Question:

The momentum of an electron revolving in nth orbit is given by: (Symbols have their usual meanings)

Updated On: Mar 19, 2025
  • \(\frac{nh}{2πr}\)

  • \(\frac{nh}{2r}\)

  • \(\frac{nh}{2\pi}\)

  • \(\frac{2πr}{nh}\)

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The Correct Option is A

Solution and Explanation

Angular momentum is an integral multiple of \(\frac{h}{2\pi}\)
mvr=\(\frac{nh}{2\pi}\)
So momentum mv=\(\frac{nh}{2\pi r}\)

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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.