NEET Sample Paper NEET Sample Test Paper-2

  • question_answer
    Which hydrogen like species will have the same radius as that of Bohr orbit of hydrogen atom?

    A)  \[n=2,\,L{{i}^{2+}}\]

    B)  \[n=2,\,B{{e}^{3+}}\]

    C)  \[n=2,\,H{{e}^{+}}\]

    D)  \[n=3,\,L{{i}^{2+}}\]

    Correct Answer: B

    Solution :

    \[r=\frac{0.529{{n}^{2}}}{Z}{{A}^{o}}\] \[Z=1\] for \[H\] \[{{r}_{H}}=\frac{0.529\,{{n}^{2}}}{1}{{A}^{o}}\] \[Z=4\]  for \[B{{e}^{3+}}\] \[{{r}_{Be}}^{3+}=\frac{0.529\,{{n}^{2}}}{4}{{A}^{o}}\] Given, \[{{r}_{H}}={{r}_{Be}}^{3+}\] Hence, it is equal, when \[n=2\] for \[B{{e}^{3+}}\] Thus    \[{{r}_{2}}(B{{e}^{3+}})={{r}_{{{1}_{(H)}}}}\]


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