Calculate the speed to which a stationary H atom would be accelerated if it absorbed a photon of wavelength 400 nm.4

v=9.98*10⁻⁴m/s

Explanation:

From De Broglie's wavelength equation which is expressed as

λ=h/p

where h=planks constant, with value 6.626*10⁻³⁴J

p is the momentum expressed as p=mv

where m=mass and v=velocity. Hence we can rewrite the wavelength equation as

λ=h/mv

mass of hydrogen is given as m=1.66*10⁻²⁴kg

hence if we make the speed the subject of formula we have

V=h/mλ

V=(6.626*10⁻³⁴J)/(1.66*10⁻²⁴kg*400*10⁻⁹)

v=9.98(10⁻³⁻³⁴⁺²⁴⁺⁹)

v=9.98*10⁻⁴m/s

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day