a.Draw the wave function for a particle in a box at the n-3 energy level. b.Draw the probability distribution for a particle in a box at the n-3 energy level. C.A nanoparticle with mass equal to 15 x 10-27 g exists in a 10 nm one-dimensional box. What is the wavelength of radiation emitted when it decays from the n-3 level to the n- 2 level? For a 1 nm box?

the n= tate. vels for Hydrogen. rbed photon? + tion from the thi 4. A light bulb used in a slide projector draws a current of 6 amperes when operating on 120 volts. a. What is the resistance of the light bulbs in ohms? b. What is the power consumed by the light bulb in watts? C. If two identical slide projectors are connected in parallel across the same 120 Volt source, what is the total current drawn from the source?

9B. a) Do particles of matter have wave properties? b). Who was the first physicist to give a convincing answer to the question? c). As the speed of a particle increases, does its associated wavelength increase or decrease? Your answer

7. One electron is trapped in a one-dimensional square well potential with infinitely high sides. a. If you have a probe that has a width for electron detection Ax = 0.00350L in the x direction, for the first excited state ( n =2), what is the probability that the electron is found in the probe when it is centered at x = L/4, (hint: you can use an approximation for this - you do not need to do an integral)? b. What is the average number of electrons that you would detect using the probe described in part "b." centered at x = L/4, ifthe electron is in the first excited state (n = 2) for each experiment and you repeat the experiment N, =100,000 times?

Q2. An aluminum absorber of thickness 8 g/cm. The beam intensity is 8.24 J/ m s. a) Calculate the fraction of photons transmitted without interaction. b) What is the total transmitted beam intensity? c) What is the rate of energy absorption per unit mass in the aluminum?

Q1. A parallel beam of 1-MeV photons is normally incident on a sheet of uranium, 1.0 mm thick. The incident beam intensity is 104 MeV/ cm s. a) Calculate the energy fluence rate transmitted by the sheet. b) What fraction of the transmitted energy fluence rate is due to uncollided photons? c) What physical processes are responsible for energy transfer to the sheet? Given (µen/p)= 0.05 cm²/g p= 18.79 g/cm'.

3. The mass attenuation coefficient of copper is 0.0589 cm2/g for 1.0-MeV photons. Find required thickness of the protective copper shield in order to achieve 50 % reduction of X-Ray radiation intensity. The density of copper is 8.9 g/cm3. Kindly give elaborate and Explained answer .