Respuesta :
Answer:
-4.37 * 10^(-18) J
Explanation:
Parameters given:
Charge of a proton, Qp = 1.6022 * 10^(-19) C
Charge of an electron, Qe = -1.6022 * 10^(-19) C
Distance between proton and electron, d = 0.529 × 10^(−10) m
The amount of work done is given as:
W = F * d
Where F = electrostatic force
d = distance between them
Electrostatic force is given as:
F = (k * Qp * Qe) / d²
F = (9 * 10^9 * 1.6022 * 10^(-19) * -1.6022 * 10^(-19)) / (0.529 × 10^(−10))²
F = -8.26 * 10^(-8) N
Work done will be:
W = -8.26 * 10^(-8) * 0.529 × 10^(−10)
W = -4.37 * 10^(-18) J
Given Information:
distance between electron and proton = d = 0.529x10⁻¹⁰ m
charge on electron = q₁ = -1.60x10⁻¹⁹ C
charge on proton = q₂ = 1.60x10⁻¹⁹ C
Required Information:
Work done = W = ?
Answer:
Work done = 4.35x10⁻¹⁸ Joules
Explanation:
We know that work done is given by
Work done = kq₁q₂/r
Where q₁ is the charge on electron, q₂ is the charge on proton and k is the coulomb constant and its value is 9x10⁹ Nm²/C²
Work done = (9x10⁹*-1.60x10⁻¹⁹*1.60x10⁻¹⁹)/0.529x10⁻¹⁰
Work done = 4.35x10⁻¹⁸ Joules
Therefore, 4.35x10⁻¹⁸ Joules of work is required to bring electron from a distance of 0.529x10⁻¹⁰ m towards the proton to form a hydrogen atom.
