Question

A certain particle carries 2.5 × 10^–16 C of static electric charge. Calculate the number of electrons present in it.

Answer 1

Given

• Total charge on the particle, \( Q = 2.5 \times 10^{-16}\,\text{C} \).
• Charge on one electron, \( e = 1.602 \times 10^{-19}\,\text{C} \).

Relation Used

The total charge is related to the number of electrons \(n\) by:

\[ Q = n \times e \Rightarrow n = \frac{Q}{e} \]

Calculation

\[ n = \frac{2.5 \times 10^{-16}}{1.602 \times 10^{-19}} \approx \frac{2.5}{1.602} \times 10^{3} \approx 1.56 \times 10^{3} \]

\[ n \approx 1560 \]

Final Answer

The particle contains approximately 1560 electrons.