In which of the following situations is the Doppler effect absent?

1 answer:

4 0

The source and the observer are moving towards each other. The observer is moving toward the source. The source is moving away from the observer

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Describe how the basic measurements of length, volume, and mass were determined in the

Anna11 [10]

the basic measurements of length, volume, and mass are 1 meter, 1 meter³ and 1kilogram.

One 10-millionth of the distance from the North Pole to the equator would equal one meter.

A cube with sides of one meter has a volume of one meter³.

The mass of 1,000 cubic centimeters of water is very close to (and was originally intended to be exactly) one kilograms.

but today a more precise way to define is available in which:

1 meter is defined as the distance traveled by light in 1/3×10⁸ sec.

The weight of a specific platinum-iridium prototype held by the International Bureau of Weights and Measures is defined as 1 kg.

moreover these measurements are man made and are not absolute and therefore many new units of measurement can be defined as long as they are fundamentally same everywhere.

learn more about metric system here:

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1 year ago

g (12 points) The time between incoming phone calls at a call center is a random variable with exponential density p(x) = 1 r e

rusak2 [61]

Answer:

$(1)p(x)\geq 0\\(2)\int_{0}^{\infty} p(x) dx=0$

Explanation:

A function f(x) is a Probability Density Function if it satisfies the following conditions:

$(1)f(x)\geq 0\\(2)\int_{0}^{\infty} f(x) dx=0$

Given the function:

$p(x)=\dfrac{1}{r}e^{-x/r} \: on\: [0,\infty), where\:r=\dfrac{20}{ln(2)}$

(1)p(x) is greater than zero since the range of exponents of the Euler's number will lie in $[0,\infty).$

(2)

$\int_{0}^{\infty} p(x)=\int_{0}^{\infty} \dfrac{1}{r}e^{-x/r}\\=\dfrac{1}{r} \int_{0}^{\infty} e^{-x/r}\\=-\dfrac{r}{r}\left[e^{-x/r}\right]_{0}^{\infty}\\=-\left[e^{-\infty/r}-e^{-0/r}\right]\\=-e^{-\infty}+e^{-0}\\SInce \: e^{-\infty} \rightarrow 0\\e^{-0}=1\\\int_{0}^{\infty} p(x)=1$