for a uniform object, we can assume that any torque due to the weight of the object acts as if all the mass of the object is concentrated at the object's center of mass (or center of gravity). T/F
Answers
True. For a uniform object, it is true that we can assume any torque due to the weight of the object acts as if all the mass of the object is concentrated at the object's center of mass (or center of gravity). This assumption is based on the principle of equilibrium and simplifies the analysis of rotational motion.
The center of mass of an object is the point where the entire mass of the object can be considered to be concentrated. In a uniform object, where the mass is evenly distributed, the center of mass coincides with the geometric center of the object. By considering the torque due to the weight acting at the center of mass, we can simplify the calculation of rotational equilibrium without needing to consider the distribution of mass throughout the object.
This assumption is valid as long as the object is uniform and the external forces acting on it do not cause significant deformation or redistribution of mass. In more complex cases, where the object is not uniform or there are external forces that affect its mass distribution, a more detailed analysis is required.
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Related Questions
a roller coaster car of mass 465kg rolls up a hill with a vertical height of 75m from the ground. What is the potential energy?
Answers
\(\\ \sf\longmapsto P.E=mgh\)
\(\\ \sf\longmapsto P.E=465(75)(10)\)
\(\\ \sf\longmapsto P.E=3487500J\)
Potential energy = 341775 J
What is potential energy of an object ?Potential energy is the energy stored within an object, due to the object's position, arrangement or state.
given
mass = 465kg
height = 75m
g = 9.8 m/\(s^{2}\)
Potential energy = m*g*h
= 465 * 9.8 * 75 = 341775 J
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If an equation is already balanced, how would you express that in an answer?
A. Write 'balanced as written.'
B. Add a tick next to it.
C. Do not write anything next to it.
Answers
Answer:
C. Do not write anything next to it.
Explanation:
If an equation is already balanced there is no need to provide information of that.
A ‘can-chiller’ is used to make a can of drink colder. The initial temperature of the liquid in the can was 25.0 °C. The can-chiller decreased the temperature of the liquid to 20.0 °C. The amount of energy transferred from the liquid was 6930 J. The mass of liquid in the can was 0.330 kg.
Calculate the specific heat capacity of the liquid. Give the unit.
Please help :)
Answers
Answer:
4200 J/°C/kg
Explanation:
The formula for heat transfer is given by :
Q= m*c*ΔT where;
Q= heat transferred = 6930 J
m=mass of the liquid = 0.330 kg
c= specific heat capacity=?
ΔT = 25-20 = 5.0°C
Applying the values in the formula as;
Q= m*c*ΔT
6930 = 0.330 * c * 5
6930 = 1.65 c
6930/1.65 = c
4200 = c
c= 4200 J/°C/kg
You have two springs, and you have tested both and graphed the results. Spring A has a slope kA = 30g/cm, and spring B has a slope kB = 50 g/cm.
A) Spring A is a shorter spring than B when they are both unstretched.
B) Spring A will stretch more than B if you hang the same amount of mass on each spring.
C) No! Spring B will stretch more than A if you hang the same amount of mass from each spring.
Answers
Spring A will stretch more than spring B if same mass is hanged from both of them because the value of Ka is less than that of Kb.
According to hook's law, for a spring,
F = -Kx
where,
F is applied force on the spring,
x is the extension or compression in string,
K is the constant of proportionality known as spring constant,
The value of spring constant tells us about the stiffness of the spring,
According to the situation,
Ka = 30g/cm
Kb = 50g/cm
So, the answer is option B,
As we can see, the value of Kb is more than Ka so, we can say that the spring B is more stiff than spring A,
So, if same mass is hanged from the spring A and Spring B, the spring A will stretch more.
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In a dentist's office an X-ray of a tooth is taken using X-rays that have a frequency of 4.99 × 1018 Hz. What is the wavelength in vacuum of these X-rays?
Answers
The wavelength in vacuum of these X-rays is approximately 6.01 × 10^-11 meters. In a dentist's office, an X-ray of a tooth is taken using X-rays that have a frequency of 4.99 × 10^18 Hz. To calculate the wavelength in vacuum of these X-rays, we can use the equation:
wavelength = speed of light / frequency
The speed of light in vacuum is approximately 3 × 10^8 meters per second. Plugging in the given frequency, we get:
wavelength = (3 × 10^8 m/s) / (4.99 × 10^18 Hz)
Simplifying this expression, we get:
wavelength = 6.01 × 10^-11 meters
Therefore, the wavelength in vacuum of these X-rays is approximately 6.01 × 10^-11 meters. It's important to note that X-rays have a very short wavelength, which allows them to penetrate through tissues and bones. However, this also means that they can be harmful if not used carefully and with proper shielding.
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11.
2.4 g/mL x 15.82 mL
Answers
Answer:
The final solution is 38 g.
Explanation:
(2.4 (g / mL)) x 15.82 mL
= 37.96800 grams
When rounded, we get 38, so 38 g is the final solution.
Answer:
38 g is the answer
If the distance between two objects is 4.00 m and the distance is tripled, then what is the new distance? 3
Answers
If the distance between two objects is 4.00 m and the distance is tripled, then the new distance will be 12.00 m.
To find out the new distance, you need to multiply the original distance by the factor by which it is tripled, which is 3.In other words, if the distance between two objects is "d", and it is tripled, then the new distance is 3d.
Using this formula, if the original distance is 4.00 m, then the new distance will be 3 x 4.00 m = 12.00 m.
The new distance is three times the original distance.
Therefore, the new distance between the two objects will be 12.00 meters if the original distance was 4.00 meters and it was tripled.
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draw a figure of a simple pendulum explain its amplitude and effective length ?
Answers
Answer:
Explanation:
A simple pendulum consists of a mass (usually represented as a small object or bob) attached to a string or rod of negligible mass. The mass is free to swing back and forth under the influence of gravity.
In the figure, the point of suspension is denoted by "O," and the mass (bob) is represented by the small circle. The string or rod is represented by the vertical line connecting the point of suspension to the bob.
Amplitude:
The amplitude of a pendulum refers to the maximum displacement or swing of the bob from its equilibrium position. In the figure, the amplitude can be represented by the angle formed between the vertical position and the position of the bob when it swings to its maximum distance on one side. It is usually denoted by the symbol "A."
Effective Length:
The effective length of a pendulum refers to the distance from the point of suspension to the center of mass of the bob. It represents the distance over which the mass swings back and forth. In the figure, the effective length can be measured as the length of the string or rod from the point of suspension to the center of the bob. It is usually denoted by the symbol "L."
It is important to note that the amplitude and effective length of a simple pendulum affect its period of oscillation (the time taken for one complete swing). The relationship between these parameters and the period can be described by mathematical formulas.
Overall, the simple pendulum is a fundamental concept in physics and provides a simplified model for understanding oscillatory motion and the principles of periodic motion.
If a NASCAR driver is driving around a track, and he travels 600 miles in 3 hours, what is his average speed in miles per hour (mph)? __________ mph
Answers
Answer:
200 mph.
Explanation:
If a NASCAR driver travels 600 miles in 3 hours, the way to calculate the speed at which the car is driving comes from dividing the distance factor by the time factor.
Thus, we must divide 600 by 3 (600/3), which gives 200 as result. Thus, if in 3 hours he travels 600 miles, in one hour he will travel 200 miles, which means that his average speed is 200 mph.
Five grams of nitrogen gas at an initial pressure of 3.0 atm and at 20? C undergo an isobaric expansion until the volume has tripled.
a. What is the gas volume after the expansion?
b. What is the gas temperature after the expansion? The gas pressure is then decreased at constant volume until the original temperature is reached.
Answers
a. To determine the gas volume after the isobaric expansion, we can use the ideal gas law:
PV = nRT
Where P is the pressure, V is the volume, n is the amount of substance (in moles), R is the ideal gas constant, and T is the temperature (in Kelvin).
Since the pressure remains constant during the expansion, we can write:
(V1)(P1) = (V2)(P2)
where V1 and P1 are the initial volume and pressure, respectively, and V2 and P2 are the final volume and pressure, respectively. We can solve for V2:
V2 = (V1)(P1)/(P2) = (5 g)/(28.0134 g/mol)(3.0 atm) x 3 = 6.39 L
Therefore, the gas volume after the isobaric expansion is 6.39 L.
b. To determine the gas temperature after the isobaric expansion and subsequent decrease in pressure at constant volume, we can use the combined gas law:
(P1)(V1)/(T1) = (P2)(V2)/(T2)
where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2, V2, and T2 are the final pressure, volume, and temperature, respectively.
Since the volume remains constant during the pressure decrease, we can write:
(P1)/(T1) = (P2)/(T2)
Solving for T2:
T2 = (P2)/(P1)(T1) = (1 atm)/(3.0 atm)(293 K) x 20 + 273 = 300.8 K
Therefore, the gas temperature after the isobaric expansion and pressure decrease is 300.8 K (27.65 °C).
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Hey can anyone pls pls pls answer dis i rlly need it i only need the conclusion!!
Answers
Explanation:
since oil needs more boiling time and a higher boiling temperature the oil would have to be in the pot longer than the water if it needs to be boiled longer that is why the blue line for oil temp. is significantly higher than that of the water temp.
after driving a portion of the route, the taptap is fully loaded with a total of 27 people including the driver, with an average mass of 70 kgkg per person. in addition, there are three 15- kgkg goats, five 3- kgkg chickens, and a total of 25 kgkg of bananas on their way to the market. assume that the springs have somehow not yet compressed to their maximum amount. how much are the springs compressed? enter the compression numerically in meters using two significant figures. view available hint(s)
Answers
When something, like a spring, is stretched, the added length is referred to as its extension.According to Hooke's law, as long as the limit of proportionality is not crossed, a spring's extension is directly proportionate to the force exerted.
Solve the problem ?
The ends of an extension spring connect to two devices.The hooks and loops on the extension springs store and compress energy.An extension spring delivers return force to connected mechanisms via hooks or loops.The no-load position is where tightly wrapped extension springs normally rest. Total mass refers to the combined weight of the shell, its structural and support equipment, and the heaviest load that may be conveyed.The spring's compression at the specified weight is 0.80cm.
"Your inquiry is incomplete because it appears to be lacking the information below,"
The taptap's spring has a k value of 2.4 104 N/m.
the settings provided;
Each of the 27 people weighs 69 kg.
Each of the three goats weighs 15 kg.
Each of the five hens weighs 3 kg.
The weight of the bananas is 25 kg
The taptap's total mass, which includes every passenger, is computed as;
the people's combined mass is 27 x 70 or 1960 kg.
The goats' combined mass is 3 x 15 =45 kg.
The birds' combined mass is equal to 5 x 3 = 15 kg.
The bananas weigh a total of 25 kilograms
The extension of the spring
= 1960×9.8/2.4×104
= 19208/24000
= 0.80 cm
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Madison applied a force of 150 N in a horizontal direction to a sleigh. Meanwhile the sleigh slid 30.0 m across a level surface of snow. The work done on the sleigh by Madison is _________ J.
Answers
Answer:
4500 joules
Explanation:
since work(joules) = force(newtons) x distance(meters),
150N x 30M = 4500 Joules
Answer:
4500 joules
Explanation:
150 N x 30 M = 4500 joules
A object of mass M1 travels in a circular path of radius R on a horizontal table. The object is attached to a string that passes through a hole in the center of the table. An object of mass M2 is attached to the other end of the strings and hangs vertically under the table, which produces a force on M1. All frictional forces are considered to be negligible. Which quantity or quantities must be measured to be determined the tangential speed required to keep the system in equilibrium
Answers
Only gravity acceleration is needed.
If we let gravity be g
I will rename M1 as M₁ for the first mass
I will rename M2 as M₂ to further reduce the possible confusion of a subscript with a multiplicand.
What is tension?The tension in the string will support the weight of M₂ and will supply the centripetal force required to keep M₁ on a circular path:
M₁v²/R = M₂g
v = √(M₂gR/M₁)
A object of mass M1 travels in a circular path of radius R on a horizontal table. The object is attached to a string that passes through a hole in the center of the table. An object of mass M2 is attached to the other end of the strings and hangs vertically under the table, which produces a force on M1. All frictional forces are considered to be negligible.
Therefore, Only gravity acceleration is needed.
If we let gravity be g
I will rename M1 as M₁ for the first mass
I will rename M2 as M₂ to further reduce the possible confusion of a subscript with a multiplicand.
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Jeff was struggling with his agggressive behavior. Throughout high school he often found himself in fights. Five years after high school he became an Extreme Sports contender. He channeled his agression and is happily married with a calmer personality outside the ring.
Answers
Any action intended to hurt, harm, or cause suffering to another living thing or group of beings is considered to be aggressive.
What causes harm?Specifically, acts that injure someone physically. action that harms psychological health, such as that which instills apprehension, concern, or anguish.When you hurt your brother, you also hurt him. One way to damage someone is to hurt them physically.
Distress: What is it?People who are distressed could also believe that they are unable to handle or cope with alterations brought on by everyday activities or medical conditions like cancer. It is unfavourable, unhealthy, and discouraging. Stressors events that trigger the stress reaction in our bodies. A stressor is anything that creates stress.
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A person’s participation in a research project must be ________.
Answers
Answer:
A person must be "voluntary".
Explanation:
The research project has so far been implementing this very same factual information on either the basis of results for such an induced conformational.
A report that serves to protect investigators from unintentional reporting of personally identifiable details that were acquired during a research project. This could be characterized as constantly looking for new consequences on just about any particular subject based on assumptions, statistics, and conducting an investigation of the explanations.A car drives 2 blocks north, then 3 blocks east, and finally 2 blocks south. What is the
displacement of the car?
A) 15 km
B) 3 km west
C) 3 km east
D) 7 km north
Answers
The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. Compute the acceleration due to gravity on the surface of Venus from these data.
Answers
To compute the acceleration due to gravity on the surface of Venus, we can use the formula for gravitational acceleration:
acceleration due to gravity = (G * mass of planet) / (radius of planet^2)
Given that the mass of Venus is 81.5% that of the Earth, we can calculate the mass of Venus as follows:
mass of Venus = (81.5/100) * mass of Earth. Similarly, the radius of Venus is 94.9% that of the Earth, so we can calculate the radius of Venus as follows:
radius of Venus = (94.9/100) * radius of Earth
Now, substitute these values into the formula for gravitational acceleration:
acceleration due to gravity on Venus = (G * mass of Venus) / (radius of Venus^2)
Finally, calculate the acceleration due to gravity on Venus using the given values and the formula.
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When propoane (C3H8) undergoes combustion, what are the products formed?
Answers
Answer:
fire
Explanation:
The combustion of propane (C3H8) formed the products of carbon dioxide and water.
Alkanes are known as saturated straight-chain aliphatic hydrocarbons. They undergo combustion reactions with oxygen. Like other alkanes, Propane exhibits combustion reaction in the same way as other alkanes do.
During combustion reaction, Propane burns in the presence of abundant oxygen to produce water and carbon dioxide. This combustion reaction librates a heat of about 50 MJ/kg.
The equation of the reaction can be shown as:
\(\mathbf{C_3H_8 + 5O_2 \to 3CO_2 + 4H_2O}\)
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What is the electric force between a +3 µC point charge and a –3 µC point charge if they are separated by a distance of 5.0 cm? Show your work. (µC = 1.0 × 10–6 C)
Answers
The electric force between a +3 µC point charge and a –3 µC point charge if they are separated by a distance of 5.0 cm can be calculated by using Coulomb’s law. F = kq1q2 / r²F = (9.0 × 109 N·m2/C2) × (3.0 × 10-6 C) × (-3.0 × 10-6 C) / (0.05 m)²F = -243 N
The electric force between a +3 µC point charge and a –3 µC point charge if they are separated by a distance of 5.0 cm can be calculated by using Coulomb’s law.
Coulomb’s law states that the electric force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Mathematically, F = kq1q2 / r²where, F is the electric forceq1 and q2 are the magnitudes of the two charges is Coulomb’s constant (9.0 × 109 N·m2/C2)r is the separation between the two charges.
Let's use the values from the question to calculate the electric force: F = kq1q2 / r²F = (9.0 × 109 N·m2/C2) × (3.0 × 10-6 C) × (-3.0 × 10-6 C) / (0.05 m)²F = -243 N (the negative sign indicates that the force is attractive)Therefore, the electric force between the two charges is 243 N.
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if a wheel is turning at 3.0 rad/s, the time it takes to complete one revolution is about:
Answers
If a wheel is turning at 3.0 rad/s, the time it takes to complete one revolution is about 2π / 3.0 ≈ 2.094 seconds.
To determine the time it takes for a wheel to complete one revolution at a speed of 3.0 rad/s, you can follow these steps,
1. Recall that one revolution corresponds to an angle of 2π radians.
2. Use the formula: time = angle / angular speed.
3. Substitute the given values: time = 2π / 3.0 rad/s.
Therefore, if a wheel is rotating at 3.0 rad/s, one revolution will take approximately 2π / 3.0 ≈ 2.094 seconds.to complete.
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If a wheel is turning at 3.0 rad/s, the time it takes to complete one revolution is about 2π / 3.0 ≈ 2.094 seconds.
To determine the time it takes for a wheel to complete one revolution at a speed of 3.0 rad/s, you can follow these steps,
1. Recall that one revolution corresponds to an angle of 2π radians.
2. Use the formula: time = angle / angular speed.
3. Substitute the given values: time = 2π / 3.0 rad/s.
Therefore, if a wheel is rotating at 3.0 rad/s, one revolution will take approximately 2π / 3.0 ≈ 2.094 seconds.to complete.
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what is the process where dna can change in many ways?
Answers
Answer:
process of recombination
Explanation:
this process happens when 2 molecules of DNA exchange pieces of their genetic material with each other
youa re on topa. building that is 75 m tall. you toss a ball straight up with a velocity of 33.8 m/as. how high does the ball travel. it goes up and then falls down to the ground below. how much time is it in the air
Answers
The ball will travel up to a height of 44.89 m. The ball will be in the air for 8.6 seconds. In this problem, the ball is thrown from a height of 75 m. The initial velocity of the ball is 33.8 m/s.
We have to calculate how high the ball travels and for how long it remains in the air.
To find the maximum height that the ball attains,
we can use the formula: h = u^2/2g
Where h is the maximum height, u is the initial velocity and g is the acceleration due to gravity which is equal to 9. 81 m/s^2.Substituting the values,
we get: h = (33.8 m/s)^2/(2 × 9.81 m/s^2)
h ≈ 44.89 m
Therefore, the ball will travel up to a height of approximately 44.89 m.
To find how long the ball is in the air, we can use the formula :t = 2u/g
where t is the time taken to reach maximum height.
substituting the values, we get :t = 2 × 33.8 m/s / 9.81 m/s^2t ≈ 6.87 s
Therefore, the ball is in the air for approximately 6.87 s to reach maximum height.
As the ball falls down to the ground, the total time in the air will be twice this value, which is approximately 8.6 seconds.
Velocity (u) = 33.8 m/s
Acceleration (g) = 9.81 m/s^2
Maximum height (h) = u^2/2g =
(33.8 m/s)^2/(2 × 9.81 m/s^2) ≈ 44.89 m
Time to reach maximum height (t) = 2u/g = 2 × 33.8 m/s / 9.81 m/s^2 ≈ 6.87 s
Total time in the air = 2t = 2 × 6.87 s ≈ 8.6 s.
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A certain one-dimensional conservative force is given as a function of x by the expression F = -kx^3, where F is in newtons and x is in meters. A possible potential energy function U for this force is
Answers
Answer:
Choice D
Explanation:
F(x) = -kx^3
Integrate F(x) with respect to x:
U(x) = - ∫ F(x) dx
= - ∫ (-kx^3) dx
= k/4 * x^4 + C
C is a constant of integration. Find C by specifying the potential energy at a particular value of x. To make it easy, assume that U = 0 at x = 0:
U(0) = k/4 * 0^4 + C = 0
C = 0
Therefore, the potential energy function for the given force F = -kx^3 is:
U(x) = k/4 * x^4
Choice D: U = \(\frac{1}{4}\)kx⁴
Do ocean currents affect aquatic life? What do you think and why?
Answers
Answer: By moving heat from the equator toward the poles, ocean currents play an important role in controlling the climate. Ocean currents are also critically important to sea life.
Explanation: Plzz mark me as brainliest !!
Which of the following best describes the circuit shown below?
A. Short
B. Series
C. Parallel
D. Open
Answers
Answer:
parallel combination of cell
4 of
the following will cause an object's density to increase?
A Its mass increases
B
Its volume decreases
C
Its atoms move closer together
D
All of the above
Answers
Answer:
all of the above????
Explanation:
my teacher told me.
A video recorder is loaded with a tape which plays for 180 minutes.
The length of the tape is 260 m.
(a) (i) Calculate the speed of the tape, in metres per minute.
Answers
The speed of the tape, in metres per minute is 1.44 meter per minute
What is speed?Speed is the distance travelled per unit. Mathematically, it can be expressed as:
Speed = distance / time
With the above formula, we can obtain the speed of the tape. Details below
How to determine the speed of the tapeThe following data were obtained from the question:
Distance = 260 mTime = 180 minutesSpeed =?The speed of the tape can be obtained as illustrated below:
Speed = distance / time
Speed = 260 / 180
Speed = 1.44 meter per minute
Thus, the speed of the tape is 1.44 meter per minute
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Emily makes 0.250 kg of hot tea at 99.0 degrees Celsius. How much ice at 0.00 degrees Celsius must she add to the tea so that the mixture reaches a final temperature of 8.00 degrees Celsius? You may treat the tea as if it is water
Answers
Emily needs to add 0.108 kg of ice to the hot tea.
1. Determine the heat lost by the hot tea. We can use the formula: Q = m * c * ΔT, where Q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
Q_lost = (0.250 kg) * (4186 J/kg·°C) * (99.0°C - 8.0°C)
2. Determine the heat gained by the ice as it melts and reaches the final temperature.
Q_gained = (m_ice) * (334000 J/kg) + (m_ice) * (4186 J/kg·°C) * (8.0°C)
3. Since the energy lost by the tea is equal to the energy gained by the ice, we can set up an equation:
Q_lost = Q_gained
4. Substitute the values and solve for m_ice, the mass of ice.
(0.250 kg) * (4186 J/kg·°C) * (99.0°C - 8.0°C) = (m_ice) * (334000 J/kg) + (m_ice) * (4186 J/kg·°C) * (8.0°C)
5. Simplify and solve the equation:
(0.250 kg) * (4186 J/kg·°C) * (91.0°C) = (m_ice) * (334000 J/kg) + (m_ice) * (4186 J/kg·°C) * (8.0°C)
(955085 J) = (m_ice) * (334000 J/kg) + (m_ice) * (33488 J)
(955085 J) = (m_ice) * (367488 J)
m_ice = (955085 J) / (367488 J)
m_ice ≈ 0.108 kg
Therefore, Emily needs to add approximately 0.108 kg of ice to the hot tea to reach a final temperature of 8.00 degrees Celsius.
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what is the condition for the first dark fringe through a single slit of width w?
Answers
Answer:
The slit width a, must be equal to the wavelength λ
That is, every point on one side of the slit must have a corresponding point that is 180 degrees out of phase on the other side of the slit so the corresponding point on the screen receives no light,
This condition is also known as the Rayleigh criterion for the first dark fringe. It gives the angle at which the first dark fringe will appear in the diffraction pattern for a given wavelength of light and slit width.
When light waves pass through a single slit of width w, they diffract and create a diffraction pattern on a screen placed behind the slit. The pattern consists of a central bright fringe flanked by a series of alternating bright and dark fringes. The condition for the first dark fringe can be determined using the following formula:
sin θ = λ/w
where θ is the angle between the line normal to the slit and the direction of the dark fringe, λ is the wavelength of the light, and w is the width of the slit.
For the first dark fringe, the angle θ is equal to the smallest angle for which the path difference between the waves from the top and bottom edges of the slit is λ/2. This means that the condition for the first dark fringe is:
sin θ = λ/2w
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