What is the frequency of radiation of maximum intensity

Question

Assignment:

Part 1

Question 1 : The walls of a blackbody cavity are at a temperature of 27° C. What is the frequency of the radiation of maximum intensity?

Question 2 : Assume that a 100 - W light bulb gives off 2.50% of its energy as visible light. How many photons of visible light are given off in 1.00 min? (Use an average visible wavelength of 550 nm)

Question 3 What is the energy of photons (joules) emitted by a 107.5 MHz FM radio station?

Question 4 What is the longest wavelength of light that will emit electrons from a metal whose work function is 3.50 eV?

Question 5 A metal with a work function of 2.40 eV is illuminated by a beam of monochromatic light. If the stopping potential is 2.5V, what is the wavelength of the light?

Question 6 What is the de Broglie wavelength of a 1000 kg car moving at a velocity of 25 m/s?

Question 7 A hydrogen atom in its ground state is excited to the n=5 level. It then makes a transition directly to the n=2 level before returning to its ground state.

a) What are the wavelengths of the emitted photons?

b) Would any of the emitted wavelengths be in the visible region?

Part 2

Question 1 What is the minimum uncertainty in the velocity of an electron that is known to be somewhere between 0.050 nm and 0.10 nm from a proton?

Question 2  The energy of the first excited state of a hydrogen atom is -0.34 eV ± 0.0003 eV. What is the average lifetime for this state?

Question 3 Knowing that a free neutron has a mean life of 900 s and a mass of m = 1.67 x 10?²7kg, what is the uncertainty in its mass in kg?

Question 4 For n=5, l = 4, what are the possible values of m_l and m_s?

Question 5 Draw the ground state energy level diagrams for nitrogen (N) and potassium (K).

Question 6 Calculate the magnitude of the angular momentum of an electron in the n = 7, l = 5 state of hydrogen.