The approximate wavelength of the light that forms a diffraction angle of 15.0° through a diffraction grating that has 250.0 lines per mm is 4.60 × 10⁻⁷ m.
formula for the angular position of the nth-order dark band in a diffraction grating is given by:
Where;λ is the wavelength of lightd is the grating separationn is the order of the diffractionθ_n is the angle at which the nth order appears
We are given;d = 1/ 250.0 = 4.0 × 10⁻³ mθ = 15.0° = 15 × (π/180) = 0.262 radiansn = 2
Substitute all values into the formula\(;$$d (\sin θ_n) = nλ$$$$(4.0 × 10⁻³)(\sin 0.262) = (2)λ$$$$\lambda = \frac{(4.0 × 10⁻³)(\sin 0.262)}{2}$$$$λ = 4.60 × 10⁻⁷ m$$\)
Therefore, the approximate wavelength of the light that forms a diffraction angle of 15.0° through a diffraction grating that has 250.0 lines per mm is 4.60 × 10⁻⁷ m.
Summary The wavelength of light that forms a diffraction angle of 15.0° through a diffraction grating that has 250.0 lines per mm is 4.60 × 10⁻⁷ m.
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mars and venus are at very different distances from the sun and venus is twice the size of mars, yet their atmospheric compositions are nearly identical. how can this be given their dramatic physical differences?
The similarities in the atmospheric compositions of Mars and Venus can be explained by their proximity to the Sun, which is the main source of energy for both planets.
What is energy?Energy is the capacity to do work. It is a fundamental physical property of objects and is the ability to cause change. Energy exists in many forms, such as kinetic, potential, thermal, electrical, chemical, nuclear and gravitational. All these forms of energy can be transformed from one form to another.
The Sun's radiation is strong enough to drive the same type of chemical reactions on both planets that produce the same type of atmospheres. This is despite the fact that Mars is much farther from the Sun than Venus, and Venus is much larger than Mars. The fact that their atmospheres have the same composition can be attributed to their shared proximity to the Sun and the intense ultraviolet radiation it produces.
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a 5kg cat is lifted 2 meters into the air. how much gpe does it gain?
Answer:
100
Explanation:
PE=mgh=5×10×2=100Jplease answer asap its important
Answer:
It is the green answer.
Explanation:
Please mark brianliest.
What is different about parasitism compared to the other biological relationships such as mutualism, predation, competition, and commensalism?
Answer: parasitic organisms cause harm to other organisms.
Answer:
parasitic organisms cause harm to other organisms.
Explanation:
An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to a flywheel. The flywheel is a solid disk with a mass of 66.5 kg and a radius R = 0.625 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of 0.230 m. The tension Tu in the upper (taut) segment of the belt is 171 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s2. Find the tension in the lower (slack) segment of the belt.
The tension in the lower segment of the belt is 219 N. To find the tension in the lower segment of the belt, we can start by analyzing the forces acting on the flywheel.
The net torque acting on the flywheel can be expressed as the product of its moment of inertia and angular acceleration, given by the equation:
\(\[ \tau = I \alpha \]\)
Since the axle is frictionless, the only torque acting on the flywheel is due to the tension in the lower segment of the belt. The moment of inertia of a solid disk can be calculated using the equation:
\(\[ I = \frac{1}{2} m r^2 \]\)
where m is the mass of the flywheel and r is its radius. Substituting this into the torque equation, we have:
\(\[ T_{\text{u}} \cdot r_{\text{pulley}} = \frac{1}{2} m r^2 \cdot \alpha \]\)
Rearranging the equation, we can solve for the tension in the lower segment of the belt:
\(\[ T_{\text{u}} = \frac{1}{2} \frac{m r^2 \alpha}{r_{\text{pulley}}} \]\)
Plugging in the given values, with the mass of the flywheel (m = 66.5 kg), radius of the flywheel (r = 0.625 m), radius of the pulley \((r_{\text{pulley}} = 0.230 m)\), and the angular acceleration \((\alpha = 1.67 rad/s^2)\), we can calculate the tension in the lower segment of the belt:
\(\[ T_{\text{u}} = \frac{1}{2} \frac{66.5 \cdot 0.625^2 \cdot 1.67}{0.230} = 219 \, \text{N} \]\)
Therefore, the tension in the lower segment of the belt is 219 N.
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Balloon a is ___ charged and balloon c is ___ charged. If balloon a approaches balloon c there will be a force of blank between them
Balloon A is positively charged, and balloon C is negatively charged. If balloon A approaches balloon C, there will be an electrostatic force of attraction between them.
When two objects carry opposite charges, they exert an attractive force on each other. This force is known as the electrostatic force and follows Coulomb's law. According to Coulomb's law, the magnitude of the electrostatic force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this scenario, since balloon A is positively charged and balloon C is negatively charged, they have opposite charges. Therefore, the electrostatic force between them will be attractive. The magnitude of the force depends on the charges of the balloons and the distance between them. It is important to note that without specific information about the charges of the balloons and their distance, it is not possible to determine the exact magnitude of the force. To calculate the force, you would need the values of the charges and the distance between the balloons.
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What is the difference between professional and casual communication styles?
Answer:
professional communication style is expected to be formal while the casual is informal.
Explanation:
a circuit has an alternating voltage of 100 volts that peaks every 0.5 second. write a sinusoidal model for the voltage v as a function of the time t (in seconds).
The sinusoidal model for the voltage v as a function of time t (in seconds) for a circuit with an alternating voltage of 100 volts that peaks every 0.5 second can be written as,
v(t) = 100 sin(2πt/0.5)
where sin is the sine function and 2π is a constant factor that represents the angular frequency of the alternating voltage. The period of the alternating voltage is 0.5 seconds, so the factor 2π/0.5 in the argument of the sine function ensures that the voltage peaks every 0.5 seconds. The amplitude of the voltage is 100 volts.
To write a sinusoidal model for the voltage V in a circuit with an alternating voltage of 100 volts that peaks every 0.5 seconds, we need to find the amplitude, period, and angular frequency.
1. The amplitude is the maximum voltage, which is 100 volts.
2. The period is the time taken for one complete cycle, which is 0.5 seconds in this case.
3. To find the angular frequency, use the formula ω = 2π / T, where T is the period. So, ω = 2π / 0.5 = 4π.
Now we can write the sinusoidal model for the voltage V as a function of the time t (in seconds) using these values:
V(t) = 100 * sin(4πt)
This sinusoidal model represents the voltage in the circuit as it alternates with time.
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An echo is picked up by a ship 3s after it was sent. The speed of sound in water is 1540 m.s-¹. What is the depth of the ocean at that point? Show working :)
To find the depth of the ocean, we need to use the formula:depth = (speed of sound * time) / 2
where time is the time elapsed from when the echo was sent until it was picked up. In this case, the time elapsed is 3 seconds. So, the depth of the ocean is:
depth = (1540 m/s * 3s) / 2
depth = 2310 mSo, the depth of the ocean at that point is 2310 meters.
You arrive in science class 45 seconds after leaving math which is 90 meters to the south. What is your velocity?
Explanation: Well, If you arrive in my class 45 seconds after leaving math, which is 90 meters away. you traveled 2m/s ( I hope this helped <3)
When adp and pi are added to the external medium and the vesicles are exposed to light, what will happen?
adp and pi are added to the external medium and the vesicles are exposed to light, The DNP will collapse the H+ gradient that ATP synthase uses to generate ATP.
ATP synthase is the enzyme that makes ATP molecules. It is a multi-part complex that straddles the inner membrane of mitochondria, the energy factories in cells. The enzyme complex interacts with fatty molecules in the mitochondrial inner membrane, creating a curvature that is required to produce ATP more efficiently.
ATP can be hydrolyzed to ADP and Pi by the addition of water, releasing energy. ADP can be "recharged" to form ATP by the addition of energy, combining with Pi in a process that releases a molecule of water.
The DNP will collapse the H+ gradient that ATP synthase uses to generate ATP. Each of the three respiratory enzyme complexes includes metal atoms that are tightly bound to the proteins.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
The wave with the largest amplitude is wave W because it has the highest displacement.
What is the amplitude of a wave?
The amplitude of a wave is the maximum displacement of the wave from its rest or equilibrium position. In other words, it is the distance between the peak or crest of the wave and its resting position (the point at which the wave would be if it were not moving).
The amplitude of a wave can be measured in various units depending on the type of wave, such as meters for a water wave, volts for an electrical wave, or decibels for a sound wave.
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You are in a car moving forward at 12 m/s. You throw a ball in the direction the car is moving. From your point of view, what does the ball do? what does the ball do from someone standing on the side of the roads view?
Answer: it goes the same speed as the car
Explanation:
Ohm's Law relates the following:
A) current, mass, and time
B) volts, amperes and resistance
C) resistivity, area and length
D) resistance, current, and power
Ohm's Law relates the following: volts, amperes, and resistance. Ohm's Law relates the following: volts, amperes, and resistance.
Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The formula for Ohm's Law is: V = IR.
In simpler terms, this means that if you increase the voltage, the current will also increase, but if you increase the resistance, the current will decrease. It can be mathematically expressed as I = V/R, where I is the current in amperes, V is the voltage in volts, and R is the resistance in ohms. This relationship is extremely important in understanding and designing electrical circuits. I hope this long answer helps to explain Ohm's Law!
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what are the two main observational problems with the original big bang theory of the universe
The first law of thermodynamics, which states that you cannot produce or destroy matter or energy, is broken by this. Critics assert that the big bang theory implies the universe didn't exist before the big bang.
According to a theoretical hypothesis known as the Big Bang theory, the cosmos first existed in a state of extreme density and heat. The evolution of the observable universe from the earliest known times through its later large-scale form is explained by a variety of cosmological models of the Big Bang. These models provide a thorough justification for a wide variety of known phenomena, including the abundance of light elements, cosmic microwave background (CMB) radiation, and large-scale structure. Cosmic inflation, or the abrupt and extremely rapid expansion of space during the Universe's early moments, provides an explanation for the flatness problem, or the appearance of uniformity over the whole cosmos. The initial conditions of the Big Bang, however, are not currently well modeled by any commonly accepted quantum gravity theory.
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•Would a moving fan have energy? Why or why not.
•would a non-moving fan have energy? Why or why not.
For each of the following situations, determine charge sign and explain.
The charge in fig A is positive, in fig B is positive and in fig C is negative. this is given by the Fleming's left hand rule.
In magnetism and electromagnetic, the Fleming Left-Hand Rule and Fleming Right-Hand Rule are fundamental principles. They were created by John Ambrose Fleming in the late 19th century as an easy method of determining the direction of motion in an electric motor or the direction of electric current or electric positive charge in an electric generator. It is crucial to remember that these criteria only indicate the direction of the three parameters (magnetic field, current, and force) when the direction of the other two parameters is known and do not define their magnitude.
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(06.04 MC)
Which of the following best describes a human egg cell? (3 points)
Answer: A haploid cell formed in the female uterus
A car slows down from 95m/s to 50m/s in 3 seconds. What is its acceleration?
Answer:
4.17
Explanation:
We started at 95 and went down to 50 in 3 seconds.
The change in volocity would be about -45 km
distance traveld maybe 60
And power around 83.9 kw
I might be wrong so im sorry if I am.
I have not done this in a while.
If a police car drives at a constant speed of 30 km/h, how long will it take to travel a distance of 96 km??
Answer:
3.2 hours
Explanation:
96÷30=3.2
so it should take 3.2 hours
What two horizontal forces are present as a car is pushed down the driveway?(1 point)
push, velocity
power, friction
power, weight
push, friction
The two horizontal forces that are present as a car is pushed down the driveway are push and friction.
A force refers to that which produces or opposes motion. When force(s) is/are acting on a body, they either cause motion to occur or prevent motion from occurring. An example of a force which opposes motion is friction.
For a car being pushed along a driveway, the two possible horizontal forces that act on it are push which moves it forward and friction which resists its motion.
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Answer:
Push and friction
Explanation:
As per Newton's third law
Every action has an equal and opposite reaction.Here the car is pushed so the force applied is pushing force
The opposition force is frictional force
Option D
A force of 24 Newtons acts on an object for 2 seconds. What is
the amount of the impulse?
O 26Ns
O 48 Ns
0 22Ns
O 12Ns
Explain, using a diagram, why electrons travel easily between atoms, while protons do not.
Answer:
Electrons are located in shells surrounding the nucleus of the atom,whereas protons are present inside the nucleus.
Explanation:
Electrons can move out of the shells on providing energy, but movement of proton will require a very high amount of energy (so as to break the nuclear force).
10.What is the minimum work required to lift a 150 N block 2.0 meters vertically?
Write the equivalent formulas for velocity, acceleration, and force using the relationships covered for UCM, Newton’s Laws, and Gravitation.
Answer:
The newton’s second law is F=ma
The Gravitational force is \(F=\dfrac{Gm_{1}m_{2}}{r^2}\)
Explanation:
Given that,
The equivalent formulas for velocity, acceleration, and force using the relationships covered for UCM, Newton’s Laws, and Gravitation.
We know that,
Velocity :
The velocity is equal to the rate of position of the object.
\(v=\dfrac{dx}{dt}\)....(I)
Acceleration :
The acceleration is equal to the rate of velocity of the object.
\(a=\dfrac{dv}{dt}\)....(II)
Newton’s second Laws
The force is equal to the change in momentum.
In mathematically,
\(F=\dfrac{d(p)}{dt}\)
Put the value of p
\(F=\dfrac{d(mv)}{dt}\)
\(F=m\dfrac{dv}{dt}\)
Put the value from equation (II)
\(F=ma\)
This is newton’s second laws.
Gravitational force :
The force is equal to the product of mass of objects and divided by square of distance.
In mathematically,
\(F=\dfrac{Gm_{1}m_{2}}{r^2}\)
Where, m₁₂ = mass of first object
m= mass of second object
r = distance between both objects
Hence, The newton’s second law is F=ma
The Gravitational force is \(F=\dfrac{Gm_{1}m_{2}}{r^2}\)
Two forces one of 12N and another of 5N act on abody in such away that they makes an angel of 90 with each other, what is the resultant
Answer:
13 N
Explanation:
From the question,
If two forces act at right angle to each other, Their result force can be calculated using Pythagoras theorem.
R'² = R₁²+R₂²....................... Equation 1
Where R' = Resultant force, R₁ = First force, R₂ = Second force.
Given: R₁ = 12 N, R₂ = 5 N
Substitute these values into equation 1
R'² = 12²+5²
R'² = 144+25
R'² = 169
R' = \(\sqrt{169}\)
R' = 13 N.
Hence the resultant force is 13 N
Think of times when someone just actions might cause people to dislike him or her,
There are certainly times when someone's actions can cause others to dislike them. For example, if someone consistently behaves rudely or disrespectfully towards others, this can quickly turn people off. we can build positive physical relationships and avoid causing unnecessary conflicts or hurt feelings.
The Similarly, if someone is frequently dishonest or unreliable, this can also cause others to lose trust and respect for them. It's also worth noting that some actions may be more egregious than others and may cause stronger negative reactions. For example, if someone engages in bullying behavior or is openly discriminatory towards certain groups, this is likely to be viewed very negatively by most people. Ultimately, the key to avoiding negative reactions from others is to be mindful of how our actions impact those around us, and to strive to treat others with kindness, respect, and honesty. By doing so, we can build positive physical relationships and avoid causing unnecessary conflicts or hurt feelings.
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Bill drives west at 20\, \dfrac{\text m}{\text s}20 s m 20, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction, then slows to a stop at the red light. A graph of his velocity over time is shown below, where eastward is the positive velocity direction.
Answer:
This
Explanation:
Khan academy answer
which of the following shows the shape of a velocity time graph for an object with constant positive acceleration
Answer: The graph will look like a simple linear equation. It is diagonal and trends upward
Explanation:
True or false? If an object is moving in a circle then there must be a resultant force acting on it.
Answer:
yes
Explanation:
For an object moving in a circle, this resultant force is the centripetal force that acts at right angles to the direction of motion, towards the centre of the circle.