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# In the Bohr model of the hydrogen atom, an electron orbits ISBN: 9780130606204 3

## Solution for problem 42GP Chapter 6

Physics: Principles with Applications | 6th Edition

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Problem 42GP

In the Bohr model of the hydrogen atom, an electron orbits a proton at a distance of . The proton pulls on the electron with an electric force of . How many revolutions per second does the electron make?

Step-by-Step Solution:

Solution Step 1 of 4 The figure given below show the bohr’s model of hydrogen atom, where an electron revolves around the proton in nucleus with an orbital radius of r and with proton mass m. During such a uniform circular motion, there will be a force of attraction between two unlike polarity charges; coulombic force. Which will be equal to the centripetal force. Step 2 of 4 Centripetal force is the force that is acted on the object in circular motion, which is directed towards the center. As in figure below In the similar passion, the electron is revolving around the proton. So the centripetal force is given by the expression, F = F = mr 2 e c Where F isethe coulombic force,F is tce centripetal force, m is the mass of proton, r is the radius of the orbit and is the angular velocity or number of revolution per second.

Step 3 of 4

Step 4 of 4

##### ISBN: 9780130606204

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