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Question

Consider a conductor of variable cross section in which current is flowing from cross section ‘1’ to ‘2’. Then which of the following is/are correct?

A
Current passing through both the cross sections is same
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B
Current through ‘1’ is less than that through ‘2’
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C
Drift velocity of electrons at ‘1’ is less than that at ‘2’
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D
Drift velocity is same at both the cross sections.
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Solution

The correct option is C Drift velocity of electrons at ‘1’ is less than that at ‘2’
Using the conservation of charge, it is evident that the amount of charge passing through 2 will be same as it is through 1. Hence current passing through 1 and 2 will be same.
Thus option A is correct and B is incorrect.
The relation between current and drift velocity is given by,
I=neAvd
Since current I, number of electrons per unit volume n and charge on electron remains constant for cross section 1 and 2, only cross sectional area A and drift velocity of electons vd changes.
vd1A
Since area of section 2 is less than that of 1, therefore drift velocity will be higher at section 2 as compared to that at section 1.
Hence option C is correct and D is incorrect.


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