1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ad-work [718]
3 years ago
6

Two radio antennas are 120 m apart on a north-south line, and they radiate in phase at a frequency of 3.4 MHz. All radio measure

ments are made far from the antennas. If the east-west reference line passes midway between the two antennas, what is the smallest angle from the antennas, measured north of east, at which constructive interference of two radio waves occurs?
Physics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

the smallest angle from the antennas is <em>47.3°</em>

Explanation:

We first need to write the expression for the relation between the wavelength (λ) and the frequency (f) of the wave, and then solve for the wavelength.

Therefore, the relation is:

λ = c /f

where

  • c is the speed of light constant
  • λ is the wavelength
  • f is the frequency

Thus,

λ = (3 × 10⁸ m/s) / (3.4 MHz)

  = (3 × 10⁸ m/s) / (3.4 MHz)(10⁶ Hz/1 MHz)

  = 88.235 m

Therefore, the smallest angle measured (from the north of east) from the antennas for the constructive interference of the two-radio wave can be calculated as

θ = sin⁻¹(λ / d)

where

  • d is the distance between the two radio antennas

Thus,

θ = sin⁻¹(88.235 / 120)

<em>θ = 47.3 °</em>

<em></em>

Therefore, the smallest angle from the antennas, measured north of east, at which constructive interference of two radio waves occurs is <em>47.3 °</em>.

You might be interested in
Use the drop-down menus to complete each sentence about the layers of the atmosphere. If the did not exist, Earth might be destr
ozzi

Answer:

If the mesosphere did not exist, Earth might be destroyed by chunks of rock from space.

The stratosphere is located 12 to 50 kilometers from Earth's surface.

Both the trophosphere and mesosphere get colder as altitude increases.

The ozone in the stratosphere protects people from ultraviolet (UV) radiation.

The thermosphere has the highest temperature of any layer in Earth's atmosphere.

Explanation:

Different layers of the atmosphere are;

  • Troposphere

It is the lowest layer of atmosphere that begins at ground level and extends upward to about 10 km. In this layer, all organisms live, weather occurs and most clouds appear. As altitude increases, the temperature decreases i.e., the layer gets colder.

  • Stratosphere

This layer is located at the top of the troposphere  and extends up to about 50 km from Earth's surface. The ozone layer present in this layer absorbs high-energy ultraviolet (UV) light from the Sun. Here, the temperature rises with altitude. The passenger jets are usually fly in this layer.

  • Mesosphere

Above the stratosphere, the mesosphere extends upward to about 85 km from Earth's surface. The chunks of rock from space such as meteors burn upon entering the mesosphere and protect the Earth. In this layer, the temperature gets colder as altitude increases and so the coldest temperatures (about -90° C) in Earth's atmosphere are found at the top of this layer.  

  • Thermosphere

This layer is located above the mesosphere and the air here is really very thin. The thermosphere absorbs high-energy X-rays and UV radiation from the Sun and as a result, its temperature increases to hundreds or thousands of degrees i.e., 1,500° C or higher. This layer extends up to 500 to 1,000 km from the ground. Many satellites orbit Earth within this layer.

  • Ionosphere

The ionosphere is actually an extension of the thermosphere and so it is not a distinct layer like the others. It is filled with charged particles produced from the ionization of molecules by high temperatures in the thermosphere caused by the high-energy radiation from the Sun. The phenomenon called auroras (Northern Lights and Southern Lights) occurs in this layer. The different regions of the ionosphere reflecting the radio waves back to Earth and make the long-distance radio communication possible.

4 0
3 years ago
Read 2 more answers
Why does eating less meat conserve more water than just eating plants?
Afina-wow [57]

Answer:

Studies show that eating fewer animal-based products could reduce water use since animal production uses more water than crops do. In addition, reducing the amount of food that's lost or wasted at various points in the food supply chain could feed about 1 billion extra people while simultaneously reducing water use.

3 0
2 years ago
Read 2 more answers
This diagram shows how a certain type of precipitation is formed. Water drops are caught in up-drafts and down-drafts, over and
Svet_ta [14]

It would be B. Hail.

5 0
3 years ago
Which substance cannot be seperated physically or chemically?
scoray [572]

Answer:

What is a Pure Substance?

Explanation:

It is something which cannot be divided into parts by physical means, as it's all made up of the same thing. Pure substances are either elements or compounds. Elements can NOT be separated into other types of matter (physically or chemically).

4 0
3 years ago
Read 2 more answers
Choose all the answers that apply. The sun: -is the largest star in our solar system -is the largest star in our galaxy
Hatshy [7]

-is made mostly of hydrogen and helium.

-will eventually run out of fuel and die.

-creates energy through nuclear reactions

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement correctly describes magnetic field lines?
    13·2 answers
  • A displacement vector has a magnitude of 810 m and points at an angle of 18° above the positive x axis. what are the x and y sca
    14·1 answer
  • 15. The Energy possessed by a body by virtue<br>of its position or state is called :​
    11·1 answer
  • 1.
    9·1 answer
  • How does natural selection lead to evolution
    7·2 answers
  • a 45kg box of books is lifted o a bookself 1.75 m above the floor. how much work was done to lift the books?
    9·1 answer
  • Identify the physical property of a material that is NOT a good conductor of heat.
    9·1 answer
  • What happens when close off the end of a garden hose?
    7·1 answer
  • How do the numbers of atoms of each element compare before and after the reaction? Why do you think this is?
    7·2 answers
  • What 3 things use electromagnetic energy in nature?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!