An electron and a proton are projected with same velocity perpendicular to a magnetic field. (a) Which particle will describe the smaller circle? (b) Which particle will have greater frequency?
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Answer:
proton have greater circle as compare to electron.
and electrons will have more frequency.
Explanation:
r = mv/ qB
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The electron and proton will have different effect for frequency and area cover.
- The centripetal acceleration is mv²/r=qvB
- mv=qrB
- Frequency of revolving f=v/2πr
- f=qB/2πm
- f∝1/m
- So the electron having less mass than it will have the greater frequency.
- Now the radius depends upon the mass, as the proton having more mass then it will having the more radius of curvature.
- The electron will have less radius of curvature.
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