An ionisation chamber, with parallel conducting plates as anode and cathodes has singly charged positive $5 \times 10^{7}$ ions per $c m^{3}$ . The electrons are moving toward the anode with velocity 0.4 m/s. The current density from anode to cathode is $4 m A / m^{2}$ . The velocity of positive ions moving towards cathode is

0.1 m/s

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0.4 m/s

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zero

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1.6 m/s

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Solution

The correct option is A 0.1 m/s
Current density of drifting electrons,
j=nev
$n = 5 * 10^{7} * 10^{6} m^{- 3}$
v=0.4 m/s
$e = 1.6 * 10^{- 19}$ C
$j = 3.2 * 10^{- 6} A m^{- 2}$
current density of ions
= $(4 - 3.2) * 10^{- 6}$
This gives v=0.1 m/s

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An ionisation chamber, with parallel conducting plates as anode and cathodes has singly charged positive 5×107 ions per cm3. The electrons are moving toward the anode with velocity 0.4 m/s. The current density from anode to cathode is 4mA/m2. The velocity of positive ions moving towards cathode is

The correct option is A 0.1 m/sCurrent density of drifting electrons, j=nevn=5∗107∗106m−3v=0.4 m/se=1.6∗10−19 Cj=3.2∗10−6Am−2current density of ions =(4−3.2)∗10−6This gives v=0.1 m/s

The correct option is A 0.1 m/s
Current density of drifting electrons,
j=nev
$n = 5 * 10^{7} * 10^{6} m^{- 3}$
v=0.4 m/s
$e = 1.6 * 10^{- 19}$ C
$j = 3.2 * 10^{- 6} A m^{- 2}$
current density of ions
= $(4 - 3.2) * 10^{- 6}$
This gives v=0.1 m/s