Carbon, silicon and germanium have four valence electrons each.…

Question 6 of 9intermediate💡 UnderstandMCQ1 mark

Carbon, silicon and germanium have four valence electrons each. These are characterised by valence and conduction bands separated by energy band gap respectively equal to $(E_g)_{C}$ , $(E_g)_{Si}$ and $(E_g)_{Ge}$ . Which of the following statements is true?

Exercise: EXERCISES | Q: 14.3 | (Page Page 19)

For More Understanding

Explanation

The context clearly states: 'For C (diamond), Si and Ge, the energy gaps are 5.4 eV, 1.1 eV and 0.7 eV, respectively.' This means $(E_g)_{C} = 5.4$ eV, $(E_g)_{Si} = 1.1$ eV, and $(E_g)_{Ge} = 0.7$ eV. Therefore, $(E_g)_{C} > (E_g)_{Si} > (E_g)_{Ge}$ , which corresponds to option (C). The energy gap decreases as we move down Group IV elements from Carbon to Germanium.

Solution Steps

Step 1: From the context, identify the energy gap values: $(E_g)_{C} = 5.4$ eV, $(E_g)_{Si} = 1.1$ eV, $(E_g)_{Ge} = 0.7$ eV
Step 2: Arrange in descending order: 5.4 eV > 1.1 eV > 0.7 eV
Step 3: Write the inequality: $(E_g)_{C} > (E_g)_{Si} > (E_g)_{Ge}$
Step 4: Match with option (C)

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