The electrostatic potential energy between proton and α - particle separated by a distance 2A is:

Question

The electrostatic potential energy between proton and α - particle separated by a distance 2A is: (A) 20 × 10-18 J (B) 2.2 × 10-18 J (C) 34 × 10-19 J (D) None

Tardigrade Admin · Accepted Answer

P . E=(k q1 q2/r) ⇒ P . E=(9 × 109 × 1.6 × 10-19 × 2 × 1.6 × 10-19/2 × 10-10) P . E=(4.8 × 9/2) × 10-19 =21.6 × 10-19 J ≃ 2.2 × 10-18 J

Q. The electrostatic potential energy between proton and $α$ - particle separated by a distance $2 A$ is:

$20 \times 1 0^{- 18} J$

$2.2 \times 1 0^{- 18} J$

$34 \times 1 0^{- 19} J$

None

$P . E = \frac{k q _{1} q _{2}}{r}$
$\Rightarrow P . E = \frac{9 \times 1 0 ^{9} \times 1.6 \times 1 0 ^{- 19} \times 2 \times 1.6 \times 1 0 ^{- 19}}{2 \times 1 0 ^{- 10}}$
$P . E = \frac{4.8 \times 9}{2} \times 1 0^{- 19}$
$= 21.6 \times 1 0^{- 19} J$
$≃ 2.2 \times 1 0^{- 18} J$

Q. The electrostatic potential energy between proton and α - particle separated by a distance 2A is:

20×10−18J

2.2×10−18J

34×10−19J