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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

In the Bohr model of the hydrogen atom, an electron in the lowest energy state moves at a speed equal to 2.19 × 106 m/s in a circular path having a radius of 5.29 × 10−11 m. What is the effective current associated with this orbiting electron?

To determine
The effective current associated with orbiting electron.

Explanation

Given Info: Electron in its lowest energy state moves with the velocity 2.19×106ms-1 in a circular orbit of radius 5.29×1011m , Electron in its lowest energy state moves with the velocity 2.19×106ms-1 in a circular orbit of radius 5.29×1011m .

Explanation:

Formula to calculate the time period of electron is,

T=2πrv

  • T is the time period of electron,
  • r is the radius of circular orbit,
  • v is the velocity of electron,

Substitute 3.14 for π , 5.29×1011m for r and 2.19×106ms-1 for v in the above equation to find T .

T=2(3.14)(5.29×10-11m)2.19×106ms-1=1

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