Q.

The product of angular speed and tangential speed of electron in nth orbit of hydrogen atom is

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a

Directly proportional to n2

b

Directly proportional to n3

c

Inversely proportional to n4

d

Independent of n

answer is C.

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Detailed Solution

velocity of an electron in the nth orbit is inversely proportional to n and radius of the nth orbit is directly proportional to n2v×ω=v×vr=v2r    v×ω  ∞1n21n2∞1n4
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The product of angular speed and tangential speed of electron in nth orbit of hydrogen atom is