Final answer:
The kinetic energy acquired by the electron in a hydrogen atom when it absorbs a light radiation can be calculated using E = hf, where E is the energy of the radiation and f is the frequency of the radiation.
Step-by-step explanation:
When an electron in a hydrogen atom absorbs a light radiation, it gains kinetic energy. To calculate the energy gained, we can use the equation E = hf, where E is the energy of the radiation, h is Planck's constant (6.626 x 10^-34 J·s), and f is the frequency of the radiation. In this case, the energy of the radiation is given as 1.08 x 10^-7 J.
Since the electron absorbs the radiation, we know that the energy gained will be equal to the energy of the radiation. Therefore, the kinetic energy acquired by the electron in the hydrogen atom is 1.08 x 10^-7 J.