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Question: According to second postulate of Bohr model, the angular momentum \(\left( L_{n} \right)\) of n<sup>...

According to second postulate of Bohr model, the angular momentum (Ln)\left( L_{n} \right) of nth possible orbit of hydrogen atom is given by

A

h2πn\frac{h}{2\pi n}

B

nh2π\frac{nh}{2\pi}

C

2πnh\frac{2\pi n}{h}

D

2πnh\frac{2\pi}{nh}

Answer

nh2π\frac{nh}{2\pi}

Explanation

Solution

Angular momentum

Ln=mvnrn=nh2π=nhL_{n} = mv_{n}r_{n} = \frac{nh}{2\pi} = nh

Where h = planks constant

rn=r_{n} = Radius of nth orbit

vnv_{n}= Velocity of electron in nth orbit