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Alchen [17]
3 years ago
11

A positron is an elementary particle identical to an electron except that its charge is . 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 positron 1.50 apart?
Physics
1 answer:
denis23 [38]3 years ago
7 0

Explanation:

According to the energy conservation,

          F_{centripetal} = F_{electric}

            \frac{mv^{2}}{r} = \frac{kq^{2}}{d^{2}}

           v^{2} = \frac{kq^{2}r}{d^{2}m}

                 = \frac{9 \times 10^{9} N.m^{2}/C^{2} \times 1.6 \times 10^{-19} C \times 0.75 \times 10^{-9} m}{(1.50 \times 10^{-9}m)^{2} \times 9.11 \times 10^{-31} kg}

                = 8.430 \times 10^{10} m^{2}/s^{2}

             v = \sqrt{8.430 \times 10^{10} m^{2}/s^{2}}

                = 2.903 \times 10^{5} m/s

Formula for distance from the orbit is as follows.

               S = 2 \pi r

                  = 2 \times 3.14 \times 0.75 \times 10^{-9} m

                  = 4.71 \times 10^{-9} m

Now, relation between time and distance is as follows.

                T = \frac{S}{v}

       \frac{1}{f} = \frac{S}{v}

or,           f = \frac{v}{S}          

                = \frac{2.903 \times 10^{5} m/s}{4.71 \times 10^{-9} m}      

                = 6.164 \times 10^{13} Hz

Thus, we can conclude that the orbital frequency for an electron and a positron that is 1.50 apart is 6.164 \times 10^{13} Hz.

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