Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A electric current of 16 A exists in a metal wire of cross section <img alt="\mathrm{10^{-6}\, m^{2}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B10%5E%7B-6%7D%5C%2C%20m%5E%7B

A electric current of 16 A exists in a metal wire of cross section \mathrm{10^{-6}\, m^{2}} and length 1m. Assuming one free electrons per atom. The drift speed of the free electrons in the wire will be
( Density of metal \mathrm{=5 \times 10^3 \mathrm{~kg} / \mathrm{m}^3,}  atomic weight \mathrm{=60} )

Option: 1

5 \times 10^{-3} \mathrm{~m} / \mathrm{s}


Option: 2

2 \times 10^{-3} \mathrm{~m} / \mathrm{s}


Option: 3

4 \times 10^{-3} \mathrm{~m} / \mathrm{s}


Option: 4

7.5 \times 10^{-3} \mathrm{~m} / \mathrm{s}


Answers (1)

best_answer

According to Avogadro's hypothesis
\mathrm{\frac{N}{N_A}=\frac{m}{M} \text { so } n=\frac{N}{V}=N_A \frac{m}{V M}=\frac{\rho N_A}{M}}

\mathrm{\text{Hence total number of atoms }\mathrm{n}=\frac{6 \times 10^{23} \times 5 \times 10^3}{60 \times 10^{-3}}}

\mathrm{=5 \times 10^{28} / \mathrm{m}^3}
As \mathrm{\mathrm{I}=\mathrm{n}_{\mathrm{e}}\, \mathrm{eA} \, \mathrm{v}_{\mathrm{d}}}

\mathrm{\text{Hence drift velocity }v_d=\frac{1}{n_e e A}}
\mathrm{v_d=\frac{16}{5 \times 10^{28} \times 1.6 \times 10^{-19} \times 10^{-6}}}
      \mathrm{=2 \times 10^{-3} \mathrm{~m} / \mathrm{s}}
 

Posted by

Deependra Verma

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech Admission 2025 Live: JEE Mains, SRMJEEE, MET registrations underway; MHT CET syllabus updates
anam-khan

Centre issues coaching guidelines, prohibits centres from using false claims like '100% selection'
anam-khan

BTech Admissions 2025 Live: JEE Mains, SRMJEE, VITEEE dates out; AEEE, MET registrations underway

Latest Question