JEE Main & Advanced Physics Semiconducting Devices Question Bank Solids and Crystals

  • question_answer
    Potassium has a bcc structure with nearest neighbour distance 4.525 Å. Its molecular weight is 39. Its density in kg/m3 is                                                                                     [DCE 1997]

    A)            900

    B)            494

    C)            602

    D)            802

    Correct Answer: A

    Solution :

                       Density \[\rho =\frac{nA}{N{{(a)}^{3}}}\] where n = 2 for bcc structure , A = 39 ´ 10?3 kg, N = 6.02 ´ 1023,  a \[=\frac{2}{\sqrt{3}}d=\frac{2}{\sqrt{3}}\times (4.525\times {{10}^{-10}})m\] (d = nearest neighbour distance = distance between centres of two neighbouring atoms \[=\frac{a}{\sqrt{2}}\]) On putting the values we get r = 907


You need to login to perform this action.
You will be redirected in 3 sec spinner