Final answer:
The kinetic energy of the ejected electrons can be calculated using the formula KE = hf - BE, where KE is the kinetic energy, hf is the energy of the incident photon, and BE is the work function of the metal.
Step-by-step explanation:
In order to calculate the kinetic energy of ejected electrons, we can use the formula KE = hf - BE, where KE is the kinetic energy, hf is the energy of the incident photon, and BE is the work function of the metal. Given that the frequency of the light is 2.50 x 10^15 Hz, and the work function of titanium is 6.93 x 10^-19 J, we can plug these values into the formula to find the kinetic energy. First, we need to convert the frequency to energy using the equation hf = h * f, where h is Planck's constant (6.626 x 10^-34 J*s). Plugging in the values, we get hf = (6.626 x 10^-34 J*s) * (2.50 x 10^15 Hz). Next, we subtract the work function from the energy of the incident photon to find the kinetic energy. Plugging in the values, we get KE = (6.626 x 10^-34 J*s * 2.50 x 10^15 Hz) - (6.93 x 10^-19 J). Finally, we can calculate the kinetic energy using the equation KE = (1.657 * 10^-18 J) - (6.93 x 10^-19 J), which gives us KE = 9.639 x 10^-19 J.