Problem 2. In diffraction experiments involving multiple wavelengths of light passing through the same aperture, the higher order maxima of one wavelength can coincide with a lower order maxima of a longer wavelength. In the above diffraction experiment, the 3rd maxima of 600 nm light is found to coincide with the 4th maxima of a different wavelength of light. What is the other wavelength?

1) what is a diffraction grating

2) why do we use "discharge tube" to perform the experiment instead of a light bulb

3)If "d " is the grating constant (spacing in between two slits on a grating), hoe can we obtain the ruling (number of grooves per meter) "D"?

4) Define " order of diffraction" and illustrate it using a drawing

Describe an experiment to determine if a resistor models ohms law.

(i) Draw a diagram of the experimental setup. Label all the measured quantities and draw or state what equipment is used.

(ii) Describe the overall procedure including any necessary steps to reduce experimental uncertainty. It should be thorough enough so that another lab student can follow the directions.

In a Young's double-slit experiment the wavelength of light used is 469 nm (in vacuum), and the separation between the slits is 2.1 × 10^-6 m. Determine the angle that locates (a) the dark fringe for which m = 0, (b) the bright fringe for which m = 1, (c) the dark fringe for which m = 1, and (d) the bright fringe for which m = 2.

A group of students perform the same "Conservation of Mechanical Energy" experiment that you performed in lab by allowing a solid sphere and then a solid cylinder to roll down the ramp. Both objects were released from the same position at the top of the ramp. If the speed v_sphere of the solid sphere at the bottom of the ramp was  1.25 m/s, what would be the speed v_cylinder at the bottom of the ramp?

Computational Intelligence Methods

ii) Describe the process that has been followed to implement a Multi-layer Perceptron for handwritten digit recognition as presented in the lecture (the code is included in the accompanying Jupyter Notebook ipynb file). Experiment by changing the network's architecture (number of neurons in hidden layer and number of hidden layers) and comment on how the accuracy of the network is affected by these changes.

Please answer this question by typing. The answer should be one page A4.

1. Reynolds experiment is used to study flow behavior of fluids by slowly and steadily injecting dye into a pipe. The state of fluid flow will be determined and compared with the results from the calculation of the Reynolds number.
   1. Discuss observations made in the Reynolds number.
   2. Analyze various factors which effect the flow of fluids.

Propose a research study on the effects of warming climate and resulting advancing treeline. Assume that your hypothesis is that a bird's growth and reproduction will be negatively affected by the advancing treeline. The bird resides in one forest and flies at high elevations. What is an experiment that could take place? List the research design and methods. What are the materials, replicates for treatments, sampling and measurement procedures?

Drug money extract in the 5.0 mL methanol containing cocaine gave a signal of 4.27 mV in a GC-FID experiment. Then 500 L of 20.0 ppm cocaine were added to the 5.0 mL methanolic extract. This spiked solution sample gave a signal of 7.98 mV. Find the concentration of cocaine in the original extract, in ppm, in mol/L, in g.