is

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a

4π2mr2nh

b

nh4π2mr

c

nh4π2mr2

d

h2πmr

answer is A.

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Detailed Solution

velocity of electron = V cm/s, Circumference = 2πrDistance travelled in one second = V cmv cm ... 1sec2πr cm ... ?Time taken for one revolution =2πrv                                             r=n2zr0We know  v=znv1Time taken for one revolution =2πn2zr0znv1                                             =n3z22πrov1       n=1; z=1                             Time taken for one revolution    =2πroV1                                                      =2πrnh2πmr                                                  =4π2mr2nh
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Time taken for an electron to complete one revolution in the Bohr orbit of hydrogen atom is