A beam of cathode rays is subjected to crossed electric (E) and magnetic fields (B). The fields are adjusted such that the beam is not deflected. The specific charge of the cathode rays is given by (Where V is the potential difference between cathode and anode)
- B22VE2
- 2VB2E2
- 2VE2B2
- E22VB2
Answer
(4) E22VB2
Solution
No deflection eE = evB v = EB
Energy gained in the accelerating potential: eV = 12mv2
em = v22V
em = E22VB2
Answer: (4)