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A positron is an elementary particle identical to an electron except that its charge is +e. An electron and a positron can rotate about their center of mass as if they were a dumbbell connected by a massless rod. What is the orbital frequency for an electron and a positron1.0nm apart?

Short Answer

Expert verified

The orbital frequency for the electron and positron is1.125ร—105Hz

Step by step solution

01

Given information and formula used

Given :

Distance between the electron and positron : 1.0nm

Theory used :

The centripetal force is generated by electrostatic force. That is,

Fe=Fcโ‡’14ฯ€ฮต0ร—e2d2=mwยฒd2
02

Evaluating the required orbital frequency 

The positron has the same mass as the electron, and the distance between them is d=1x10-9.

The mass is equal, and the center of mass is at role="math" localid="1649128476171" d2=0.5x10-9

The centripetal force is generated by electrostatic force. So

Fe=Fcโ‡’14ฯ€ฮต0ร—e2d2=mwยฒd2โ‡’w2=9ร—10-9ร—(1.6x10-19)2ร—2(9.11ร—10-31)(1x10-9)3โ‡’w=7x105rad/s

We now have orbital frequency :

f=w2ฯ€=7x1052ร—3.14=1.125x105Hz

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