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In a hydrogen atom a proton is fixed and an electron revolves around it in an orbit of radius . The electrostatic attraction provides the centripetal force. Find speed of the electron. Mass of an electron is and charge on it is .

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5 Potential due to a Group of Point Charges Potential is a scalar quantity. Therefore, the potential at any point due to a group of point-charges is found by calculating the potential due to each charge (as if the other charges were not present), and then adding algebraically the quantities so obtained. Thus, if a point is at distances and metre from the point charges and coulomb respectively, then the resultant potential at that point will be \[ V=\frac{1}{4 \pi \varepsilon_{0}}\left[\frac{q_{1}}{r_{1}}+\frac{q_{2}}{r_{2}}-\frac{q_{3}}{r_{3}}-\frac{q_{4}}{r_{4}}\right] \text { volt. } \] If there are point charges, the potential due to them at a point will be where is the distanco of the point from the charge . If the charge distributidn be continuous, then the summation in the above expression will be replaced by integration, that is, where is a differentia element of the charge distribution and is its distance from the point at which is to be calculated. If the charge is spread cottinuously over an area , then , where is surface density of charge. Then, we have where is a surface integfal. Similarly, if the charge is dptributed continuously within a volume , then where is volume density of charge and is a volume integral.
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Question Text
In a hydrogen atom a proton is fixed and an electron revolves around it in an orbit of radius . The electrostatic attraction provides the centripetal force. Find speed of the electron. Mass of an electron is and charge on it is .
TopicElectric Charges and Fields
SubjectPhysics
ClassClass 12
Answer TypeText solution:1
Upvotes68