Question:
Arrange the following dispersion graphs in decreasing order of their corresponding density of states.
Arrange the following dispersion graphs in decreasing order of their corresponding density of states.
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Density of states tells how many energy states are available in a small energy range.
Updated On: May 19, 2026
- A \(>\) D \(>\) C \(>\) B
- D \(>\) C \(>\) B \(>\) A
- A \(>\) B \(>\) C \(>\) D
- B \(>\) C \(>\) A \(>\) D
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The Correct Option is B
Solution and Explanation
Concept:
Density of states depends on the nature of the dispersion curve and the number of available states in an energy interval.
Step 1: Understand density of states.
Density of states represents the number of allowed energy states available per unit energy interval. \[ DOS=\text{number of states per energy interval} \]
Step 2: Compare graphs.
A graph with larger available number of states for a given energy interval has higher density of states.
Step 3: Decreasing order.
From the given dispersion graphs, the decreasing order of density of states is: \[ D>C>B>A \] \[ \therefore \text{Correct Answer is (B)} \]
Density of states depends on the nature of the dispersion curve and the number of available states in an energy interval.
Step 1: Understand density of states.
Density of states represents the number of allowed energy states available per unit energy interval. \[ DOS=\text{number of states per energy interval} \]
Step 2: Compare graphs.
A graph with larger available number of states for a given energy interval has higher density of states.
Step 3: Decreasing order.
From the given dispersion graphs, the decreasing order of density of states is: \[ D>C>B>A \] \[ \therefore \text{Correct Answer is (B)} \]
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