# An electron gun w

Given:

Potential at collector, V = 100V

Magnetic field strength, B = 2.83 × 10-4 T

Radius of orbit traced by electron, r = 12.0 cm

Let specific charge (i.e. e/m) = K

Kinetic energy of an electron is given by:

KE = = eV

v = …(1)

Where,

M = mass of electron

v = velocity of electron

e = charge of electron

V = potential difference (accelerating potential)

We also know that the bending is caused by the magnetic field,

So we can write,

Magnetic force = centrifugal force

e × v × B = e × B = v = …(2)

Where,

e = Charge on electron

v = velocity of particle

B = magnetic field strength

m = mass of electron

By equating (1) and (2) we can write,

.  By putting the values in above equation we get,  Hence the specific charge is 1.7 × 10-11 C Kg-1.

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