What is the Coulomb's force between two α -particles separated by a distance of 3.2 × 10-15 m ?

Question

What is the Coulomb's force between two α -particles separated by a distance of 3.2 × 10-15 m ? (A) 90 N (B) 45 N (C) 60 N (D) 75 N

Tardigrade Admin · Accepted Answer

Here, r=3.2 × 10-15 m Charge on α -particles, q1=q2=2 × 1.6 × 10-19 C Now, F=(1/4 π ε0) ⋅ (q1 q2/r2) =9 × 109 × ((2 × 1.6 × 10-19)2/(3.2 × 10-15)2)=90 N

Q. What is the Coulomb's force between two $α$ -particles separated by a distance of $3.2 \times 1 0^{- 15} m ?$

90 N

45 N

60 N

75 N

Here, $r = 3.2 \times 1 0^{- 15} m$
Charge on $α$ -particles, $q_{1} = q_{2} = 2 \times 1.6 \times 1 0^{- 19} C$
Now, $F = \frac{1}{4 π ε _{0}} \cdot \frac{q _{1} q _{2}}{r ^{2}}$
$= 9 \times 1 0^{9} \times \frac{( 2 \times 1.6 \times 1 0 ^{- 19} ) ^{2}}{( 3.2 \times 1 0 ^{- 15} ) ^{2}} = 90 N$

Q. What is the Coulomb's force between two α -particles separated by a distance of 3.2×10−15m?