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An electron in an atom is revolving round the nucleus in a circular orbit of radius 5.3 × 10-11 m with a speed of 3 × 106 m/s. Find the angular momentum of electron.

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Question

An electron in an atom is revolving round the nucleus in a circular orbit of radius 5.3 × 10-11 m with a speed of 3 × 106 m/s. Find the angular momentum of electron.

Numerical
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Solution

Given,

r = 5.3 × 10-11 m

v = 3 × 10m/s

m = 9.1 × 10-31 kg

L = ?

Angular momentum of electron is

L = m v r

= 9.1 × 10-31 × 3 × 10× 5.3 × 10-11 

= 1.447 × 10-34 kg m2/s

∴ Angular momentum of electron is 1.447 × 10-34 kg m2/s.

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2021-2022 (March) Set 1

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