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Electrons drift with speed \({\mathrm{v}}_{\mathrm{d}}\) in a conductor with potential difference V across its ends. If …

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Electrons drift with speed \({\mathrm{v}}_{\mathrm{d}}\) in a conductor with potential difference V across its ends. If V is reduced to \(\left(\frac{\mathrm{V}}{2}\right)\), their drift speed will become :

a

\(\frac{{\mathrm{v}}_{\mathrm{d}}}{2}\)

b

\({\mathrm{v}}_{\mathrm{d}}\)

c

\(2{v}_{d}\)

d

\(4{v}_{d}\)

✓ Correct answer: a)

\(\frac{{\mathrm{v}}_{\mathrm{d}}}{2}\)

Explanation

The drift velocity \({v}_{d}\) is related to the potential difference V by the equation:\({v}_{d}=\frac{eV\zeta }{ml}\).

\({v}_{d}\alpha V\)
Thus, when the potential difference is halved, the drift velocity will also be halved

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