J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    A proton, a deuteron and an alpha particle all having same momenta enter a uniform magnetic field and describe circular paths. The respective radii of their paths are in the ratio

    A)  \[4:2:1\]         

    B)  \[2:2:1\]

    C)  \[1:2:4\]         

    D)  \[1:1:1\]           

    Correct Answer: B

    Solution :

    Radius of the path \[r=\frac{\sqrt{2mK}}{qB}\] or \[r\propto \frac{\sqrt{1}}{q}\] \[{{r}_{p}}:{{r}_{d}}:{{r}_{\alpha }}=\frac{\sqrt{1}}{{{q}_{p}}}:\frac{\sqrt{1}}{{{q}_{d}}}:\frac{\sqrt{1}}{{{q}_{\alpha }}}\] \[\frac{1}{1}:\frac{1}{1}:\frac{1}{2}=2:2:1\]


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