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
pogonyaev
3 years ago
11

The electric field of a sinusoidal electromagnetic wave obeys the equation E = (375V /m) cos[(1.99× 107rad/m)x + (5.97 × 1015rad

/s)t].
(a) What is the speed of the wave?
(b) What are the amplitudes of the electric and magnetic fields of this wave?
(c) What are the frequency, wavelength, and period of the wave? Is this light visible to humans?
Physics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

a)  v = 2,9992 10⁸ m / s , b)  Eo = 375 V / m ,  B = 1.25 10⁻⁶ T,

c)     λ = 3,157 10⁻⁷ m,   f = 9.50 10¹⁴ Hz ,  T = 1.05 10⁻¹⁵ s , UV

Explanation:

In this problem they give us the equation of the traveling wave

        E = 375 cos [1.99 10⁷ x + 5.97 10¹⁵ t]

a) what the wave velocity

all waves must meet

        v = λ f

In this case, because of an electromagnetic wave, the speed must be the speed of light.

        k = 2π / λ

        λ = 2π / k

        λ = 2π / 1.99 10⁷

        λ = 3,157 10⁻⁷ m

        w = 2π f

        f = w / 2 π

        f = 5.97 10¹⁵ / 2π

        f = 9.50 10¹⁴ Hz

the wave speed is

        v = 3,157 10⁻⁷   9.50 10¹⁴

        v = 2,9992 10⁸ m / s

b) The electric field is

           Eo = 375 V / m

to find the magnetic field we use

           E / B = c

           B = E / c

            B = 375 / 2,9992 10⁸

            B = 1.25 10⁻⁶ T

c) The period is

           T = 1 / f

            T = 1 / 9.50 10¹⁴

            T = 1.05 10⁻¹⁵ s

the wavelength value is

          λ = 3,157 10-7 m (109 nm / 1m) = 315.7 nm

this wavelength corresponds to the ultraviolet

You might be interested in
Which is not a factor that affects the pressure of a gas in a closed container?
maksim [4K]

it is size of of particles because it does not matter about the size in a closed container

7 0
3 years ago
Compare and contrast how sound waves behave when they
Ghella [55]

Answer:

As sound waves move (or more accurately, when they travel by transferring their energy) they interact with physical objects. Soft surfaces will absorb sound while hard surfaces will reflect it. .Hard surfaces reflect sound and soft surfaces absorb sound.

The convex mirror has a reflecting surface that curves outward, resembling a portion of the exterior of a sphere. Light rays parallel to the optical axis are reflected from the surface in a direction that diverges from the focal point, which is behind the mirror

6 0
2 years ago
If a ball is thrown into the air with a velocity of 36 ft/s, its height (in feet) after t seconds is given by y = 36t − 16t2. fi
Juliette [100K]
Height (y) = 36t - 16t^2, where t = time in seconds (s).
Our height (y) after 1s = 36(1) - 16(1)^2
y = 36 - 16 = 20 ft
So it reached a height of 20 ft during that 1 second, which means that at that 1 second it had a velocity of 20ft/s, since v = d(distance)/t = 20ft/1s
6 0
3 years ago
What are the opposite ends of a magnet called? A. north and south terminals B. north and south poles C. magnetic fields D. magne
Bezzdna [24]

I think the answer is B.

Hope this helps.

6 0
3 years ago
Read 2 more answers
If an object weighs 80 Newtons, what force must be applied to the rope to raise the object when the mechanical advantage is four
AnnyKZ [126]
80 -4f(45.56 - 56) solve and get answer
5 0
3 years ago
Other questions:
  • The two long straight wires are separated by a distance of d = 0.40 m. The currents are to the right in the upper wire and to th
    6·1 answer
  • A solid cylinder with a mass of 2.72 kg and a radius of 0.083 m starts from rest at a height of 4.20 m and rolls down a 88.7 ◦ s
    11·1 answer
  • A simple pendulum, consisting of a mass on a string of length L, is undergoing small oscillations with amplitude A.
    9·1 answer
  • A pendulum is swinging back and forth with a period of 2.0 seconds here on Earth. This pendulum is then brought to the Moon, whe
    8·1 answer
  • @kikatkraken This is the energy of an object while it is in motion.
    9·1 answer
  • Which change will cause the gravitational force between a baseball and a soccer ball to increase? Select three options.
    11·1 answer
  • Which point on the wave diagram below are 90° out of phase with each other?
    12·2 answers
  • 100 g of water are cooled and the enthalpy change is -12,540 J. What is the change in temperature of the water?
    8·1 answer
  • The negatively charged particle in an atom is a(n):
    12·1 answer
  • A force of 100.0N accelerates a 5.0 kg box at 15.0 m/s^2 along a level surface. Find the coefficient of sliding friction for the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!