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Standard XII

Chemistry

Thomson's Discovery of Electrons

Calculate the...

Question

Calculate the drift speed of the electrons when $1 A$ of current exists in a coper wire of cross-section $2 {mm}^{2}$ . The number of free electrons per unit volume is $8.5 \times 10^{22}$ .

36.8 m/s

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36.8 mm/s

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63.8 m/s

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63.8 mm/s

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Solution

The correct option is A $36.8 m/s$
We know that,
$i = n e A v_{d}$

$\Rightarrow v_{d} = \frac{i}{n e A} = \frac{1}{8.5 \times 10^{22} \times 1.6 \times 10^{- 19} \times 2 \times 10^{- 6}}$

$\Rightarrow v_{d} = 36.8 m/s$

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Thomson's Discovery of Electrons

Standard XII Chemistry

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Calculate the drift speed of the electrons when 1 A of current exists in a coper wire of cross-section 2 mm2. The number of free electrons per unit volume is 8.5×1022.

The correct option is A 36.8 m/sWe know that, i=neAvd ⇒vd=ineA=18.5×1022×1.6×10−19×2×10−6 ⇒vd=36.8 m/s

Calculate the drift speed of the electrons when $1 A$ of current exists in a coper wire of cross-section $2 {mm}^{2}$ . The number of free electrons per unit volume is $8.5 \times 10^{22}$ .

The correct option is A $36.8 m/s$
We know that,
$i = n e A v_{d}$

$\Rightarrow v_{d} = \frac{i}{n e A} = \frac{1}{8.5 \times 10^{22} \times 1.6 \times 10^{- 19} \times 2 \times 10^{- 6}}$

$\Rightarrow v_{d} = 36.8 m/s$