Instructions:

Solve the problems showing all the steps.

1.) The Particle Wave Duality:

1. Find the speed and kinetic energy of a neutron (1.675x10^-27 kg) that has a de Broglie wavelength =200 nm. Compare the energy with the average kinetic energy of a gas molecule at room temperature (20^o C). The average kinetic energy of a molecule in an ideal gas is given as K.E.=3/2 kT where k is the Boltzmann's constant and T is the temperature in Kelvin scale.
2. Repeat the calculation for an electron with mass 9.1x10^-31 kg.

2.) Photon Energy:

WTTL radio station in Madisonville broadcasts at 109.6 MHz with a radiated power of 45.0 kW. How many photons does it emit each second?

3.) Photoelectric Effect

The maximum velocity with which an electron is emitted from a photosensitive metal, when monochromatic light falls upon it is 3.75x10⁶ m/s. Calculate the stopping potential, given that charge of electron e=1.6x10^-19 C and mass of electron m=9.1x10^-31 kg.

4.) Photon Momentum

1. Calculate the momentum of a visible photon that has a wavelength of 650 nm.
2. Find the velocity of an electron having the same momentum.
3. What is the energy of the electron, and how does it compare with the energy of the photon?

5.) The Wave Nature of Matter

What is the wavelength of an electron accelerated through a 30.0-kV potential, as in a TV tube?