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Q.

The mass and charge of an electron are m and e respectively. The momentum acquired by the electrons in l cm of wire when a current i starts to flow is

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a

mil e

b

mlie

c

mie l

d

emil

answer is A.

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Detailed Solution

If α be the area of cross-section of wire, then its volume is a l. Let n be the number of electrons per unit volume. Now, the number of electrons in the wire is n a L The mass of the electron is m and if its drift velocity be vd, then momentum acquired by the electrons is the momentum acquired by the wire. So, momentum acquired by the wirep=nalmvdWe know that vd=i/nae∴ p=nalm(i/nae)or p=mile
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