MagnetismHard

Question

A beam of cathode  rays is accelerated by a potential V and then subjected to crossed electric (E) and magnetic field (B). such that the beam is not deflected. The specific charge of the cathode rays is given by ?

Options

A.
B.
C.
D.

Solution

When a beam of cathode rays (or electrons) are subjected to cross electric (E) and magnetic (B) fields, the beam is not defined, if
Force on electron due to magnetic field = Force on electron due to electric field
Bev = eE
or, v =          ...... (i)
If V is the potential difference between the anode and the cathode, then
mv2 = eV
         ...... (ii)
Substituting the value of v from equation (i) in equation (ii), we get

Specific charge of the cathode rays

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