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3 years ago

Unpolarized light is passed through an optical filter that is oriented in the vertical direction.

1 answer:

5 0

In order to solve this problem it is necessary to apply the concepts related to intensity and specifically described in Malus's law.

Malus's law warns that

$I = I_0 cos^2\theta$

Where,

$\theta=$ Angle between the analyzer axis and the polarization axis

$I_0 =$ Intensity of the light before passing through the polarizer

The intensity of the beam from the first polarizer is equal to the half of the initial intensity

$I = \frac{I_0}{2}$

Replacing with our the numerical values we get

$I = \frac{46}{2}$

$I = 23W/m^2$

Therefore the intensity of the light that emerges from the filter is $23W/m^2$

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A helicopter starting on the ground is rising directly into the air at a rate of 25 ft/s. You are running on the ground starting

rusak2 [61]

Answer:

The rate of change of the distance between the helicopter and yourself (in ft/s) after 5 s is $\sqrt{725}$ ft/ sec

Explanation:

Given:

h(t) = 25 ft/sec

x(t) = 10 ft/ sec

h(5) = 25 ft/sec . 5 = 125 ft

x(5) = 10 ft/sec . 5 = 50 ft

Now we can calculate the distance between the person and the helicopter by using the Pythagorean theorem

$D(t) = \sqrt{h^2 + x^2}$

Lets find the derivative of distance with respect to time

$\frac{dD}{dt} (t) = \frac{2h \cdot \frac{dh}{dt} +2x \cdot\frac{dx}{dt}} {2\sqrt{h^2 + x^2}}$

Substituting the values of h(t) and x(t) and simplifying we get,

$\frac{dD}{dt}(t) = \frac{50t \cdot \frac{dh}{dt} + 20 \cdot \frac{dx}dt}{2\sqrt{625\cdot t^2 + 100 \cdot t^2}}$

$\frac{dh}{dt} = 25ft/sec$

$\frac{dx}{dt} = 10 ft/sec$

$\frac{Dd}{dt} (t) = \frac{1250t +200t}{2\sqrt{725}t}$ = $\frac{725}{\sqrt{725}}$ = $\sqrt{725}$ ft / sec

5 0

3 years ago

SOMEONE PLEASE HELP PLEASE PLEASE

Black_prince [1.1K]

Ais the correct answer

4 0

2 years ago

What are gamma rays and what are its uses??

sukhopar [10]

"Gamma rays" is the name that we call the shortest of all electromagnetic waves. They're shorter than radio waves, microwaves, infrared waves, heat waves, visible light waves, ultraviolet waves, and X-rays. They extend all the way down to waves that are as short as the distance across an atom.

Being so short, they carry lots of energy. They can penetrate many materials, and they can damage living cells and DNA. They're dangerous.

The sun puts out a lot of gamma radiation. The atmosphere (air) filters out a lot of it, otherwise there couldn't even be any life on Earth.

As soon as astronauts fly out of the atmosphere, they need a lot of shielding from gamma rays.

You know the precautions we take when we're around X-rays. The same precautions apply around gamma rays, only a lot more so.

It's only in the past several years that we've learned how to MAKE gamma rays without blowing things up. Also, how to control them, and how to use them for medical and industrial applications.

3 0

2 years ago

The mass of proton is 1.67x10 kg. How many protons will make a mass of 1,00kg? 1011

MaRussiya [10]

Answer: 938

Explanation:

1.67x10^-27kg (938V/c2)

6 0

3 years ago

Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.2cm and a standard deviation o

Svet_ta [14]

Answer:

97.5%

Explanation:

By the empirical rule (68-95-99.7),

68% of data are within μ - σ and μ + σ
95% of data are within μ - 2σ and μ + 2σ
99.7% of data are within μ - 3σ and μ + 2σ

σ and μ are the standard deviation and the mean respectively.

From the question,

μ = 7.2 cm

σ = 0.38 cm

7.96 = 7.2 + (n × 0.38)

n = 2

Hence, 7.96 represents μ + 2σ.

P(X < μ + 2σ) = P(X < μ) + P(μ < X < μ + 2σ)

P(X < μ) is the percentage less than the mean = 50%.

P(μ < X < μ + 2σ) is half of P(μ - 2σ < X < μ + 2σ) = 95% ÷ 2 = 47.5%.

Considering this, for apples that are no more than 7.96 cm,

P(X < 7.96) = P(X < 7.2) + P(7.2 < X < 7.96) = 50% + 47.5% = 97.5%

5 0

3 years ago