Q. Assertion: If the length of the conductor is doubled, the drift velocity will become half of the original value (keeping potential difference unchanged).
Reason : At constant potential difference, drift velocity is inversely proportional to the length of the conductor.

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Solution:

We know that in a conductor,
or
and
So, the value of drift velocity becomes (1)
From eq. 1 we can see is inversely related to length 1 because voltage is given constant.
So,
Therefore, if we double the length of the conductor then it's drift velocity becomes half. Hence assertion is true.
And the reason is the correct explanation of the assertion.