If the ratio of the concentration of electrons to that of holes in a semiconductor is 7/5 and the ratio of currents is 7/4 , then what is the ratio of - Physics MCQ AIEEE 2006 2026 | ExamTest.live | ExamTest.live

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If the ratio of the concentration of electrons to that of holes in a semiconductor is 7/5 and the ratio of currents is 7/4, then what is the ratio of their drift velocities?

A $4/7$
B $5/8$
C $4/5$
D $5/4$

Solution & Step-by-step Explanation

Current I = n e A v_{d} .Ratio of currents \frac{I _{e}}{I _{h}} = \frac{n _{e} e A v _{d e}}{n _{h} e A v _{d h}} = \frac{n _{e} v _{d e}}{n _{h} v _{d h}} .Given \frac{n _{e}}{n _{h}} = \frac{7}{5} and \frac{I _{e}}{I _{h}} = \frac{7}{4} . \frac{7}{4} = (\frac{7}{5}) \frac{v _{d e}}{v _{d h}} \frac{v _{d e}}{v _{d h}} = \frac{7}{4} \times \frac{5}{7} = \frac{5}{4}

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If the ratio of the concentration of electrons to that of holes in a semiconductor is 7/5 and the ratio of currents is 7/4, then what is the ratio of their drift velocities?

A

4/7

B

5/8

C

4/5

D

5/4

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