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Raindrop makes in still water are circles why do they make circles?
Waves transfer energy outward equally. Since there is no barrier to the water, when a raindrop hits the water that energy of the raindrop falling has to go somewhere, the energy is transferred from the raindrop to the water and goes outward from the epicenter (where the raindrop fell). The waves (circles) will continue to travel an equal distance unless there is an outside force such as wind, another object, ect. to stop the wave
An example how trigonometric functions are used to explain a real life occurance?
The obvious answer is the relationships between the sides and angles of triangles. Waves in the sea are an example of a sine wave. Tidal Experts and Meterologists alike use sine waves to help predict tides. Music will also emit waves that may often look like a sine wave and pure notes will look like sine or cosine waves. The speed of a swinging pendulum can be plotted as a sine wave as well as the sound of a tuning fork. Electromagnetic radiation (from a mobile phone, GPS, car radio ect) also moves in sine waves.
How is irrational number used in science?
Many physical laws, particularly those dealing with forces or electromagnetic have an inverse square relationship. So, if you want to know how far you need to be before a light seems half as bright, the answer is to the distance of sqrt(2) times. The formula for all harmonic motion - vibrations - including electromagnetic waves such as light and electricity involve pi. The decay rate for radioactive nuclei, population growth for bacteria etc involve Euler's constant, e. Basically, you would not get anywhere in science without irrational numbers.
Why does hydrogen spectrum contains 4 coloured lines why not 3 or 7?
In theory, hydrogen has infinitely many spectral lines. The "Balmer series" has four lines in the visible spectrum; additional lines are in the ultraviolet. Other "series" have other lines - it seems that all of them are either in the ultraviolet or infrared. For more information, read the Wikipedia article on "Hydrogen spectrum". The reason there are four VISIBLE lines is basically chance - an excited hydrogen atom emits light at certain frequencies (which can be calculated, see the article for more details); our eyes see a certain range of electromagnetic waves that happens to include four of those lines.
Is Nikola Tesla smarter than albert Einstein?
In my opinion yes; he invented direct current ,which was stolen by Edison, alternating current, remote control technology, radio waves, incandescent bulbs, wire less power ,which he never had the funding to complete, and many other inventions way out of there time in his lost journal, some rumored to be an earth quake machine. Another of his ideas was haarp a signal station that can bend the jet streams using radio frequencies to over heat the air and change and direct the climate. All Einstien did was relativity and the nuclear bomb while those are truly genius accomplishments compairing Tesla to Einstien would be like comparing Newton to DaVincii
