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Q.

How many times does species will have same radius as that Bohr’s orbit hydrogen in one second?                                                                                                     

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a

0.657×1015

b

6.57×1015

c

6.57×1010

d

65.7×1012

answer is B.

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Detailed Solution

For H – atom, V1V1=2πe2h,r1=h24π2me2

∴Circumference of 1st Bohr orbit = 2πr1

=2πh24π2me2=h22πme2

∴  Number of rounds by electrons in 1st orbit

=v12πr1=2πe2×2πme2h×h2=4π2me2h3

=6.57×1015round/s

 

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