Question 7 of 29intermediate🔧 ApplyNumerical3 marks

If a current of 0.5 ampere flows through a metallic wire for 2 hours, then how many electrons would flow through the wire?

Correct Answer

2.25×102.25 \times 10²² electrons would flow through the wire.

Exercise: Intext Questions | Q: 2.10 | (Page Page 24)
For More Understanding

Explanation

This question tests the relationship between current, charge, and electrons. From the context, we use the formula Q = It to find total charge, and the charge on one electron (1.6021×101.6021 \times 10⁻¹⁹ C) to calculate the number of electrons. The key steps are: convert time to seconds, calculate total charge, then divide by charge per electron.

Solution Steps

  1. Step 1: Convert time to seconds. Time (t) = 2 hours = 2×602 \times 60 × 60 = 7200 s

  2. Step 2: Calculate total charge using Q = It. Q = 0.5 A × 7200 s = 3600 C

  3. Step 3: Calculate number of electrons. Charge on one electron = 1.6021×101.6021 \times 10⁻¹⁹ C. Number of electrons = Total charge / Charge on one electron = 3600 / (1.6021×101.6021 \times 10⁻¹⁹) = 2.25×102.25 \times 10²² electrons

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