Question

CalcuLate the velocity of an electron ejected if 300.0 mm of light is applied to the surface. A wavelength of 795 nm has sufficient energy to eject electrons.

Answer 1

To calculate the velocity of an electron ejected when 300.0 mm of light is applied to the surface, we need additional information to determine the frequency and calculate the velocity.

Step-by-step explanation:

To calculate the velocity of an electron ejected when 300.0 mm of light is applied to the surface, we can start by converting the wavelength of the light from nanometers to meters. The wavelength of 795 nm is equal to 795 × 10-9 meters. To find the velocity of the ejected electron, we can use the equation v = λf, where v is the velocity, λ is the wavelength, and f is the frequency. Since the question only provides the wavelength, we can't directly calculate the velocity without the frequency. Therefore, we need additional information to determine the frequency and calculate the velocity.

Answer 2

The equation relating velocity and wavelength is written below:

v = λf
where λ is the wavelength in m while f is frequency in 1/s.

Let's determine first the frequency from the speed of light:
c = distance/time, where c is the speed of light equal to 3×10⁸ m/s
3×10⁸ m/s = (300 mm)(1 m/1000 mm)/ time
time = 1×10⁻⁹ seconds
Since f = 1/t,
f = 1/1×10⁻⁹ seconds = 10⁹ s⁻¹

Thus,
v = (795×10⁻⁹ m)(10⁹ s⁻¹)
v = 795 m/s