In a straight conductor of uniform cross-section charge q is flowing for time t. Let s be the specific charge of an electron. The momentum of all the free electrons per unit length of the conductor, due to their drift velocity only is

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$\frac{q}{t s}$

${(\frac{q}{t s})}^{2}$

$\sqrt{\frac{q}{ts}}$

qts

answer is A.

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Detailed Solution

$i = \frac{q}{t} = \frac{N e}{t}, s = \frac{e}{m}; \frac{momentum}{l} = \frac{N m V_{d}}{l}$

$V_{d} = \frac{i}{n e A} = \frac{q}{n e A t}$

$\frac{P}{l} = \frac{Nm}{l} \cdot \frac{q}{neAt} = \frac{N mq \times A l}{l ANet} = \frac{q}{st}$

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