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NEET Sample Paper NEET Sample Test Paper-27

  • question_answer
    In two H-atoms A and B the electrons move around the nucleus in circular orbits of radius r and 4r respectively. The ratio of the times taken by them to complete one revolution is

    A) \[1:4\]              

    B) \[1:2\]

    C) \[1:8\]            

    D)  \[2:1\]

    Correct Answer: C

    Solution :

    \[V\alpha \frac{1}{\sqrt{r}},{{V}_{A}}\alpha \frac{1}{\sqrt{r}},{{V}_{B}}\alpha \frac{1}{\sqrt{4r}}\] \[\frac{{{V}_{A}}}{{{V}_{B}}}=2\]                         \[{{t}_{A}}/{{t}_{B}}=\frac{{\scriptstyle{}^{2\pi r}/{}_{{{V}_{A}}}}}{{\scriptstyle{}^{2\pi 4r}/{}_{{{V}_{B}}}}}\]                         \[=\frac{1}{4}\times \frac{1}{2}=\frac{1}{8}\]             \[\therefore \]    \[\frac{{{t}_{A}}}{{{t}_{B}}}=1:8\]


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