The potential energy of two atoms in a molecule can sometimes be approximated by the morse function, u (r) = are(r-01.5 — 1)2 where r is the distance between the two atoms and a, r, and s are positive constants with s < < r. sketch this function for 0 < r < cc. find the equilibrium separation rip , at which u (r) is minimum. now write r = rox so that x is the displacement from equilibrium, and show that, for small displacements, u has the approximate form u = const kx 2 . that is, hooke's law applies. what is the force constant k?

The constant Hooke law is

k = 2 * A / S

Explanation:

To the force constant k Hooke law can use the Morse function as a:

U (r) = A * [ e ⁽ ᵇ ⁻ ⁿ / ˣ ⁾ - 1 ] ² - 1 ]

b = R , n = r₀ , x = s

U (r) = A * [ e ⁽ ᵇ ⁻ ⁿ / ˣ ⁾ - 1 ] e ⁽ ᵇ ⁻ ⁿ / ˣ ⁾ * ( - ¹ /ₓ ) = 0

e ⁽ ᵇ ⁻ ⁿ / ˣ ⁾ = 1

r₀ = R

r = r₀ + x , r = R + x  

U (x) = - A + A / 2 * 2 / s * x²

U (x) = const + ¹/₂ * k * x²

Solve k'

k = 2 * A / S

5 w for 1hr = 5x60x60 joules=300x60=3000x6=18,000j as total energy conversion. efficiency of bulb needed for radiant to thermal within 18000

a is the best answer your welcome