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Q.

The ratio of the speed of the electron in the first Bohr orbit of hydrogen and the speed of light is equal to (where e, h, and c have their usual meanings in cgs system)

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a

2πhc/e2

b

er2h/2πc

c

e2c/2πh

d

2πe2/hc

answer is D.

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Detailed Solution

vn=k2πe2nhWe know that in cgs system k=1∴ vn=2πe2nh ⇒v1=2πe2h So v1c=2πe2ch

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The ratio of the speed of the electron in the first Bohr orbit of hydrogen and the speed of light is equal to (where e, h, and c have their usual meanings in cgs system)