The process of distillation is used to separate a mixture of volatile liquids by their boiling points. This is done by heating a mixture of liquids, condensing whatever gets evaporated, and then filtering out the individual components one by one. Crystallization is a time intensive purification process that allows for the formation of a compound's crystals, and separates molecules based on solubility. Thin layer chromatography is a quick technique used to analyze non-volatile mixtures and is performed on a sheet of silica (which acts as the stationary phase). Column chromatography is another purification method used to separate the components of mixture. Infrared spectroscopy is an analyzation technique, not a separation technique.

Both the photoelectric effect and the flame test display the effects of excited electrons releasing energy as they move from higher to lower quantum levels. The mass defect effect refers to the energy input needed to create the strong nuclear force, which binds the nucleus of an atom together. Electron shielding is an effect that relates to bonding and effective nuclear charge. Van der Waals forces are weak molecular forces that do not relate to energy releases exhibited by the flame test. Relativity is a phenomenon in physics relating to the space and time of two objects and their motion relative to each other. 

To solve this problem we need to use the following equation:

Where,  = speed of light = . The speed of light is constant. 

 = wavelength (units = meters)

 = frequency (units = Hertz  or 

First, convert the  given in the problem to meters because the units on the speed of light are . 

Now we can plug the wavelength and the speed of light into the equation above and solve for frequency. 

To solve this problem we need to use the following equation:

Where  = speed of light = . The speed of light is constant. 

 = wavelength (units = )

 = frequency (units =  or )

The frequency given in the problem and the speed of light can be plugged into the equation above to solve for wavelength. 

To solve this problem we need to use the following equation:

where, 

 = speed of light = . The speed of light is constant. 

 = wavelength (units = )

 = frequency (units =  or )

First, convert the  given in the problem to Hertz because the units on the speed of light are meters per second. 

Now we can plug the wavelength and the speed of light into the equation above and solve for frequency. 

In this question, we're asked to identify a laboratory procedure that is best suited for separating two liquids of different boiling points in a mixture.

Let's go through each of the procedures listed in the answer choices to see what they do.

Chromatography is a procedure used to separate mixtures based on the fact that different molecules will adhere differently, depending on the type of chromatography used. For instance, ion-exchange chromatography is a technique often employed in biochemistry in order to separate positively or negatively charged peptides from a larger sample. However, chromatography would not be the best technique to separate two liquids that make up a homogenous mixture.

Centrifugation is a technique used to separate bulk particles from one another in a solution. As a result of spinning the sample at extremely high speeds, the tremendous centripetal force causes the particles to sediment at different rates due to differences in their physical properties such as size, shape, and weight. As an example, healthcare professionals can centrifuge a patient's blood in order to determine the various proportions of red blood cells among other things. This gives them information that can help them diagnose illnesses in the patient. However, centrifugation would not be an appropriate technique to separate two liquids in a homogenous mixture.

Electrophoresis is another separation technique. A sample is added to a plate containing a thick gel such as agarose. The two ends of the plate are oppositely charged, with a resulting electric field between the ends. This setup allows for the sample to travel through the agarose gel from one end towards the other. Due to differences in size and shape of the sample, different compounds will travel through the thick gel at different rates. This technique is often useful in biochemistry, for example, where scientists can separate proteins or nucleic acids to provide them with a wealth of information. This technique, however, would not prove useful for separating liquids.

Distillation is the answer we are looking for. It is a technique used to separate a mixture of two liquids due to differences in boiling point. In this technique, enough heat is added to the mixture in order to bring the temperature to the boiling point of the compound that has a lower boiling point. As a result, the liquid with the lower boiling point will boil, while the other liquid will remain as a liquid. The gas given off by boiling is collected in another container and condensed back into the liquid state. Some variations on distillation allow for more efficient separation. For example, fractional distillation is a process that allows for the separation of two liquids that have boiling points closer to one another. In the fractional version, the gas given off by the boiling liquid ascends through a column. As the gas rises, some of it condenses on the column. This condensed liquid contains some of both liquids still, but it has a relatively larger percentage of the liquid with the lower boiling point. However, this small amount of liquid will then re-boil, turning into gas. This process keeps repeating itself, but due to even a small difference in boiling points, the gas that is given off each time will contain a progressively larger proportion of the liquid that has a lower boiling point. Thus, fractional distillation has the potential to be much more efficient than simple distillation.