The area of cross-section, length and density of a piece of a metal of atomic weight 60 are 10 –6 m 2 , 1 m and 5 × 10 3 kg/m 3 respectively. Find the number of free electrons per unit volume if every atom contributes one free electron. Also find the drift velocity of electrons in the metal when a current of 16 A passes through it. Given that Avogadro's number N A = 6 × 10 23 /mol and charge on an electron e = 1.6 × 10 –19 C.
Text Solution
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Sol. As according to Avogadro's hypothesis,



Now as each atom contributes one electron, the number of electrons per unit volume

Further as here,

and as
nev d


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