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)
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a
2πhc/e2
b
e2h/2πc
c
e2c/2πh
d
2πe2/hc
answer is D.
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Detailed Solution
Speed of electron in nth orbit (in CGS) vn=2πZe2nh (k = 1) For first orbit H2; n = 1 and Z = 1So v=2πe2h⇒vc=2πe2hc