Question #26051

Electron is moving in large inward magnetic field with speed 4 m/s and complete 2 revolution per sec if speed is increased to 8 m/s then revolutions will be...

Expert's answer

Electron is moving in large inward magnetic field with speed 4m/s4\,\mathrm{m/s} and complete 2 revolution per sec if speed is increased to 8m/s8\,\mathrm{m/s} then revolutions will be...

Solution

In large inward magnetic field electron is moving on a circle. For movement on a circle


v=ωR.v = \omega R.


Then


v1=ω1Randv2=ω2Rω2=ω1v2v1=284=4 revolution per secv_1 = \omega_1 R \quad \text{and} \quad v_2 = \omega_2 R \rightarrow \omega_2 = \frac{\omega_1 v_2}{v_1} = \frac{2 * 8}{4} = 4 \text{ revolution per sec}


Answer: 4 revolution per sec.

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