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Q.

The velocity of an electron in excited state of H-atom is 1.093×106m/s. What is the circumference of this orbit?

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a

3.32×10−10m

b

6.64×10−10m

c

13.30×10−10m

d

13.28×10−8m

answer is C.

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Detailed Solution

v=vHx zn                          vH=2.186×1061.093×106=2.186×106×1nn=2 Circumference of the orbit =2πrn                                                =2π rH x n2  A0                                                  =2π.0.529x22 x10-10 m                                                          = 2×3.14×0.529×4×10−10⇒13.30×10−10m
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