Question:

The momentum of an electron revolving in \(n ^{\text {th }}\) orbit is given by : (Symbols have their usual meanings)

Updated On: Dec 18, 2023
  • \(\frac{ nh }{2 \pi r }\)
  • \(\frac{ nh }{2 r }\)
  • \(\frac{n h}{2 \pi}\)
  • \(\frac{2 \pi r }{ nh }\)
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The Correct Option is A

Solution and Explanation

Therefore, the correct option is A: \(\frac{ nh }{2 \pi r }\)

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Concepts Used:

Momentum

It can be defined as "mass in motion." All objects have mass; so if an object is moving, then it is called as momentum.

the momentum of an object is the product of mass of the object and the velocity of the object.

Momentum = mass • velocity

The above equation can be rewritten as

p = m • v

where m is the mass and v is the velocity. 

Momentum is a vector quantity and  the direction of the of the vector is the same as the direction that an object.