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Q. 31

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1115

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Short Answer

a. What quantum number of the hydrogen atom comes closest to giving a 100-nm-diameter electron orbit?

b. What are the electron’s speed and energy in this state?

(a) The radius of a hydrogen atom in its nth state

(b) In the nth state, the speed is

See the step by step solution

Step by Step Solution

Part (a) Step 1 : Given information

The providing an electron orbit with a radius is 100 nano meters

Part (a) Step 2: Finding radius of a hydrogen atom 

We can begin by calculating the radius of a hydrogen atom in the nth state.

Part (b) Step 2: Given information

The given Electronic speed and energy in Bohr Hydrogen atom

Part (b) Step 2: Finding Electric speed 

In the nth state, we may now utilize the expression:

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