The ratio of concentration of electrons and holes in a...

The ratio of concentration of electrons and holes in a semi-conductor is $(7 / 5)$ and the ratio of currents is $(7 / 4)$, then what is the ratio of their drift velocities?
(A) $(4 / 5)$
(B) $(5 / 6)$
(C) $(4 / 5)$
(D) $(5 / 4)$

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Key Concepts

Semiconductor Charge Carriers

In semiconductors, both electrons and holes act as charge carriers. Their concentrations (densities) directly influence the electrical properties of the material. Understanding how these carriers contribute to current is essential in analyzing semiconductor behavior.

Drift Velocity

Drift velocity is the average velocity at which charged particles, such as electrons or holes, move under the influence of an electric field. It plays a crucial role in determining the magnitude of current in a semiconductor, as current is directly proportional to the product of the charge, carrier concentration, and drift velocity.

Current Density Relationship

The current density in a semiconductor is given by the product of charge, carrier density, and drift velocity (I = qnv). This fundamental relationship links the microscopic motion of carriers (drift velocity) with the macroscopic observable (current), and is used to analyze how changes in carrier concentration affect electrical conduction.

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