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NEET Chemistry NEET PYQ-The Solid State

  • question_answer
    Lithium metal crystallises in a body centred cubic crystal. If the length of the side of the unit cell of lithium is 351 pm, the atomic radius of the lithium will be                                       [AIPMT (S) 2009]

    A) 240.8pm

    B) 151.8pm

    C) 75.5pm

    D) 300.5pm

    Correct Answer: B

    Solution :

    [b] In case of body centred cubic (bcc) crystal,
    \[\frac{d[B{{r}_{2}}]}{dt}=-\frac{3}{5}\frac{d[B{{r}^{-}}]}{dt}\]
    Hence, atomic radius of lithium, \[\frac{d[B{{r}_{2}}]}{dt}=-\frac{5}{3}\frac{d[B{{r}^{-}}]}{dt}\]
    \[\frac{d[B{{r}_{2}}]}{dt}=\frac{5}{3}\frac{d[B{{r}^{-}}]}{dt}\]                      \[\frac{d[B{{r}_{2}}]}{dt}=\frac{3}{5}\frac{d[B{{r}^{-}}]}{dt}\]


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