Answer:
[tex]1.64\cdot 10^{-24}J[/tex]
Explanation:
The energy of a photon is given by:
[tex]E=\frac{hc}{\lambda}[/tex]
where
[tex]h=6.63\cdot 10^{-34} Js[/tex] is the Planck constant
[tex]c=3\cdot 10^8 m/s[/tex] is the speed of light
[tex]\lambda[/tex] is the wavelenght of the photon
For the microwave photons in this problem,
[tex]\lambda=12.1 cm=0.121 m[/tex]
so their energy is
[tex]E=\frac{(6.63\cdot 10^{-34}Js)(3\cdot 10^8 m/s)}{0.121 m}=1.64\cdot 10^{-24}J[/tex]
The energy of a microwave photon can be calculated using the Planck-Einstein relation, with the microwave's frequency derived from its given wavelength. Microwaves are electromagnetic radiation with wavelengths longer than infrared but shorter than radio waves, used in applications such as microwave ovens.
Explanation:To determine the energy of a microwave photon, we need to use the Planck-Einstein relation, which states that the energy of a photon is directly proportional to its frequency and inversely proportional to its wavelength. This relation is given by the equation E=hv where E is the energy, h is Planck's constant and v is frequency.
The frequency v can be determined from the given microwave wavelength 12.1cm using the equation v=c/λ, where c is the speed of light and λ is the wavelength. Since the speed of light and Planck's constant are known quantities, by substituting these values into the Planck-Einstein relation, we can find the energy of a single photon.
It's crucial to note that microwaves, a form of electromagnetic radiation, have longer wavelengths compared to infrared but shorter than radio waves. The energy level they possess makes them suitable for applications such as microwave ovens, where they cause water molecules to rotate faster, resulting in food heating up.
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A neutral atom of tin (Z = 50) has 69 neutrons. (a) How many protons does it have? (b) What is its mass number?
Answer:
Protons = 50
Mass number = 119
Explanation:
A neutral of tin, Sn, has a Z value of 50 and neutrons are 69.
Z is the atomic number. The atomic number is equal to number of protons or number of electrons in an atom that is neutral i.e:
Z = PROTONS = ELECTRONS
So the number of protons = 50 since Z is 50
>>>>>>>>>>>>>>>¦
The bulk of the mass of an atom is concentrated in the nucleus. To calculate mass number, we simply sum all the elementary particles in the nucleus i.e protons and neutrons. These particles are called the nucleons.
Mass number (A) = P + N
= 50 + 69
= 119
Answer: 119
Explanation:
In an area off the Antarctic coast, elephant seals consume 200,000 calories of squid and small fish every month. How much energy must these squid and small fish consume to sustain the elephant seal population?
The transfer of energy through the food chain is around 10%. So basically we have a situation where the producers have 100% of energy, the organism that consumes them gets 10% of it, the organism that consumes that organism gets 10% of the 10% that organism got and so on to the top of the food chain.
Since the elephant seals consume 200,000 calories from the squid and small fish, this means that the squid and the small fish get 2,000,000 calories from their food, thus they are able to sustain the population of elephant seals.
We got to this result just by multiplying the number of calories the elephant seals get with the number 10, as they only get 10% of the calories of the squid and fish.
20000 calories of energy must these squid and small fish consume to sustain the elephant seal population.
What is a calorie?A calorie is an energy unit. Scientists have traditionally defined a calorie as a unit of energy or heat derived from a range of sources,
Fats, proteins, carbs, and sugars are vital sources of calories that individuals require to live and operate.
Around 10% of energy is transferred through the food chain. So we have a scenario where the producers have 100% energy, the organisms that eat them receive 10%,
The organisms that devour that organism get 10% of the 10% that organism got, and so on all the way to the top of the food chain.
Because elephant seals consume 200,000 calories from squid and tiny fish, the squid and small fish receive 2,000,000 calories from their meal, allowing them to support the elephant seal population.
The amount of energy fish consume to sustain the elephant seal population is found as;
[tex]\rm E = 200000 \times \frac{10}{100} \\\\ \rm E =20000 \ calories[/tex]
Hence 20000 calories of energy must these squid and small fish consume to sustain the elephant seal population.
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A single slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if (a) the wavelength is doubled, (b)the slit width is doubled, or (c) the distance from the slit to the screen is doubled?
Final answer:
The width of the central bright spot in a single-slit diffraction pattern doubles if the wavelength or distance to the screen is doubled and halves if the slit width is doubled.
Explanation:
The width of the central bright spot in a single-slit diffraction pattern will change based on a few factors:
If the wavelength of the light is doubled, the width of the central bright spot will also double, since the width of the central maximum is directly proportional to the wavelength.
If the slit width is doubled, the width of the central bright spot will be halved, as the width of the central maximum is inversely proportional to the slit width.
If the distance from the slit to the screen is doubled, the width of the central bright spot will also double, due to similar triangles, where the pattern's size changes linearly with the distance to the screen.
describe the magnetic field in a bar magnet. Enter your answer in the spave provided.
Answer:
The lines of the magnetic field from a bar magnet form closed lines. By convention, the field direction is taken to be outward from the North pole and into the South pole of the magnet. Permanent magnets can be made from ferromagnetic materials.
As can be visualized with the magnetic field lines, the magnetic field is strongest inside the magnetic material. The strongest external magnetic fields are near the poles. A magnetic north pole will attract the south pole of another magnet, and repel a north pole.
A bar magnet's magnetic field is shown with lines that form loops from the North pole to the South, through the magnet, and back to the North. The direction of the magnetic field is tangent to the field line and can be determined by a compass.
Explanation:The magnetic field in a bar magnet can be visualized using magnetic field lines. These lines emerge from the North pole (N), loop around to the South pole (S), and continue through the bar magnet back to the North pole, forming complete loops. This loop pattern shows that magnetic field lines never stop.
The direction of the magnetic field is tangent to the field line at any point in space. A small compass will point in the direction of the field line, which also indicates that the field lines point in the direction that the North pole of a compass would point.
The magnitude of the magnetic field is represented by the density of the field lines: the stronger the magnetic field, the denser the field lines. The magnetic field is strongest at the center and weakest just outside the bar magnet, between the two poles. Consequently, the field lines are densest at the center and least dense between the poles.
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Compare the water pressure directly below the hull of the yacht (point
a.to the pressure at the same depth, but to the side of the ship (point b).
Answer:water is more dense
Explanation:
Answer:
[tex]P_a = P_b[/tex]
Explanation:
As per Pascal's law we know that when liquid is at rest then the pressure due to liquid at all points lying at the same level will be same
So here as per given figure we know that two points are lying at the same level under the water level
As per pascal's law the pressure at point points will be same
So correct answer will be
[tex]P_a = P_b[/tex]
the rate of chemical weathering increases with this
A) wedging
B) Mountain Park
C) horizons
D) Surface area
D Surface Area
Chemical Weathering
Chemical weathering, is an actual change in composition as minerals are modified from one type to another. Many, if not most of the changes are accompanied by a volumetric increase or decrease, which in itself further promotes additional chemical weathering. The rate depends on temperature, surface area, and available water.
The rate of chemical weathering increases with an increase in surface area.
Explanation:
The correct answer is D) Surface area. The rate of chemical weathering increases with an increase in surface area. This is because increased surface area provides more exposure to the elements and allows for more chemical reactions to occur.
For example, if a rock is broken into smaller pieces, the total surface area of the rock increases. As a result, more of the rock is exposed to air and water, which can lead to increased chemical weathering.
In contrast, options A) wedging, B) Mountain Park, and C) horizons are not directly related to the rate of chemical weathering.
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You push a box across the floor with a force of 30 N. You push it 15 meters in 8 seconds. How much work did you do? How much power did you use?
PLZZZZZZ ANSWER BOTH PARTS
Work = (force) x (distance)
Work = (30 N) x (15 m)
Work = 450 Joules
Power = (work done) / (time to do the work)
Power = (450 Joules) / 8 seconds)
Power = 56.25 watts
As you move toward a warning siren, the pitch _____.
increases
decreases
stays the same
disappears
Answer:
As you move toward the siren the pitch should get louder
Explanation:
Answer: Increases.
Explanation:
Warning siren is generally used to make people alert of danger. Danger can be anything associated with the health and hazard.
Warning siren can be due to tsunami, earthquake, fire, flood, et cetera. The pitch of siren is low when a person is afar from the siren.
As the person moves close to the siren, the pitch of siren increases.
What do we mean by gravitational time dilation?
A) It is the idea that time runs slower in places where gravity is stronger. B) It is the idea that clocks run slow for people moving at high speed past you. C) It is the idea that everyone measures time differently, depending on his/her reference frame. D) It is the idea that clocks run faster in stronger gravitational fields.
Gravitational time dilation refers to the concept that time slows down in locations of stronger gravity – a principle in the theory of general relativity. An experimental demonstration involved atomic clocks on airliners.
Explanation:Gravitational time dilation, a concept in Physics, particularly in the theory of relativity, best corresponds to option A: the idea that time runs slower in places where gravity is stronger. This phenomenon occurs due to the effect of gravity on the passage of time. For example, a clock positioned at a lower altitude (closer to a gravitational source) tends to tick slower than one at a higher altitude (further from the source). This was experimentally demonstrated using atomic clocks on two commercial airliners, confirming Albert Einstein's theory of general relativity.
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on sunday a strong gale blows near beth’s house. the best estimate for the wind speed is ____ miles/hour.
a. 32-38
b. 39-46
c. 47-54
d. 55-63
Answer:
B. 47-54 miles/hour
Explanation:
Gale is a strong wind which is depicted by red warning flag. According to U.S. National Weather Service gale is a sustained surface wind. It is also used to refer winds from tropical coastal areas.
On the basis of force of wind gale is divided in four groups:
Near gale - 32-38 mphGale - 39-46 mphStrong gale - 47-54 mphStorm - 55-63 mphAnswer: 47-54
Explanation:
What is the relationship between frequency and the Doppler effect ?
Answer:The Doppler effect can be described as the effect produced by a moving source of waves in which there is an apparent upward shift in frequency for observers towards whom the source is approaching and an apparent downward shift in frequency for observers from whom the source is receding.
Explanation:
Final answer:
The Doppler effect causes a change in the observed frequency of a wave based on the relative motion between the source and the observer, resulting in a Doppler shift. This principle applies to all waves, including sound and light, and has practical applications in areas such as astronomy and medical diagnostics.
Explanation:
The Doppler effect is a phenomenon where the observed frequency of a wave, such as sound or light, changes based on the relative motion between the source of the wave and the observer. If the source and the observer are moving closer together, the observed frequency increases; if they are moving apart, the frequency decreases. This shift in frequency is known as a Doppler shift. An example of the Doppler effect is when you hear the pitch of a train whistle changing from high to low as the train passes by.
The Doppler effect applies not only to sound but to all types of waves. For instance, it can be observed in light waves from distant stars and galaxies, helping scientists to determine their velocities and infer valuable information about the universe. In medicine, Doppler shifts are utilized in ultrasounds to assess blood flow. The greater the speed of the source or the observer, the more pronounced the Doppler effect will be.
Which of the following statements about the cosmic background radiation is not true?
A) It has a temperature of about 3 degrees K above absolute zero. B) It is the result of a mixture of radiation from many independent sources, such as stars and galaxies. C) It had a much higher temperature in the past. D) It was discovered by Penzias and Wilson in the early 1960s. E) It appears essentially the same in all directions (it is isotropic)
Microwave background radiation was accidentally discovered by Penzias and Wilson on 1964. This is a form of electromagnetic radiation that is present in the whole universe and completely fills it (it is isotropic).
It is the leftover radiation from the big bang.Its frequency belongs to the microwaves range and is one of the main demonstrations of the of the Big Bang theory model.
It is important to note the Big Bang occurred 400,000 years before the events related to the microwave cosmic radiation, this means the Big Bang occurred first.
The incorrect statement about cosmic background radiation is that it's a mixture of radiation from many independent sources like stars and galaxies. It is actually the thermal radiation left over from the Big Bang.
Explanation:The statement B) It is the result of a mixture of radiation from many independent sources, such as stars and galaxies, is not true regarding cosmic background radiation. Cosmic background radiation is not a mixture of radiation from different sources, but actually the thermal radiation leftover from the 'Big Bang'. It's effectively the 'echo' or 'afterglow' of the Big Bang, and it appears essentially the same in all directions, which means it's isotropic.
It has a temperature of approximately 3 degrees Kelvin (just above Absolute Zero), as discovered by Arno Penzias and Robert Wilson in the early 1960s. This radiation was much hotter in the past, but has cooled as the universe expanded over billions of years.
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While the furnace is operating, heated air and flue products spill out of burner compartment. what is the problem?
Answer:
ligma
Explanation:
Which of the following statements are true about bar magnets?
a. The direction of the magnetic field are considered to flow from the south pole to the north pole around the outside of the magnet.
b. If a bar magnet is cut in half, two new magnets will be formed each with a south and north pole
c. The north pole of a bar magnet will align itself with the South Pole of the earth.
d. All magnets have a similar magnetic field as a bar magnet.
Answer:
b. If a bar magnet is cut in half, two new magnets will be formed each with a south and north pole
Explanation:
As we know that magnetic field lines always originates from north pole of magnet and then terminate at south pole.
Also all magnets must have two poles (i) North pole (ii) South Pole
now if we break a magnet into two parts then this magnet will again form two new poles on the opposite sides so that each half will again have two different poles of magnet
So here we can say that when a bar magnet is cut into two parts then each part will behave like a new magnet.
so correct answer will be
b. If a bar magnet is cut in half, two new magnets will be formed each with a south and north pole
Final answer:
Bar magnets have a magnetic field direction from the north pole to the south pole externally, and cutting a bar magnet in half results in two new magnets each with a north and a south pole. The north pole of a magnet aligns with the Earth's magnetic South Pole.
Explanation:
The truth about bar magnets can be understood by examining their properties and behaviors:
Statement a is incorrect. The direction of the magnetic field lines around a magnet is from the north pole to the south pole externally, and it's the opposite inside the magnet.Statement b is correct. When you cut a bar magnet in half, you end up with two new magnets, each with a north and a south pole.Statement c is correct as the north pole of a bar magnet will align with the Earth's magnetic South Pole, which is geographically near the Earth's North Pole.Statement d is overly general. While it is true that all magnets have a north and south pole and the field lines form closed loops, their magnetic field shapes can vary based on the physical shape of the magnet.in situations involving equal masses, chemical reactions produce less energy than what reactions?
help fast!!!!!
In comparison to chemical reactions, nuclear reactions such as nuclear fusion and fission produce significantly more energy and involve a more noticeable change in mass, in line with Einstein's mass-energy equivalence principle.
In situations involving equal masses, chemical reactions produce less energy than nuclear reactions, such as nuclear fusion and nuclear fission. The differences in mass and energy are principles rooted in Albert Einstein's theory of relativity, summarized by the famous equation E=mc2, which relates mass (m) to energy (E). Chemical reactions typically involve energy changes on the order of thousands of kilojoules per mole, while nuclear reactions involve changes several orders of magnitude greater, often billions of kilojoules per mole. Hence, the energy released or absorbed in chemical reactions is significantly less than that in nuclear reactions, which are also accompanied by a more noticeable decrease in mass according to Einstein's principle.
The color of an opaque object is the same as the light that is
a) transmitted b) absorbed c) reflected d) all of these
Answer: reflected
A material is opaque when it does not allow light to pass through itself.
In other words:
When light illuminates an opaque object, no ray passes through it, as most of the light is reflected or absorbed by the object.
In this context, the main characteristic of this type of objects is that the color of the material depends on the light it absorbs. It means that depending on its chemical composition they can absorb certain wavelengths (colors) and reflect others.
Therefore, the color we see in an object is the light it reflects. For example, if we see a red table, this means that when light iluminates it, this table absorbed all the visible wavelengths, except the red, which is the light that is reflected and perceived by our eyes.
Will these balloons be repelled or attracted? Why? Enter your answer in the space provided.
Answer:
They will be attracted.
Explanation:
They will be attracted because the negatives block the positive in the right balloon and positive attracts negative. Also, the positive attracts the negative in the left balloon. Therefore, they will be attracted. Hope this helps.
Answer:
they will atract eachother
Explanation:
A candle is placed in front of a concave spherical mirror of focal length 9.60 cm. The image of the candle is inverted and 3.40 times as large as the candle itself. What is the distance of the candle to the mirror? Show all work and provide units of measure.
f = 9.60 cm
m = -3.40 ( because the image is inverted the number is negative)
u = distance
M = f / f-u
-3.40 = 9.60 / (9.60 - u)
Solve for u:
u = 12.42 cm (Round answer as needed.)
An atom with an imbalance of electrons to protons is
An ion is an atom that is electrically charged by gaining or losing one or more electrons.
To understand it better:
An atom has a nucleus with electrons around it and has a neutral charge. When an electron is added or detached, this atom is electrically charged, that is, it ceases to have a neutral charge and becomes an ion.
In this sense, there are two types of ions:
-Anions: ions negatively charged, by the gain of electrons in the atom.
-Cations: ions positively charged, by the loss of electrons in the atom.
Final answer:
An atom that has an unequal number of electrons and protons is called an ion. This imbalance creates an ion with a net positive or negative charge, called a cation or an anion respectively.
Explanation:
An atom with an imbalance of electrons to protons is known as an ion. Atoms are normally electrically neutral because they have an equal number of protons and electrons. However, when atoms gain or lose electrons, they become ions, which can be either positively or negatively charged. This imbalance in charge leads to electrical forces that can cause the ion to interact with other ions or molecules.
A positive ion, called a cation, is formed when an atom loses one or more electrons. Conversely, a negative ion, referred to as an anion, is created when an atom gains electrons. The process of an atom becoming an ion is called ionization, and these ions play a crucial role in chemical reactions and the formation of compounds.
(A) If an atom of uranium-238( U ) undergoes alpha decay, what daughter isotope is produced? (B) If this radioisotope from (A) then undergoes beta decay, what new daughter isotope is produced. Show your reasoning and be sure to identify the name of the daughter isotopes. Use the image to the periodic table below to identify the daughter isotopes
Answer:
Th-234, Pa-234
Explanation:
In alpha decay, 2 protons and 2 neutrons are lost. So U-238 would become Th-234.
In beta decay, one neutron is turned into a proton. So Th-234 would become Pa-234.
rank planets left to right based on distance from the sun
from farthest to the nearest
Neptune
Uranus
saturn
Jupiter
mars
earth
venus
mercury
Answer:
I mean since this is just telling where the normal line of the planets is and not a Jovian etc.
MercuryVenusEarthMarsJupiterSaturnUranusNeptuneExplanation:
It's just asking the order from smallest to greatest. Just flip it the other direction if it's largest to smallest.
when water vapor condenses on the inside of a window, the window becomes
Answer:The window becomes wet.
Explanation: When the water vapor condenses, the vapor is changing into its liquid form. In this case, the vapor condenses into liquid water.
Humid/ wet. You will see drops on the inside of the window. Condensation is the change from a gas to a liquid.
The volume of a gas at 400.0ml when the pressure is 1.00atm. at the same temperature, what is the pressure at which the volume of the gas is 2.0l?
Answer:
5.025 atm
Change the 2.01 to ml then cross multiply
400/1= 2010/x
210/400=5.025
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS AND I NEED ALL CORRECT ANSWERS ONLY!!!
In a magnet, what type of poles are attracted to each other?
B.
because N -pole and S-pole attrack
Answer:
Opposite poles attract each other, similar poles repel.
Explanation:
(Unlike or different poles)
Describe how electric potential energy, kinetic energy, and work change when two charges of opposite sign are placed near each other.
potential energy is energy that is stored and kinetic energy is energy in motion and I believe that if you try to put them together it might not work potential energy would be a minus in the side for kinetic energy would be a plus sign
As opposites attract, Potential energy is pulled to Kinetic energy. The force from Kinetic energy is working on potential energy over a distance. This means the potential energy (q )started with is being converted into kinetic energy (Q). Potential energy is accelerating and picking up speed.
What are potential energy and kinetic energy?Potential energy is what we call stored energy. Kinetic energy is a form of energy that an object or a particle has by reason of its motion.When the electric field does positive work on a charge (as in the example above), the potential energy of the field decreases as the tank is depleted of energy. Conversely, the potential energy increases when the electric field steals energy by doing negative work (by slowing down a charge, for instance).To learn more about potential and kinetic energies, refer to: https://brainly.com/question/18556454
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A radioisotope has a half-life of 5.50 min and an initial decay rate of 7200 Bq. What will be the decay rate after 22 min? Show all work and include units of measure.
Explanation:
This problem can be solved using the Radioactive Half Life Formula:
[tex]A=A_{o}.2^{\frac{-t}{h}}[/tex] (1)
Where:
[tex]A[/tex] is the final amount of radioisotope (decay rate)
[tex]A_{o}=7200Bq[/tex] is the initial amount of the radioisotope
[tex]t=22min[/tex] is the time elapsed
[tex]h=5.50min[/tex] is the half life of the radioisotope
Knowing this, let's find [tex]A[/tex] from (1):
[tex]A=(7200Bq).2^{\frac{-22min}{5.50min}}[/tex] (2)
[tex]A=(7200Bq).2^{(-4)}[/tex]
[tex]A=(7200Bq)(0.0625)[/tex] (3)
Finally:
[tex]A=450 Bq[/tex]>>> This is the decay rate of the radioisotope
Note it is in Becquerels (Bq), which is the derived unit approved by the International System of Units for radioactivity
Two electrodes connected to a 9.0 V battery are charged to ±45 nC. What is the capacitance of the electrodes?
Answer:
= 5 × 10^-9 F
Explanation:
Capacitance is calculated by the formula;
C = Q/V;
where, C is the capacitance, Q is the charge in coulombs and V is the voltage across.
in this case;
Charge = ± 45 × 10^-9 Coulombs
Voltage = 9.0 V
Therefore;
Capacitance = 4.5 × 10^-8 /9
= 5 × 10^-9 F
A reaction in a solution would proceed slowest when -
A.water is added and it is cooled.
B.water is added and it is warmed.
C.reactants are added and it is cooled.
D.reactants are added and it is warmed.'
the answer is A *but I am not sure*
What is the value of work when a piston of volume 0.2 l expands against an external pressure of 200 kpa to a volume of 3.4 l?
Answer:
[tex]W=640Pam^3=640J[/tex]
Explanation:
To calculate the work, given a change in volume we use the following formula:
[tex]W=p\Delta V=p(v_{f}-v_{i})[/tex]
Where [tex]W[/tex] is work, [tex]p[/tex] is pressure, [tex]v_{f}[/tex] is the final volume, and [tex]v_{i}[/tex] is the initial volume.
In this case:
[tex]p=200kPa=200x10^3Pa[/tex]
[tex]v_{f}=3.4l[/tex]
[tex]v_{i}=0.2l[/tex]
We need to convert liters to [tex]m^3[/tex] (to get joule units in the work ) Since [tex]1l=0.001m^3[/tex]
[tex]v_{f}=3.4l=0.0034m^3[/tex]
[tex]v_{i}=0.2l=0.0002m^3[/tex]
Thus, thw work is:
[tex]W=200x10^3Pa(0.0034m^3-0.0002m^3)[/tex]
[tex]W=200x10^3Pa(0.0032m^3)[/tex]
[tex]W=640Pam^3=640J[/tex]
the value of work in the expansion is [tex]640J[/tex]
This question involves the concepts of work done by the piston and the pressure-volume-work equation.
The value of work done will be "640 J".
The pressure-volume-work equation is given as follows:
[tex]W=P\Delta V[/tex]
where,
W = Work done by the piston = ?
P = External pressure = 200 KPa = 200000 Pa
ΔV = Change in volume = 3.4 L - 0.2 L = 3.2 L = 0.0032 m³
Therefore,
[tex]W=(200000\ Pa)(0.0032\ m^3)[/tex]
W = 640 J
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The attached picture shows pressure-volume-work equation.
Two polarizers are arranged as shown. How much light will reach point X?

0%
less than 50% but more than 0%
50%
more than 50% but less than 100%
100%
Answer:
It will be 50%
Explanation:
Two polarizers at intertwining angles like that will still have 50% of the light come through. Although if you had them on top of each other at vertical angles then it would be 100%
The correct answer is less than 50% but more than 0%.
To determine how much light reaches point X, we need to understand the behavior of light passing through polarizers. When unpolarized light passes through a polarizer, the intensity of the transmitted light is reduced by half, resulting in polarized light. This means that the first polarizer will transmit 50% of the incident light.
When this polarized light encounters the second polarizer, the amount of light that passes through depends on the angle between the transmission axes of the two polarizers. If the axes are parallel, 100% of the polarized light will pass through, and if they are perpendicular, no light will pass through.
In the given scenario, the second polarizer is oriented at 45 degrees relative to the first polarizer. According to Malus's law, the intensity I of the transmitted light after passing through the second polarizer is given by:
[tex]\[ I = I_0 \cos^2(\theta) \][/tex]
Given that [tex]\( \theta = 45^\circ \),[/tex] we have:
[tex]\[ I = I_0 \cos^2(45^\circ) \][/tex]
Since[tex]\( \cos(45^\circ) = \frac{1}{\sqrt{2}} \),[/tex] we can calculate the intensity as:
[tex]\[ I = I_0 \left(\frac{1}{\sqrt{2}}\right)^2 = I_0 \left(\frac{1}{2}\right) \][/tex]
Since [tex]\( I_0 \)[/tex] is already 50% of the original intensity (after the first polarizer), we need to further reduce this by half to find the intensity at point X:
[tex]\[ I = 0.5 \times 0.5 = 0.25 \][/tex]
This means that 25% of the original unpolarized light will reach point X, which is less than 50% but more than 0%.