Question
  1. Write outer electronic configuration of Cr atom. Why are half filled orbitals more stable?
  2. An electron has a velocity of 50ms-1, accurate upto 99.99%. Calculate the uncertainty in locating its position. (Mass of electron = 9.1 × 10-31kg, h = 6.6 × 10-34Js)
  3. Write the atomic number of the element in which filling of 3d sub-shell in the atom just starts.

Answer

  1. Cr(24): 1s2 2s2 2p6 3s2 3p6 4s1 3d5

Half filled orbitals are more stable because of symmetrical distribution of electrons and exchange energy is maximum.

  1. $\Delta\text{V}=50\times\big[(100-99.99)\%\big]$

$=50\times\frac{0.01}{100}=50\times10^{-4}$

$=5\times10^{-3}\text{ms}^{-1}$

$\Delta\text{x}.\Delta\text{V}=\frac{\text{h}}{4\pi\text{m}}$

$\Delta\text{x}\times5\times10^{-3}\text{ms}^{-1}=\frac{6.6\times10^{-34}\text{Js}}{4\times3.142\times9\times10^{-31}\text{kg}}$

$\Rightarrow\Delta\text{x}=\frac{6.6\times10^{-34}\text{Js}}{4\times3.142\times9.1\times10^{-31}\text{kg}\times5\times10^{-3}\text{ms}^{-1}}$

$=1.154\times10^{-2}\text{m}$

  1. Scandium (Atomic number 21) is the element in which filling of 3d orbitals starts.

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