Question 38 of 62beginner🔧 ApplyNumerical2 marks

A certain particle carries 2.5×102.5 \times 10⁻¹⁶ C of static electric charge. Calculate the number of electrons present in it.

Correct Answer

1562.5

Exercise: EXERCISES | Q: 2.38 | (Page 41)
For More Understanding

Explanation

The number of electrons is calculated by dividing the total static electric charge on the particle by the magnitude of the charge on a single electron.

Solution Steps

  1. Step 1: Identify the given values. Total charge on the particle = 2.5×10−162.5 \times 10^{-16} C. Charge on one electron = 1.6×10−191.6 \times 10^{-19} C.

  2. Step 2: Use the formula to calculate the number of electrons: Number of electrons = Total chargeCharge on one electron\frac{\text{Total charge}}{\text{Charge on one electron}}.

  3. Step 3: Substitute the values into the formula: Number of electrons = 2.5×10−16 C1.6×10−19 C\frac{2.5 \times 10^{-16} \text{ C}}{1.6 \times 10^{-19} \text{ C}}.

  4. Step 4: Calculate the final value: Number of electrons = 1.5625×103=1562.51.5625 \times 10^{3} = 1562.5.

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