The correct answer is A. The moon rotates on its axis at the same rate at which it orbits Earth so that the side of the moon that faces Earth remains the same as it orbits.
Explanation
The moon is the most popular and well-known natural satellite on planet earth, it is a satellite widely studied by humans, they have even walked on the moon. However, from Earth, at night when you see the moon you always see the same face of the moon, which has caused people to wonder why this phenomenon. The answer to this phenomenon is that we always see the same face of the moon because it takes the same time to rotate once on itself as it does to go around the Earth (about 27 days). The result is that the same part of the moon always points towards the earth. According to the above, the correct answer is A. The moon rotates on its axis at the same rate at which it orbits Earth so that the side of the moon that faces Earth remains the same as it orbits.
Alberta is going to have dinner at her grandmother's house, but she is running a bit behind schedule. As she gets onto the highway, she knows that she must exit the highway within 55
min
min
if she is not going to arrive late. Her exit is 43
mi
miHow much time would it take at the posted 60 mph speed?
away.
Complete Question
Alberta is going to have dinner at her grandmother's house, but she is running a bit behind schedule. As she gets onto the highway, she knows that she must exit the highway within 55 min if she is not going to arrive late. Her exit is 43 mi away. How much time would it take at the posted 60 mph speed?
Answer:
The time it would take at the given speed is [tex]x = 43.00 \ minutes[/tex]
Explanation:
From the question we are told that
The time taken to exist the highway is [tex]t = 55 min[/tex]
The distance to the exist is [tex]d = 43\ mi[/tex]
Alberta speed is [tex]v = 60 mph[/tex]
The time it would take travelling at the given speed is mathematically represented as
[tex]t_z = \frac{d}{v}[/tex]
substituting values
[tex]t_z = \frac{43}{60}[/tex]
[tex]t_z = 0.71667\ hrs[/tex]
Converting to minutes
1 hour = 60 minutes
So 0.71667 hours = x minutes
Therefore
[tex]x = 0.71667 * 60[/tex]
[tex]x = 43.00 \ minutes[/tex]
At a speed of 60 mph, it would take Alberta approximately 43 minutes to travel the 43 miles to her grandmother's house, which is within the 55 minutes time frame she has to avoid being late.
Explanation:To determine how long it will take Alberta to reach her grandmother's house if she travels at a constant speed of 60 mph, we need to use the formula for time which is time = distance ÷ speed. Alberta's exit is 43 miles away and the speed limit is 60 mph.
First, we calculate the time it would take her to travel 43 miles at 60 mph:
Time = Distance ÷ Speed
= 43 miles ÷ 60 mph
= 0.7167 hours
Since time in hours is not always intuitive, let's convert it to minutes by multiplying by 60 (since there are 60 minutes in one hour):
Time in minutes = 0.7167 hours × 60 minutes/hour
= 43 minutes
Thus, it will take Alberta approximately 43 minutes to reach her exit at the posted speed of 60 mph.
Monochromatic light of variable wavelength is incident normally on a thin sheet of plastic film in air. The reflected light is a maximum only for 477.1 nm and 668.0 nm in the visible spectrum.What is the minimum thickness of the film (n=1.58)?
Answer:
thickness t = 528.433 nm
Explanation:
given data
wavelength λ1 = 477.1 nm
wavelength λ2 = 668.0 nm
n = 1.58
solution
we know for constructive interference condition will be
2 × t × μ = (m1+0.5) × λ1 ....................1
2 × t × μ = (m2+0.5) × λ2 ....................2
so we can say from equation 1 and 2
(m1+0.5) × λ1 = (m2+0.5) × λ2
so
[tex]\frac{\lambda 2}{\lambda 1} = \frac{m1+0.5}{m2+0.5}[/tex] ..............3
put here value and we get
[tex]\frac{668.0}{477.1} = \frac{m1+0.5}{m2+0.5}[/tex]
[tex]\frac{m1+0.5}{m2+0.5}[/tex] = 1.4
[tex]\frac{m1+0.5}{m2+0.5} = \frac{7}{5}[/tex] ...................4
so we here from equation 4
m1+0.5 = 7
m1 = 3 .................5
m2+0.5 = 4
m2 = 2 .................6
so now put value in equation 1
2 × t × μ = (m1+0.5) × λ1
2 × t × 1.58 = (3+0.5) × 477.1
solve it we get
thickness t = 528.433 nm
Using the formula for thin film interference, the minimum thickness of the plastic film that would create a condition of maximum reflection in the visible spectrum is approximately 151 nm.
Explanation:The question is asking for the minimum thickness of the film for which maximum light is reflected for the provided wavelengths. This is a classic example of thin film interference.
For constructive interference (maximum reflection), the thickness of the film (t) is given by the formula: t = mλ/2n. Here 'm' is the order of the bright fringe, 'λ' is wavelength, and 'n' is the index of refraction.
Considering the first-order maximum, we find the thickness for each wavelength:
t1 = (1)(477.1 x 10^-9 m)/2(1.58) = 1.51 x 10^-7 m (or 151 nm for 477.1 nm light)
t2 = (1)(668.0 x 10^-9 m)/2(1.58) = 2.12 x 10^-7 m (or 212 nm for 668.0 nm light)
Therefore, the minimum thickness of the film that would create a condition of maximum reflection in the visible spectrum is approximately 151 nm.
Learn more about Thin Film Interference here:https://brainly.com/question/33710977
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How are the electric field lines around a positive charge affected when a second positive charge is rear it?
Answer:they repel
Explanation:
Like charges repels, unlike charges attracts