Answer:
the period of the 16 m pendulum is twice the period of the 4 m pendulum
Explanation:
Recall that the period (T) of a pendulum of length (L) is defined as:
![T=2\,\pi\,\sqrt{ \frac{L}{g} }](https://tex.z-dn.net/?f=T%3D2%5C%2C%5Cpi%5C%2C%5Csqrt%7B%20%5Cfrac%7BL%7D%7Bg%7D%20%7D)
where "g" is the local acceleration of gravity.
SInce both pendulums are at the same place, "g" is the same for both, and when we compare the two periods, we get:
![T_1=2\,\pi\,\sqrt{\frac{4}{g} } \\T_2=2\,\pi\,\sqrt{\frac{16}{g} } \\ \\\frac{T_2}{T_1} =\sqrt{\frac{16}{4} } =2](https://tex.z-dn.net/?f=T_1%3D2%5C%2C%5Cpi%5C%2C%5Csqrt%7B%5Cfrac%7B4%7D%7Bg%7D%20%7D%20%5C%5CT_2%3D2%5C%2C%5Cpi%5C%2C%5Csqrt%7B%5Cfrac%7B16%7D%7Bg%7D%20%7D%20%5C%5C%20%5C%5C%5Cfrac%7BT_2%7D%7BT_1%7D%20%3D%5Csqrt%7B%5Cfrac%7B16%7D%7B4%7D%20%7D%20%3D2)
therefore the period of the 16 m pendulum is twice the period of the 4 m pendulum.
In solids, particles or atom are very closely arranged compared to gasses. When these particles are arranged in such proximity, vibrations from sound are very easily transmitted from one particle to another in the solid. Hence, the sound vibrations can travel through the solid medium more quickly than through a gas medium.
Speed of sound also depends on its frequency and the wavelength.
There's no such thing as a wave of white light. Every light wave with
a certain wavelength has some color. White light is a mixture of all
the different wavelengths with all of the different visible colors.
They're ALL there in white light. When they all enter your eye at
the same time, your brain gets the message of brightness with
no particular color, which we call "white light".
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