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# Referring to Example 31–3 (a) Which state has a de Broglie

## Problem 93IP Chapter 31

Physics with MasteringPhysics | 4th Edition

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Problem 93IP

Referring to Example 31–3 (a) Which state has a de Broglie wavelength of 3.99 × 10−9 m? (b) What is the Bohr radius of this state?

Step-by-Step Solution:

Solution 92IP

Step 1 of 3</p>

Here, we have to calculate the state and the Bohr radius.

The radius of the nth orbit is,

Where  - state

- Radius of the 1st Bohr orbit

a)

Step 2 of 3</p>

The equation for the wavelength is,

Where,  - Circumference of the orbit or the length which the standing wave travels

Or,

Or,

Therefore,

Provided,

We know that,

Therefore,

_____________________________________________________________________________

b)

Step 3 of 3

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