Q3 / 143 · NTA Abhyas (JEE Main) 2020 · Physics · Current Electricity

Every atom makes one free electron in copper. If 1.1 A Current is flowing in the wire of copper having 1 mm diameter, then the drift velocity (approx.) will be (density of copper =9×103 kg m-3 and atomic weight of copper  = 63)

  • Correct answer
    A
    0.1 mm s-1
  • B
    0.2 mm s-1
  • C
    0.3 mm s-1
  • D
    0.2 mm s-1

Solution

v⁡d⁡=i⁡n⁡Ae;  
where n⁡=NAρM⁡

=6.023×1026×9×10363=0.860×1029

=8.6×1028

and A=πD24=227×10-324 m2;

=1114×10-6 m2

vd=1.18.6×1028×1114×10-6×1.6 ×10-19

=19.6×10+3=100×10-496=1.0×10-4 m s-1

=0.1 mm s-1

Hence, the correct answer is option: 'A'.

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