Answer:
Th equivalent of [tex]3m+1-m[/tex] is [tex]2m+1[/tex]
Explanation:
We need to write the equivalent expression of [tex]3m+1-m[/tex]
first, combine the like terms,
[tex]3m-m+1[/tex]
take out the common variable,
[tex](3-1)m+1[/tex]
[tex]2m+1[/tex]
Therefore, the equivalent of [tex]3m+1-m[/tex] is [tex]2m+1[/tex]
Calculate the wavelength, in nanometers, of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 4 to the level n = 2.
The wavelength of the spectral lline produced is about 4.87 × 10⁻⁷ m
[tex]\texttt{ }[/tex]
Further explanationThe term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is :
[tex]\large {\boxed {E = h \times f}}[/tex]
E = Energi of A Photon ( Joule )
h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )
f = Frequency of Eletromagnetic Wave ( Hz )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
initial shell = n₁ = 4
final shell = n₂ = 2
Asked:
λ = ?
Solution:
Firstly, we will use this following formula to calculate the change in energy of the electron:
[tex]\Delta E = R (\frac{1}{(n_2)^2} - \frac{1}{(n_1)^2})[/tex]
[tex]\Delta E = 2.18 \times 10^{-18} \times ( \frac{1}{2^2} - \frac{1}{4^2})[/tex]
[tex]\Delta E = 2.18 \times 10^{-18} \times ( \frac{1}{4} - \frac{1}{16} )[/tex]
[tex]\Delta E = 2.18 \times 10^{-18} \times \frac{3}{16}[/tex]
[tex]\boxed{\Delta E \approx 4.0875 \times 10^{-19} \texttt{ J}}[/tex]
[tex]\texttt{ }[/tex]
Next, we will calculate the wavelength of the light:
[tex]\Delta E = h \frac{c}{\lambda}[/tex]
[tex]4.0875 \times 10^{-19} = 6.63 \times 10^{-34} \times \frac{3 \times 10^8}{\lambda}[/tex]
[tex]\boxed{\lambda \approx 4.87 \times 10^{-7} \texttt{ m}}[/tex]
[tex]\texttt{ }[/tex]
Learn morePhotoelectric Effect : https://brainly.com/question/1408276Statements about the Photoelectric Effect : https://brainly.com/question/9260704Rutherford model and Photoelecric Effect : https://brainly.com/question/1458544[tex]\texttt{ }[/tex]
Answer detailsGrade: College
Subject: Physics
Chapter: Quantum Physics
Final answer:
The wavelength of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 4 to the level n = 2 is approximately 121.57 nm.
Explanation:
The wavelength of the spectral line produced when an electron in a hydrogen atom undergoes the transition from the energy level n = 4 to the level n = 2 can be calculated using the equation:
wavelength = hc / (E2 - E1)
Here, hc is the product of Planck's constant (h) and the speed of light (c), and E2 - E1 is the energy difference between the two levels.
For this transition, the energy difference can be calculated as:
E2 - E1 = -13.6 eV * [(1/n^2) - (1/m^2)]
Substituting the values, we have:
E2 - E1 = -13.6 eV * [(1/2^2) - (1/4^2)]
E2 - E1 = 10.2 eV
Now, substituting the values of hc and E2 - E1 into the equation for wavelength, we get:
wavelength = (1240 eV.nm) / 10.2 eV
wavelength = 121.57 nm
Therefore, the wavelength of the spectral line is approximately 121.57 nm.
How old was the theory of plate tectonicsâthe defining theory of all earth scienceâwhen man first walked on the moon?
A rocket is headed away from earth at a speed of 0.8c. the rocket fires a missile at a speed of 0.7c (the missile is aimed away from earth and leaves the rocket at 0.7c relative to the rocket). how fast is the missile moving relative to earth? select one:
a. 1.5c
b. a little less than 1.5c
c. a little over c
d. a little under c
e. 0.75c
To solve this problem, let us consider that the Earth is the origin, the initial reference point. Therefore the speed of rocket plus the missile would be 0.8 C
Now after the rocket had moved away from Earth, it fired a missile at a speed of 0.7 C. Now the reference made to this is relative to the rocket. We have established that our initial reference point is the Earth, therefore the real speed of the missile with reference to Earth is:
Speed of missile relative to Earth = 0.8 C + 0.7 C
Speed of missile relative to Earth = 1.5 C
Answer is:
A
What is the correct water depth for an echo travel time of 6 seconds? (for the purposes of this exercise, assume pressure and temperature effects on sound wave velocity are negligible.)?
Two manned satellites approaching one another at a relative speed of 0.450 m/s intend to dock. The first has a mass of 4.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.
The final relative velocity after an elastic collision between two satellites, where one has initially been at rest, would be reversed from the initial relative velocity. Therefore, the direction would slide from the first satellite towards the second, with the speed remaining at 0.450 m/s.
Explanation:In your question about the collision of two manned satellites, you're dealing with a physics problem related to the conservation of momentum in elastic collisions. The approach requires the understanding of the principle of conservation of momentum, which states that the total momentum of a system is conserved if there is no net external force acting on it.
In the case of two satellites approaching each other, the total momentum before the collision is represented by (m1 * v1) + (m2 * v2) = 0, with m1 and m2 as the masses of the satellites and v1 and v2 as their respective velocities. Given that the second satellite is initially at rest, v2 = 0. Because the collision is described as elastic, kinetic energy is also conserved. In an elastic collision, the relative velocity of the two objects after collision is the negative of the relative velocity before the collision. In this case, the final relative velocity would be -0.450 m/s, with the direction reversed (from the first satellite towards the second). Learn more about Elastic Collision here:https://brainly.com/question/33268757
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A solenoid having an inductance of 6.95 μh is connected in series with a 1.24 kω resistor. (a) if a 12.0 v battery is connected across the pair, how long will it take in seconds for the current through the resistor to reach 73.6% of its final value? (b) what is the current through the resistor at a time t = 1.00τl?
A river flows due south with a speed of 1.4 m/s . you steer a motorboat across the river; your velocity relative to the water is 4.7 m/s due east. the river is 660 m wide. part a what is the magnitude of your velocity relative to the earth? express your answer with the appropriate units.
Final answer:
The magnitude of your velocity relative to the Earth when steering a motorboat across a river with given velocities is 4.9 m/s, calculated using the Pythagorean theorem on the perpendicular vector components.
Explanation:
To calculate the magnitude of your velocity relative to the Earth as you steer a motorboat across a river, you need to consider the velocities in the southern and eastern directions as vectors. The velocity of the river is 1.4 m/s south, while the velocity of the boat relative to the water is 4.7 m/s east. Applying the Pythagorean theorem to these perpendicular vector components, we find the total velocity relative to the Earth by calculating the magnitude of the resultant vector:
Vtot = \\(v_x^2 + v_y^2\\)
Where Vx is 4.7 m/s (eastward component of boat velocity) and Vy is 1.4 m/s (southward component of river velocity).
Vtot = \\(4.7^2 + 1.4^2\\)^{0.5} = \\sqrt{22.09 + 1.96} = \\sqrt{24.05} = 4.9 m/s
The magnitude of your velocity relative to the Earth is 4.9 m/s.
He heating element of an electric dryer is rated at 4.1 kw when connected to a 240-v line. part a what is the current in the heating element? express your answer using two significant figures. i = a submitmy answersgive up part b is 12-gauge wire large enough to supply this current? is 12-gauge wire large enough to supply this current? yes no submitmy answersgive up part c what is the resistance of the dryer's heating element at its operating temperature? express your answer using two significant figures. r = ω submitmy answersgive up part d at 11 cents per kwh, how much does it cost per hour to operate the dryer? express your answer using two significant figures. cent
Part A. The formula relating electric power, voltage and current is:
P = I V
I = P / V
I = 4,100 W / 240 V
I = 17.08333 A
I = 17.08 A
Part B. The maximum amount of current an electrical wire can conduct is measure in terms of Ampacity. For a 12-gauge wire the Ampacity is greater than 20 A. Therefore the answer to this is “Yes”.
Part C. The formula for resistance is:
R = V / I
R = 240 V / 17.08 A
R = 14.05 Ω
Part D. The cost per hour is:
(11 cents / kwh) (4.1 kw) = 45.1 cents / hr
the idea that magma rises up at rift valleys and crust is being destroyed at trenches describes the theory of
Two cars, one in front of the other, are traveling down the highway at 25 m/s. the car behind sounds its horn, which has a frequency of 500 hz. what is the frequency heard by the driver of the lead car? (vsound = 340 m/s)
An object has a mass of 5 kg what force is needed to accelerate it at 6 m/s ?
Convective cooling cools rocks much more rapidly than heat conduction. hydrothermal circulation represents convective cooling at ocean ridges and is well known from things like black smokes, but only occurs close to the spreading ridge axis. when geophysicists measure the geothermal gradient in areas along ridges where there is no hydrothermal activity, the thermal gradient is far below what you would predict theoretically, but near hydrothermal vents it is far more than you would predict. why would this be?
A 230.0 kg bear grasping a vertical tree slides down at constant velocity. What is the friction force between the tree and the bear?
Which labels, if placed from left to right, best complete the timeline? Z, X, Y
Y, Z, W
W, X, Z
Y, Z, X
Answer:
The answer is A.
Explanation:
I took the test and got the answer.
A pipe in a manufacturing plant is transporting superheated vapor at a mass flow rate of 0.3 kg/s. the pipe is 10 m long, has an inner diameter of 5 cm and pipe wall thickness of 6 mm. the pipe has a thermal conductivity of 17 w/m·k, and the inner pipe surface is at a uniform temperature of 120°c. the temperature drop between the inlet and exit of the pipe is 7°c, and the constant pressure specific heat of vapor is 2190 j/kg·°c. if the air temperature in the manufacturing plant is 25°c, determine the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air.
Without additional information or context regarding the rate of heat transfer or the properties of the fluid flow over the pipe, the heat transfer coefficient cannot be calculated directly from the information provided. Typically, empirical correlations based on experimental data or known flow conditions would be necessary to estimate this coefficient.
Explanation:To calculate the heat transfer coefficient as a result of convection between the outer pipe surface and the surrounding air, we'd typically use the convection heat transfer equation:
Q = hAΔT
Where Q is the heat transfer rate, h is the heat transfer coefficient, A is the area of the pipe exposed to convection, and ΔT is the temperature difference between the surface and the air. However, additional information is needed to proceed with the calculation, such as the heat transfer rate from the pipe to the air or the convective heat transfer properties of the fluid surrounding the pipe.
In the case provided, without further context or information regarding the rate of heat transfer or properties of the flow over the pipe, the heat transfer coefficient (h) cannot be calculated directly. Usually, in such scenarios, experimental data or empirical correlations are used to estimate the heat transfer coefficient based on the flow conditions (e.g., Reynolds number, Prandtl number).
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Which of the following scenarios will cause the current to stop flowing within a circuit?
A. Insulating materials within the circuit are replaced with conducting materials.
B. A wire connected to the voltage source runs from the negative to the positive terminal.
C. The switch within the closed circuit is opened.
D. The circuit is closed.
Which part of a stream's sediment load moves the slowest?
A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.
What is the acceleration of this helicopter?
its 2 meters per sec
A push or a pull is called _____.
A) work
B) a scalar
C) a force
D) velocity
A push or a pull is called a 'force' in physics. This force can make an object change its velocity, such as starting to move, stopping, or changing its direction.
Explanation:In the field of physics, a push or a pull is referred to as a force. Option C is the correct answer to your question. Forces cause an object to change its velocity, meaning it can start moving, stop moving, or change its direction based on this influence. For example, if you push a stationary bike, it starts to move - that's an illustration of a force at work. Even gravity is a type of force that pulls objects towards the Earth's surface.
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Where in the ocean does oceanic lithosphere sink into the mantle? answer?
A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down if the radius of the loop is
If he throws the ball (with mass 0.07 kg) with a speed of 28 m/s and there is no air resistance, how high does the ball go?
What is the relationship between current and voltage in the filament of an incandescent light bulb?
The coriolis effect ________. keeps earth from spinning too fast is caused by the moon results in ice and dark at the poles in winter keeps the wind circulating at constant speed around the planet is caused by earth's rotational forces
Roughly what percent of the earth can see a lunar eclipse at one time?
During a lunar eclipse, the half of the planet that is in night mode can see it, because during that type of an eclipse, the earth gets in between the sun and the moon and the reason the moon turns red is because earth's atmosphere bends some light and that light hits the moon.
So roughly, 50% percent of the earth can see a lunar eclipse at one time.
To add, the lunar eclipse is an astronomical phenomenon and happens about two times per year, and a large portion of the Earth can see this type of eclipse, compared to solar eclipses.
Around 75% of the Earth can see a lunar eclipse at any given time due to the duration of the event and the rotation of the Earth.
Roughly 75% of the Earth can see a lunar eclipse at one time. During a lunar eclipse, Earth's shadow covers the entire Moon, and because the event lasts several hours, more people can observe the eclipse as the Earth rotates. In comparison to a solar eclipse, which is visible in a very narrow path on Earth, a lunar eclipse is observable from anywhere on the night side of the Earth. Since the eclipse takes about 5-6 hours from start to finish, different regions come into view of the eclipse over time, allowing for broad visibility.
When i stand halfway between two speakers, with one on my left and one on my right, a musical note from the speakers gives me constructive interference. how far to my left should i move to obtain destructive interference?
Final answer:
To obtain destructive interference between the two speakers, you need to move to a point where the path length difference is equal to half of the wavelength of the musical note.
Explanation:
In order to obtain destructive interference between the two speakers, you would need to move to a point where the path length difference between the two speakers is equal to half of the wavelength of the musical note. This position is known as an antinode. Since the sound waves are in phase when you are standing halfway between the speakers, the path length difference would be equal to one wavelength. So to find the point where destructive interference occurs, you would need to move to a point where the path length difference is half of one wavelength. This means moving to the left by a distance equal to half of the wavelength."the mass of mars, 6.40 × 1023 kg, is about one-tenth that of the earth, and its radius, 3395 km, is about half that of earth. what is the mean density of mars in kg/m3? "
A potter's wheel decelerates from 50 rev/min to 30 rev/min in 5.0 s, with a constant deceleration. what is the magnitude of the deceleration?
The magnitude of the deceleration of the potter's wheel is 0.419 rad/s².
Explanation:To find the magnitude of the deceleration of the potter's wheel, we can use the formula for angular acceleration: a = (ωf - ωi) / t. Given that ωi (initial angular velocity) is 50 rev/min, ωf (final angular velocity) is 30 rev/min, and t (time) is 5.0 s, we can calculate the magnitude of deceleration as follows:
a = ((30 rev/min) - (50 rev/min)) / (5.0 s) = -4 rev/min²
Since 1 rev/min is equal to 0.1047 rad/s, we can convert the magnitude of deceleration to rad/s²:
a = (-4 rev/min²) * (0.1047 rad/s / 1 rev/min) = -0.419 rad/s²
Therefore, the magnitude of the deceleration is 0.419 rad/s².
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Dielectric materials used in the manufacture of capacitors are characterized by conductivities that are small but not zero. therefore, a charged capacitor slowly loses its charge by "leaking" across the dielectric. if a certain capacitor leaks charge such that the potential difference decreases to one third its initial value in 5.60 s, what is the equivalent resistance of the dielectric? round your answer to three significant figures.
To find the equivalent resistance of the dielectric material in the capacitor, we can use the formula for the charging or discharging of a capacitor through a resistor.
V(t) = V_0 * e^(-t / RC) , where:
V(t) is the potential difference across the capacitor at time t,
V_0 is the initial potential difference across the capacitor,
e is the base of the natural logarithm (approximately 2.71828),
t is the time elapsed (in seconds),
R is the equivalent resistance of the dielectric (in ohms), and
C is the capacitance of the capacitor (in farads).
We are given that the potential difference decreases to one-third (1/3) of its initial value, which means V(t) = (1/3) * V_0 at time t = 5.60 s.
Now, we can rewrite the equation as:
(1/3) * V_0 = V_0 * e^(-5.60 / RC)
Next, we can cancel V_0 from both sides of the equation:
(1/3) = e^(-5.60 / RC)
To find the value of RC, we can take the natural logarithm of both sides:
ln(1/3) = ln(e^(-5.60 / RC))
ln(1/3) = -5.60 / RC
Now, we can solve for RC:
RC = -5.60 / ln(1/3)
RC ≈ 10.27
Finally, we can find the equivalent resistance by dividing RC by the capacitance (C) of the capacitor. Since we do not have the value of C, we cannot provide a specific value for Resistance. However, if you have the capacitance value (in farads), you can calculate the equivalent resistance using the equation R_eq = RC / C. Make sure to use the appropriate units for capacitance (farads) and time (seconds) to get the correct answer in ohms. Round your final answer to three significant figures as requested.
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When a perfume bottle is opened, some liquid changes to gas and the fragrance spreads around the room. Which sentence explain this?
Diffusion is the process by which perfume molecules spread out in the room after a bottle is opened.
Diffusion is the process by which molecules move from an area of high concentration to an area of low concentration until equilibrium is reached. When a perfume bottle is opened, the liquid evaporates, and the fragrance molecules spread out through the room via diffusion, explaining how the scent permeates the entire space.