Chlorine’s molecule · Estonian PhO 2012 #6

Physics · mechanics

Problem

Chlorine’s molecule, which is moving with a velocity

v = \SI{600}{m/s}

, absorbs a photon with a wavelength

\lambda = \SI{350}{nm}

and is divided into two atoms. The first atom’s velocity is measured to be

u = \SI{1600}{m/s}

, which perpendicular to the molecule’s initial velocity. Find the chlorine molecule’s binding energy if all the particles were at a state with minimal inner energy. Planck constant is $h = \SI{6,6e-34}{J.s}

, speed of light is

c = \SI{3,0e8}{m/s}

, chlorine’s atomic number is 35 and Avogadro constant is

N_A = \SI{6,0e23}{\text{mol}^{-1}}

. Photon’s energy is defined as

E = \frac{h c}{\lambda}$. It is presumed that a photon’s momentum is negligible compared to chlorine’s momentum.

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