Question 1

The maximum value of the electric field in an electromagnetic wave is 1.5 V/m. What is the maximum value of the magnetic field associated with this wave?
A) 3.0 nT
B) 4.0 nT
C) 5.0 nT
D) 6.0 nT
E) 7.0 nT

Accepted Answer

The maximum value of the magnetic field associated with the electromagnetic wave can be determined using the relationship:
B = E/c
where B is the magnetic field, E is the electric field, and c is the speed of light.

Substituting the given values:
B = 1.5 V/m ÷ 3.0 x 10^8 m/s
B = 5.0 x 10^-9 Tesla or 5.0 nT

Therefore, the maximum value of the magnetic field associated with the wave is 5.0 nT. Option C is the correct choice.

Question 2

FIGURE 25-3 -Figure 25-3 shows three polarizing disks having parallel planes with the direction of the transmission axis in each case. The disks are centered on a common axis. If a plane polarized beam of light is incident from left on the first disk with an intensity of 40 W/m². What is the transmitted intensity coming out of the third disk, when θ₁ = 10°, θ₂ = 40°, θ₃ = 70°? A) 40 W/m² B) 18 W/m² C) 1.5 W/m² D) 0 W/m² E) 22 W/m²

Accepted Answer

The answer of FIGURE 25-3 
-Figure 25-3 shows three polarizing...

Question 3

If the magnetic field in a traveling electromagnetic wave has a maximum value of 16.5 nT, what is the maximum value of the electric field associated with it? A) 5.5 × 10^-17 V/m B) 49.5 × 10^-1 V/m C) 4.95 × 10^-1 V/m D) 55.0 × 10^-16 V/m E) 55.0 × 10^-15 V/m

Accepted Answer

The answer of If the magnetic field in a traveling...

Question 4

A polarizer is oriented at an angle θ to the vertical. If the vertically polarized beam of light of intensity 200 W/m² passes through the polarizer, what is the transmitted intensity of light for an angle of 20.0°? A) 35.0 W/m² B) 44.4 W/m² C) 177 W/m² D) 23.0 W/m² E) 200 W/m²

Accepted Answer

The answer of A polarizer is oriented at an angle...

Question 5

A polarizer is oriented at an angle θ to the vertical. If the vertically polarized beam of light of intensity 200 W/ m² passes through the polarizer, find the transmitted intensity of light for an angle of 90.0°. A) 0 W/m² B) 50.0 W/m² C) 400 W/m² D) 100 W/m² E) 200 W/m²

Accepted Answer

When the angle θ is 90°, the polarizer is perpendicular to the direction of polarization of the light, resulting in no light being transmitted.

Question 6

A vertically polarized beam of light of intensity 100 W/m² passes through two polarizers. The first polarizer is making an angle of 20° with its transmission axis and the second one is making an angle of 40° with its transmission axis. What is the transmitted intensity of this beam of light? A) 22.2 W/m² B) 44.4 W/m² C) 66.6 W/m² D) 78.0 W/m² E) 11.7 W/m²

Accepted Answer

The answer of A vertically polarized beam of light of...

Question 7

If the radiation from the Sun reaching above atmosphere of Earth is at the rate of 1350 W/m², what is the maximum value of the electric field associated with this wave? A) 675.0 V/m B) 1604 V/m C) 1400 V/m D) 1350 V/m E) 1010 V/m

Accepted Answer

The intensity of the wave is given by I = (1/2) * ε₀ * c * E², where ε₀ is the permittivity of free space and c is the speed of light. Solving for E gives E = √(2I/ε₀c). Substituting the given intensity (1350 W/m²) and known constants results in approximately 1010 V/m.

Question 8

The maximum value of the magnetic field in an electromagnetic wave is 4.7 μT. What is the maximum value of the electric field? A) 1.4 × 10³ V/m B) 1.4 × 10³ N/C C) 1.4 × 10³ J/Cm D) All of the answers given are correct. E) None of the answers given is correct.

Accepted Answer

The maximum value of the electric field is related to the maximum value of the magnetic field by the equation E = cB, where c is the speed of light. In this case, the maximum value of the magnetic field is 4.7 μT, so the maximum value of the electric field is E = cB = (3 × 10^8 m/s)(4.7 × 10^-6 T) = 1.4 × 10^3 V/m.

Question 9

A vertically polarized beam of light of intensity 100 W/m² passes through a polarizer with its transmission axis at 40.0° to the vertical. What is the transmitted intensity of this beam of light? A) 100 W/m² B) 0 W/m² C) 25.0 W/m² D) 44.4 W/m² E) 58.7 W/m²

Accepted Answer

The transmitted intensity is given by Malus's Law: I = I₀ cos²θ. Here, I₀ = 100 W/m² and θ = 40°. So, I = 100 * cos²(40°) = 58.7 W/m².

Question 10

The wavelength of a certain portion of an electromagnetic wave is 314 nm. What is its frequency and classification? A) 9.55 × 10¹⁴ Hz, ultraviolet B) 9.55 × 10¹⁴ Hz, X-ray C) 8.44 × 10¹⁵ Hz, X-ray D) 9.55 × 10¹⁵ Hz, ultraviolet

Accepted Answer

The frequency (f) can be calculated using the formula f = c/λ, where c is the speed of light (3 × 10^8 m/s) and λ is the wavelength (314 nm = 314 × 10^-9 m). This gives a frequency of approximately 9.55 × 10^14 Hz, which falls in the ultraviolet range.

Quiz 25: Electromagnetic Waves

The maximum value of the electric field in an electromagnetic wave is 1.5 V/m. What is the maximum value of the magnetic field associated with this wave?

If the magnetic field in a traveling electromagnetic wave has a maximum value of 16.5 nT, what is the maximum value of the electric field associated with it?

A polarizer is oriented at an angle θ to the vertical. If the vertically polarized beam of light of intensity 200 W/m2 passes through the polarizer, what is the transmitted intensity of light for an angle of 20.0°?

A polarizer is oriented at an angle θ to the vertical. If the vertically polarized beam of light of intensity 200 W/ m2 passes through the polarizer, find the transmitted intensity of light for an angle of 90.0°.

A vertically polarized beam of light of intensity 100 W/m2 passes through two polarizers. The first polarizer is making an angle of 20° with its transmission axis and the second one is making an angle of 40° with its transmission axis. What is the transmitted intensity of this beam of light?

If the radiation from the Sun reaching above atmosphere of Earth is at the rate of 1350 W/m2, what is the maximum value of the electric field associated with this wave?

The maximum value of the magnetic field in an electromagnetic wave is 4.7 μT. What is the maximum value of the electric field?

A vertically polarized beam of light of intensity 100 W/m2 passes through a polarizer with its transmission axis at 40.0° to the vertical. What is the transmitted intensity of this beam of light?

The wavelength of a certain portion of an electromagnetic wave is 314 nm. What is its frequency and classification?

A polarizer is oriented at an angle θ to the vertical. If the vertically polarized beam of light of intensity 200 W/m² passes through the polarizer, what is the transmitted intensity of light for an angle of 20.0°?

A polarizer is oriented at an angle θ to the vertical. If the vertically polarized beam of light of intensity 200 W/ m² passes through the polarizer, find the transmitted intensity of light for an angle of 90.0°.

A vertically polarized beam of light of intensity 100 W/m² passes through two polarizers. The first polarizer is making an angle of 20° with its transmission axis and the second one is making an angle of 40° with its transmission axis. What is the transmitted intensity of this beam of light?

If the radiation from the Sun reaching above atmosphere of Earth is at the rate of 1350 W/m², what is the maximum value of the electric field associated with this wave?

A vertically polarized beam of light of intensity 100 W/m² passes through a polarizer with its transmission axis at 40.0° to the vertical. What is the transmitted intensity of this beam of light?