Possible frequencies of an electron

Hi

Could someone kindly clarify the following?

**1. The problem statement, all variables and given/known data**

In its ground state the atom absorbs 2.3 × 10–19J of energy from a collision with an electron.

(i) Calculate all the possible frequencies of radiation that the atom may subsequently emit.

**2. Relevant equations**

E=hf

**3. The attempt at a solution**

Using h as the planck constant and E being given , I obtained a frequency of 3.5 x 10^14 Hz.

But how do I determine the possible frequencies?

Highly appreciate any suggestions.