Consider an electron orbiting around a proton with an orbital radius of R = 4.77-10-¹0 m. What is the -31 orbital frequency of the electron motion? Use me = 9.11 x 10 kg, e = 1.6 x 10-19 C, and k = 9 x 10⁹ Nm²/C². The frequency, fo = 2.4205E14✓ Units Hz By how much would this frequency increase (assume the same orbital radius) if an external magnetic field of B = 1.5 T is applied to the system along the the electron axis of rotation? Hint: For equation like, X² = X² + X · Y, if the second term is much smaller than the first one (Y < X₁ Y ), then the approximate solution for X can be writen as: X≈ X₁ +. So the solution is shifted by 2 Y 2 The increase in the frequency, Af = 30000000(x Units Hz

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Consider an electron orbiting around a proton with an orbital radius of R = 4.77 · 10-10 m. What is the
orbital frequency of the electron motion? Use me = 9.11 × 10- kg, e = = 1.6 × 10-1⁹ C, and
k = 9 × 10⁹ Nm²/C².
-31
The frequency, fo = 2.4205E14✔ Units Hz
By how much would this frequency increase (assume the same orbital radius) if an external magnetic field
of B = 1.5 T is applied to the system along the the electron axis of rotation?
Hint:
Y
For equation like, X² = X² + X · Y, if the second term is much smaller than the first one (Y << Xo
), then the approximate solution for X can be writen as: X ≈ X₁ + So the solution is shifted by
2
Y
2
The increase in the frequency, Af = 30000000(x Units Hz
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Transcribed Image Text:Consider an electron orbiting around a proton with an orbital radius of R = 4.77 · 10-10 m. What is the orbital frequency of the electron motion? Use me = 9.11 × 10- kg, e = = 1.6 × 10-1⁹ C, and k = 9 × 10⁹ Nm²/C². -31 The frequency, fo = 2.4205E14✔ Units Hz By how much would this frequency increase (assume the same orbital radius) if an external magnetic field of B = 1.5 T is applied to the system along the the electron axis of rotation? Hint: Y For equation like, X² = X² + X · Y, if the second term is much smaller than the first one (Y << Xo ), then the approximate solution for X can be writen as: X ≈ X₁ + So the solution is shifted by 2 Y 2 The increase in the frequency, Af = 30000000(x Units Hz Question Help: Message instructor Post to forum Submit Question ✓✓.
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