The electrostatic force of repulsion between two positively charged ions carrying equal charge is 3.7 x 10^–9 N, when they are separated by a distance of 5 $\overset{\circ}{A}$ . How many electrons are missing from each ion?

Solution

Here given,
$Electrostatic force of repulsion - F = 3.7 \times 10^{- 9} N$

$Let us say charge is q_{1} = q_{2} = q distance between two charges - r = 5 Å = 5 \times 10^{- 10} m, To find the number of electrons missing - n = ?$

Using Coulomb's law,

   $F = \frac{1}{4 π \in_{0}} \frac{q_{1} q_{2}}{r^{2}}$

   $\Rightarrow 3.7 \times 10^{- 9} = 9 \times 10^{9} \frac{qq}{(5 \times 10^{- 10})^{2}} \Rightarrow q^{2} = \frac{3.7 \times 10^{- 9} \times 25 \times 10^{- 20}}{9 \times 10^{9}} = 10.28 \times 10^{- 38} ∴ q = 3.2 \times 10^{- 19} coulomb$

As    $q = ne$
$∴$    $n = \frac{q}{e} = \frac{3.2 \times 10^{- 19}}{1.6 \times 10^{- 19}} = 2$

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Electric Charges And Fields

The electrostatic force of repulsion between two positively charged ions carrying equal charge is 3.7 x 10^–9 N, when they are separated by a distance of 5 $\overset{\circ}{A}$ . How many electrons are missing from each ion?

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

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For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

The electrostatic force of repulsion between two positively charged ions carrying equal charge is 3.7 x 10–9 N, when they are separated by a distance of 5A∘ . How many electrons are missing from each ion?

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?b) Explain why two field lines never cross each other at any point?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The electrostatic force of repulsion between two positively charged ions carrying equal charge is 3.7 x 10^–9 N, when they are separated by a distance of 5 $\overset{\circ}{A}$ . How many electrons are missing from each ion?

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?