Easy INTEGER +4 / -1 PYQ · JEE Mains 2021

In a semiconductor, the number density of intrinsic charge carries at 27$^\circ$C is 1.5 $\times$ 1016/m3. If the semiconductor is doped with impurity atom, the hole density increases to 4.5 $\times$ 1022/m3. The electron density in the doped semiconductor is ___________ $\times$ 109/m3.

Answer (integer) 5

Solution

${n_e}{n_h} = {n_i}^2$<br><br>$${n_e} = {{{n_i}^2} \over {{n_h}}} = {{{{(1.5 \times {{10}^{16}})}^2}} \over {4.5 \times {{10}^{22}}}}$$<br><br>$= {{1.5 \times 1.5 \times {{10}^{32}}} \over {4.5 \times {{10}^{22}}}}$<br><br>$= 5 \times {10^9}$/m<sup>3</sup>

About this question

Subject: Physics · Chapter: Electronic Devices · Topic: Semiconductors

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