4.20 A magnetic field set up using Helmholtz coils (described in Exercise 4.16) is uniform in a small region and has a magnitude of 0.75 T. In the same region, a uniform electrostatic field is maintained in a direction normal to the common axis of the coils. A narrow beam of (single species) charged particles all accelerated through 15 kV enters this region in a direction perpendicular to both the axis of the coils and the electrostatic field. If the beam remains undeflected when the electrostatic field is 9.0 * 10–5 V m–1, make a simple guess as to what the beam contains. Why is the answer not unique?

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8 months ago

4.20 Magnetic field, B = 0.75 T

Accelerating voltage, V = 15 kV = 15 * 10 - 3 V

Electrostatic field, E = 9.0 * 10 5 V/m

Let the mass of electron = m, Charge of the electron = e, Velocity of the electron = v

Then kinetic energy of the electron = eV

1 2 m v 2 = eV or e m = v 2 2 V ………….(1)

Since the particle remains un-deflected by

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Physics Ncert Solutions Class 12th 2023

Physics Ncert Solutions Class 12th 2023

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