What is the condition for maxima and minima?

What is the condition for maxima and minima?

Locating Local Maxima and Minima (Necessary Conditions) It states: Every function which is continuous in a closed domain possesses a maximum and minimum Value either in the interior or on the boundary of the domain. The proof is by contradiction.

What are the conditions for minima and maxima in an interference pattern?

At the points where a crest and a trough meet together, both waves cancel out each other (interference minima) and where two crests or two troughs meet together, they reinforce each other (interference maxima).

What is maximum interference?

Maximum interference is arithmetical difference between the minimum size of the hole and the maximum size of the shaft before assembly. Minimum interference is the difference between the maximum size of the hole and the minimum size of the shaft.

What is light interference?

Interference is the phenomenon in which two waves superpose to form the resultant wave of the lower, higher or same amplitude. The most commonly seen interference is the optical interference or light interference. This means that light waves coming out of a source do not have a constant amplitude, frequency or phase.

What is Maxima in calculus?

In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema), or on the entire domain (the global or …

Can two different bulbs similar in all respects act as coherent sources?

No, the two independent bulbs will not act as coherent sources because they won’t possess stable constant phase difference.

Does light same color obtained from different sources have same wavelength?

Coherent light sources emit lights of same wavelength and with a constant phase difference.

Why are coherent sources necessary?

a) Why are coherent sources necessary to produce a sustained interference pattern? Coherent sources have almost the same wavelength. Coherent sources are necessary to ensure that the positions of maxima and minima do not change with time. Thereby, producing a sustained interference pattern.

Why do two identical bulbs do not produce interference?

If two lightbulbs are placed side by side, no interference effects are observed because the light waves from one bulb are emitted independently of those from the other bulb. The emissions from the two lightbulbs do not maintain a constant phase relationship with each other over time.