The functions of angles are used to find unknown lengths or angles that can't be measured, in terms of known quantities. The trig functions of angles are ratios of lengths, so they're bare naked numbers without units.
One path because in a series circuit it is only one path while in a parallel circuit you have 2 or more. Our houses use parallel so that is why you can turn off one light and the rest would stay on.
363 m/s is the speed of sound through the air in the pipe.
Answer: Option B
<u>Explanation:</u>
The formula used to calculate the wavelength given as below,
![Wavelength (\lambda)=\frac{\text { wave velocity }(v)}{\text { frequency }(f)}](https://tex.z-dn.net/?f=Wavelength%20%28%5Clambda%29%3D%5Cfrac%7B%5Ctext%20%7B%20wave%20velocity%20%7D%28v%29%7D%7B%5Ctext%20%7B%20frequency%20%7D%28f%29%7D)
--------> eq. 1
In power system, harmonics define by positive integers of the fundamental frequency. So the third order harmonic is a multiple of the third fundamental frequency. Each harmonic creates an additional node and an opposite node, as well as an additional half wave within the string.
If the number of waves in the circuit is known, the comparison between standing wavelength and circuit length can be calculated algebraically. The general expression for this given as,
![L=\frac{n \lambda}{2}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7Bn%20%5Clambda%7D%7B2%7D)
For first harmonic, n =1
![L=\frac{\lambda}{2}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B%5Clambda%7D%7B2%7D)
For second harmonic, n =2
![L=\frac{2 \lambda}{2}=\lambda](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B2%20%5Clambda%7D%7B2%7D%3D%5Clambda)
For third harmonic, n =3
![L=\frac{3 \lambda}{2}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B3%20%5Clambda%7D%7B2%7D)
-------> eq. 2
Here given f = 939 Hz, L = 0.58 m...And, substitute eq 2 in eq 1 and values, we get
![v=\frac{2 \times 0.58 \times 989}{3}=\frac{1089.24}{3}=363.08 \mathrm{m} / \mathrm{s}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2%20%5Ctimes%200.58%20%5Ctimes%20989%7D%7B3%7D%3D%5Cfrac%7B1089.24%7D%7B3%7D%3D363.08%20%5Cmathrm%7Bm%7D%20%2F%20%5Cmathrm%7Bs%7D)
The only way of telling about dark energy is our observation of how the universe has been expanding. It basically works the opposite as gravity, pushing things away from it. Thus, the closest answer would be D. The shape of galaxies in cluster galaxies.