ELECTRIC CURRENT AND DRIFT VELOCITY
Current Electricity

268418 A current of \(16 \mathrm{~A}\) is made to pass through a conductor in which the number of density of free electrons is \(4 \times 10^{28} \mathrm{~m}^{-3}\) and its area of cross section is \(10^{-5} \mathrm{~m}^{2}\). The average drift velocity of free electrons in the conductor is
( \(M\)-2012)

1 \(1.6 \times 10^{-4} \mathrm{~ms}^{1}\)
2 \(2.5 \times 10^{-4} \mathrm{~ms}^{1}\)
3 \(6.4 \times 10^{-4} \mathrm{~ms}^{1}\)
4 \(3.2 \times 10^{-4} \mathrm{~ms}^{-1}\)
Current Electricity

268469 An electron of mass\(9 \times 10^{-31} \mathrm{~kg}\) moves around a nucleus in a circular orbit of radius \(2 \mathrm{~A}^{0}\) under theaction of centripetal force 3.2N. Then the equivalent electric current is

1 \(\frac{32}{3 \pi}\)
2 \(\frac{3 \pi}{32}\)
3 \(\frac{16}{3 \pi}\)
4 \(\frac{3 \pi}{16}\)
Current Electricity

268470 The current in a conductor varies with time ' \(\mathrm{t}\) ' as \(\mathrm{I}=\mathbf{2 - 0 . 0 2 t}\) ampers. The electric charge that passes from \(t=0\) to \(t=100 \mathrm{sec}\) is

1 \(50 \mathrm{C}\)
2 \(100 \mathrm{C}\)
3 \(25 \mathrm{C}\)
4 \(75 \mathrm{C}\)
Current Electricity

268514 The electron of hydrogen atom is considered to be revolving around the proton in circular orbit of radius \(\frac{\hbar^{2}}{\mathrm{me}^{2}}\) with velocity \(\frac{\mathrm{e}^{2}}{\hbar}\), where \(\hbar=\frac{\mathrm{h}}{2 \pi}\). The current \(\mathrm{I}\) is

1 \(\frac{4 \pi^{2} m e^{2}}{h^{2}}\)
2 \(\frac{4 \pi^{2} m e^{2}}{h^{3}}\)
3 \(\frac{4 \pi^{2} m^{2} e^{2}}{h^{3}}\)
4 \(\frac{4 \pi^{2} m e^{5}}{h^{3}}\)
Current Electricity

268418 A current of \(16 \mathrm{~A}\) is made to pass through a conductor in which the number of density of free electrons is \(4 \times 10^{28} \mathrm{~m}^{-3}\) and its area of cross section is \(10^{-5} \mathrm{~m}^{2}\). The average drift velocity of free electrons in the conductor is
( \(M\)-2012)

1 \(1.6 \times 10^{-4} \mathrm{~ms}^{1}\)
2 \(2.5 \times 10^{-4} \mathrm{~ms}^{1}\)
3 \(6.4 \times 10^{-4} \mathrm{~ms}^{1}\)
4 \(3.2 \times 10^{-4} \mathrm{~ms}^{-1}\)
Current Electricity

268469 An electron of mass\(9 \times 10^{-31} \mathrm{~kg}\) moves around a nucleus in a circular orbit of radius \(2 \mathrm{~A}^{0}\) under theaction of centripetal force 3.2N. Then the equivalent electric current is

1 \(\frac{32}{3 \pi}\)
2 \(\frac{3 \pi}{32}\)
3 \(\frac{16}{3 \pi}\)
4 \(\frac{3 \pi}{16}\)
Current Electricity

268470 The current in a conductor varies with time ' \(\mathrm{t}\) ' as \(\mathrm{I}=\mathbf{2 - 0 . 0 2 t}\) ampers. The electric charge that passes from \(t=0\) to \(t=100 \mathrm{sec}\) is

1 \(50 \mathrm{C}\)
2 \(100 \mathrm{C}\)
3 \(25 \mathrm{C}\)
4 \(75 \mathrm{C}\)
Current Electricity

268514 The electron of hydrogen atom is considered to be revolving around the proton in circular orbit of radius \(\frac{\hbar^{2}}{\mathrm{me}^{2}}\) with velocity \(\frac{\mathrm{e}^{2}}{\hbar}\), where \(\hbar=\frac{\mathrm{h}}{2 \pi}\). The current \(\mathrm{I}\) is

1 \(\frac{4 \pi^{2} m e^{2}}{h^{2}}\)
2 \(\frac{4 \pi^{2} m e^{2}}{h^{3}}\)
3 \(\frac{4 \pi^{2} m^{2} e^{2}}{h^{3}}\)
4 \(\frac{4 \pi^{2} m e^{5}}{h^{3}}\)
Current Electricity

268418 A current of \(16 \mathrm{~A}\) is made to pass through a conductor in which the number of density of free electrons is \(4 \times 10^{28} \mathrm{~m}^{-3}\) and its area of cross section is \(10^{-5} \mathrm{~m}^{2}\). The average drift velocity of free electrons in the conductor is
( \(M\)-2012)

1 \(1.6 \times 10^{-4} \mathrm{~ms}^{1}\)
2 \(2.5 \times 10^{-4} \mathrm{~ms}^{1}\)
3 \(6.4 \times 10^{-4} \mathrm{~ms}^{1}\)
4 \(3.2 \times 10^{-4} \mathrm{~ms}^{-1}\)
Current Electricity

268469 An electron of mass\(9 \times 10^{-31} \mathrm{~kg}\) moves around a nucleus in a circular orbit of radius \(2 \mathrm{~A}^{0}\) under theaction of centripetal force 3.2N. Then the equivalent electric current is

1 \(\frac{32}{3 \pi}\)
2 \(\frac{3 \pi}{32}\)
3 \(\frac{16}{3 \pi}\)
4 \(\frac{3 \pi}{16}\)
Current Electricity

268470 The current in a conductor varies with time ' \(\mathrm{t}\) ' as \(\mathrm{I}=\mathbf{2 - 0 . 0 2 t}\) ampers. The electric charge that passes from \(t=0\) to \(t=100 \mathrm{sec}\) is

1 \(50 \mathrm{C}\)
2 \(100 \mathrm{C}\)
3 \(25 \mathrm{C}\)
4 \(75 \mathrm{C}\)
Current Electricity

268514 The electron of hydrogen atom is considered to be revolving around the proton in circular orbit of radius \(\frac{\hbar^{2}}{\mathrm{me}^{2}}\) with velocity \(\frac{\mathrm{e}^{2}}{\hbar}\), where \(\hbar=\frac{\mathrm{h}}{2 \pi}\). The current \(\mathrm{I}\) is

1 \(\frac{4 \pi^{2} m e^{2}}{h^{2}}\)
2 \(\frac{4 \pi^{2} m e^{2}}{h^{3}}\)
3 \(\frac{4 \pi^{2} m^{2} e^{2}}{h^{3}}\)
4 \(\frac{4 \pi^{2} m e^{5}}{h^{3}}\)
Current Electricity

268418 A current of \(16 \mathrm{~A}\) is made to pass through a conductor in which the number of density of free electrons is \(4 \times 10^{28} \mathrm{~m}^{-3}\) and its area of cross section is \(10^{-5} \mathrm{~m}^{2}\). The average drift velocity of free electrons in the conductor is
( \(M\)-2012)

1 \(1.6 \times 10^{-4} \mathrm{~ms}^{1}\)
2 \(2.5 \times 10^{-4} \mathrm{~ms}^{1}\)
3 \(6.4 \times 10^{-4} \mathrm{~ms}^{1}\)
4 \(3.2 \times 10^{-4} \mathrm{~ms}^{-1}\)
Current Electricity

268469 An electron of mass\(9 \times 10^{-31} \mathrm{~kg}\) moves around a nucleus in a circular orbit of radius \(2 \mathrm{~A}^{0}\) under theaction of centripetal force 3.2N. Then the equivalent electric current is

1 \(\frac{32}{3 \pi}\)
2 \(\frac{3 \pi}{32}\)
3 \(\frac{16}{3 \pi}\)
4 \(\frac{3 \pi}{16}\)
Current Electricity

268470 The current in a conductor varies with time ' \(\mathrm{t}\) ' as \(\mathrm{I}=\mathbf{2 - 0 . 0 2 t}\) ampers. The electric charge that passes from \(t=0\) to \(t=100 \mathrm{sec}\) is

1 \(50 \mathrm{C}\)
2 \(100 \mathrm{C}\)
3 \(25 \mathrm{C}\)
4 \(75 \mathrm{C}\)
Current Electricity

268514 The electron of hydrogen atom is considered to be revolving around the proton in circular orbit of radius \(\frac{\hbar^{2}}{\mathrm{me}^{2}}\) with velocity \(\frac{\mathrm{e}^{2}}{\hbar}\), where \(\hbar=\frac{\mathrm{h}}{2 \pi}\). The current \(\mathrm{I}\) is

1 \(\frac{4 \pi^{2} m e^{2}}{h^{2}}\)
2 \(\frac{4 \pi^{2} m e^{2}}{h^{3}}\)
3 \(\frac{4 \pi^{2} m^{2} e^{2}}{h^{3}}\)
4 \(\frac{4 \pi^{2} m e^{5}}{h^{3}}\)