A) \[7.5\,\times \,{{10}^{6}}\,m/s\]
B) \[7.5\,\times \,{{10}^{4}}\,m/s\]
C) \[1.56\,\times \,{{10}^{16}}\,/s\]
D) \[3.12\,\times \,{{10}^{16}}\,/s\]
Correct Answer: A
Solution :
If the electron beam has no deflection in electric and magnetic field, then force due to electric field is equal to force due to magnetic field, then the velocity of electron \[v=\frac{E}{B}\left( \begin{align} & \text{Given:}B=0.0004\,W/{{m}^{2}} \\ & E=3000\,\text{V/m} \\ \end{align} \right)\] \[v=\frac{3000}{0.0004}\] \[=7.5\times {{10}^{6}}m/s\]
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