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Q.

A potential difference 30 V is applied between the ends of a conductor of length 100 m and resistance 0.5Ω . The conductor has a uniform cross-section. Find the total linear momentum of free electrons.

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a

3.4×10−8kg⋅m/s

b

6.8×10−8kg⋅m/s

c

10−9kg⋅m/s

d

3.4×10−9kg⋅m/s

answer is D.

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Detailed Solution

P=(N)mVd       [where m= mass of each electron ]

=(nAl)mVd

=Ilme   ∵Vd=I Ane ⇒nAVd=Ie

=VRlme=300.5×100×9.1×10−311.6×10−19

=3.4×10−8kg⋅m/s

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