A) \[50\,\,\mu \]sec
B) \[25\,\,\mu \]sec
C) \[10\,\,\mu \]sec
D) \[5\,\,\mu \]sec
Correct Answer: C
Solution :
[c] Time taken by proton to make one revolution \[=\frac{25}{5}=5\mu \,\,\sec \] As \[T=\frac{2\pi m}{qB};\]so \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{{{m}_{2}}}{{{m}_{1}}}\times \frac{{{q}_{1}}}{{{q}_{2}}}\] or \[{{T}_{2}}={{T}_{1}}\frac{{{m}_{2}}\,{{q}_{1}}}{{{m}_{1}}\,{{q}_{2}}}=\frac{5\times 4\,{{m}_{1}}}{{{m}_{1}}}\times \frac{q}{2q}=10\mu \sec .\]
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