Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A proton moving with a constant velocity passes through a region of space without any change in its velocity. If£ and B represent the electric and magnetic fields respectively this region of space may have: (1) \[E=0,\text{ }B=0\] (2) \[E=0,\text{ }B\ne 0\] (3) \[E\ne 0,\text{ }B\ne 0\] (4) \[E\ne 0,\text{ }B=0\]A) 1 and 2 are correct
B) 2 and 3 are correct
C) 1 and 4 are correct
D) 1, 2 and 3 are correct
Correct Answer: D
Solution :
if both E and B are zero, then\[\overrightarrow{{{F}_{e}}}\]and\[\overrightarrow{{{F}_{m}}}\]both are zero. Hence, velocity may remain constant. If\[E=0,B\ne 0\]but velocity is parallel or antiparallel to magnetic field, then\[\overrightarrow{{{F}_{e}}}\]and\[\overrightarrow{{{F}_{m}}}\]both are zero. If\[E\ne 0,B\ne 0\]but\[\overrightarrow{{{F}_{e}}}+\overrightarrow{{{F}_{m}}}=0,\]then also velocity may remain constant.
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