For a photon with wavelength 11. 0 nm, the side length LL of the box is mathematically given as
L=1.414*10^{-27}m
What is the side length LL of the box?Generally, the equation for the change in energy is mathematically given as
[tex]dE=\frac{hc}{\lambda}[/tex]
Therefore
[tex]\frac{hc}{\lambda}=\frac{6h^2}{8ml}\\\\L=\sqrt{6h\lambda}{8mc}\\\\L=\sqrt{\frac{6(6.626*10^{-34})*11.0*10^{-9}}{8(9.11*10^31)(3*10^8)}}[/tex]
L=1.414*10^{-27}m
In conclusion, the side length LL of the box is
L=1.414*10^{-27}m
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The side length of the box for a photon of wavelength 11. 0 nm will be [tex]\rm L = 1.414 \times 10^{-27}[/tex] m.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The change in the energy of the photon is found as;
[tex]\rm dE = \frac{hc}{\lambda} \\\\ \frac{hc}{\lambda} =\frac{6h^2}{8ml} \\\\ L= \sqrt{\frac{6h\lambda}{8mc} } \\\\ L = \sqrt{\frac{6 \times 6.626 \times 10^{-34}\times 11 \times 10^{-9}}{8 \times 9.11 \times 10^{31} \times 3 \times10^8} } \\\\ L= 1.414 \times 10^{-27} \ m[/tex]
Hence the side length of the box for a photon of wavelength 11. 0 nm will be [tex]\rm L = 1.414 \times 10^{-27}[/tex] m.
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The interior of a refrigerator has a surface area of 2. 6 m2. It is insulated by a 4. 5 cm thick material that has a thermal conductivity of 0. 0098 J/m · s · ◦ C. The ratio of the heat extracted from the interior to the work done by the motor is 4. 4% of the theoretical maximum. The temperature of the room is 37. 7 ◦C, and the temperature inside the refrigerator is 3. 7 ◦C
For an interior of a refrigerator has a surface area of 2. 6 m2, The power is is mathematically given as
P= 71.56W
What is the power?Generally, the equation for the Fourier's law is mathematically given as
H = ∆Q/∆t = k∙A∙∆T/∆x
Therefore
H= 0.0112* 4.2 *(33.3 - 6.8) / 0.022m
H= 58.18J/s
For The coefficient of performance(COP)
COP = Q/W = H/P
Therefore
COP = 279.95K/(306.45K - 279.95K)
COP = 10.564
In conclusion
P = H/COP
P= 58.18W / 0.813
P= 71.56W
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If there were no external forces acting on the two pucks, their complex motion could be described as the combination of the uniform linear motion of the center of mass and a uniform circular motion of the pucks about the center of mass. Describe how well your results agree with this expectation, and explain any deviations that you observe from the predicted behavior
The absence of external forces will make the pucks move in the form of a uniform circular motion.
What is a circular motion?It should be noted that a circular motion simply means the movement of an object along the circumference of the circle.
In this case, the absence of external forces will make the pucks move in the form of a uniform circular motion.
If the friction is absent, the pucks will continue to move on the same path due to the first law of Newton and the law of conversation of energy. In this case,the results will match the predictions until there's loss in energy.
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According to the inverse square law, the force due to gravity between two masses will _____________.
Answer:
The inverse square law proposed by Newton suggests that the force of gravity acting between any two objects is inversely proportional to the square of the separation distance between the object's centers.
Explanation:
Which property of the water molecule causes two water molecules to be attracted to each other? (2 points)
Polar bonds between H and O atoms
Ionic bonding between water molecules
Hydrogen bonds between H atoms
Ionic bonding between O atoms
Answer:
hydrogen bonding between H atoms.
Explanation:
Today, you will use the Magnetic Fields Simulation to collect more reliable data about the two
variables that were tested on the eliminated cards: the number of wire coils on the electromagnet
and the distance between the car and launcher.
1. How does the number of wire coils on an electromagnet affect the strength of magnetic force?
Describe how you will set up tests with isolated variables in the Sim to answer this question.
What will you change?
What will you keep the same?
What will you measure?
The current flowing in the wires will be kept constant while the number of turns of the wires will be changed, then you will measure the strength of the magnetic force.
Strength of the magnetic force
The strength of the magnetic force depends on the number of the turns of the wire and the amount of current flowing in the wires in a given magnetic field.
The relationship between the magnetic force and the number of wire coils on an electromagnet is given as;
F = I x N
where;
I is the current in the wire N is the number of turnsThus, the current flowing in the wires will be kept constant while the number of turns of the wires will be changed, then you will measure the strength of the magnetic force.
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With upward speeds of 12.5 m/s, the elevators in the Yokohama Landmark Tower in Yokohama, Japan, are among the fastest elevators in the world. Suppose a passenger with a mass of 70.0 kg enters one of these elevators. The elevator then goes up, reaching full speed in 4.00 s. Calculate the net force that is applied to the passenger during the elevator's acceleration.
The net force that is applied to the passenger during the elevator acceleration is 218.75 N.
What is net force?This is the single force obtained from the combinatiion of two or more forces
To calculate the net force that is applied to the passenger during the elevator's acceleration, we use the formula below.
Formula:
F = m(v-u)/t............ Equation 1Where:
F = forcem = massv = Final velocityu = initial velocityt = time.From the question,
Given:
m = 70 kgu = 0 m/sv = 12.5 m/st = 4 sSubstitute these values into equation 1
F = 70(12.5-0)/4F = 218.75 NHence, The net force that is applied to the passenger during the elevator acceleration is 218.75 N.
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When a 10-V battery is connected to a resistor, the current in the resistor is 2 A. What is the resistor's value
Answer:
5 ohms
Explanation:
V = IR
10 = 2 R
R = 5
The three fundamental colors of visible light are red, green and blue. Why does a yellow T-shirt appear yellow to you
This one is leisure for people with common sense. Yellow is an assortment of two of the rudimentary colors, red and green. Yellow appears yellow because red light is being imaged in our eyes, so that's one thing. Green reflections are capable of being enthralled by the shirt; hopefully, this should be meticulous adequate for you to have a basic understanding of this "phenomenon". Cheers!
A yellow T-shirt appear yellow to human eye because it reflects both red and green lights and our eye detects it as a combination of two fundamental colors (red and green), which is yellow.
What is color?Color is a perception. Our eyes sense something (the sky, for instance), and information is transferred from our eyes to our brains informing us that it is a particular color (blue). Different combinations of wavelengths of light are reflected by objects. When our brains detect certain wavelength combinations, they transform them into the phenomena known as color.
There has three fundamental color: red, blue and green. Red and green lights are combined to create yellow light. If a shirt reflects both red and green light, it appears yellow to human eyes. These two fundamental colors of light must be present in the incident light for red and green light to reflect yellow light to human mind.
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From left, a large candle A, a point C, a small candle B, a double convex lens D. A line passes below the base of the A and B, through C, and through the center of D. An eye looks left and up from below the line to the right of the lens. Dotted lines pass from the top of the large candle to the dotted center of the lens. Solid lines pass from the top of the small candle to the dotted centerline of the lens and then turn and pass down and right to the eye. Refer to the diagram to the left and use the drop-down menus to identify the parts of a magnifying glass. Label A: Label B: Label C:
Answer:
Label A: Virtual Image
Label B: Object
Label C: Focal point
Explanation:
Label A: Virtual Image
Label B: Object
Label C: Focal point
What is an eye ?The visual system's organs include the eyes. They provide living things the ability to see, to take in and interpret visual information, and to perform a number of photoresponse activities that are not dependent on vision. Light is detected by the eyes, which transform it into electro-chemical impulses in neurons. In higher organisms, the eye is a sophisticated optical system that gathers light from the environment, controls its intensity through a diaphragm, focuses it through an adjustable arrangement of lenses to form an image, transforms this image into a series of electrical signals, and sends these signals to the brain via intricate neural pathways that connect the eye via the optic nerve to the visual cortex and other regions of the brain. The ability of resolving eyes has arrived.
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The following equation illustrates the chemical reaction that occurs in a plant.
water + carbon dioxide + light energy → sugar + oxygen
Based on the law of conservation of energy, what happened to the light energy in the reaction?
A. It was produced by the plant.
B. It was changed into oxygen gas.
C. It was destroyed during the chemical reaction.
D. It was converted into chemical energy stored in the sugar.
Answer:
option d
it was converted into chemical energy stored in the sugar
Answer:
D. It was converted into chemical energy stored in the sugar.
Explanation:
A. It was produced by the plant. This is false because light energy is a reactant and not a product formed by the plant.
B. It was changed into oxygen gas. This is false because light energy could not be transformed to oxygen gas by any chemical means. Instead, carbon dioxide leads to oxygen being produced by the plant.
C. It was destroyed during the chemical reaction. This is false, it cannot be destroyed during the chemical reaction. Instead, it was used up and converted into chemical energy stored in the sugar.
D. It was converted into chemical energy stored in the sugar. This is true.
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If an electron is released at the equator and falls toward earth under the influence of gravity, the magnetic force on the electron will be toward the
To measure a population’s baseline genetic state, it must have _____________ to be in hardy-weinberg equilibrium
Answer:
b
Explanation:
b
help me with this plsssssssssssssss
Answer:
D
Explanation:
The digestive system does all of these functions
the stomach and small intestine breaks down foodthe small intestine absorbs nutrientsthe large intestine eliminates wasteall these components (and more) make up the digestive system.
if you are unsure, visit bbc bitesize for more information.
What can be inferred when an atom is electrically charged?
When an atom becomes electrically charged the number of electrons or protons stops and they are not equal again. The "extra" electron or proton is not balanced by something inside the atom any longer and it starts attracting itself to othet protons or electrons in other atoms.
What is atomic structure?An atomic structure comprises of positively charged nucleus which is surrounded by negatively charged particles called electron and neutron which is neutral charged.
Unlike charges attract each other while like charges repel each other.
Therefore, When an electron is fully charged, the number of electrons will stop to be unequal again.
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The objects shown in the following diagrams have different masses and are different distances apart. Which diagram shows the two objects that have the greatest force of gravity acting between them?
Answer:
C. 10kg to 10kg
Explanation:
You have to picture to it I think
To predict whether a star will ultimately become a black hole, what is the key property of the star we should look at?.
A star will ultimately become a black hole when it collapses due to end of fuel.
Which star becomes a black hole?When a star burns through the last of its fuel, the object may collapse, or fall into itself. For smaller stars which are about three times the sun's mass, the new core will become a white dwarf but when a larger star collapses, it turns into a black hole.
So we can can conclude that a star will ultimately become a black hole when it collapses due to end of fuel.
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An object when placed in front of convex lens forms a real image of 0.5 magnification. If the distance of the image from the lens is 24 cm, Calculate Focal Length of Lens.
[tex] \text{u =?} \\ \text{ v = 24cm} \\ \text{ m = 0.5} \\ \text{ f = ?}[/tex]
[tex] \implies \text{m} = \frac{ \text{v}}{ \text{u}} = \frac{24}{ \text{u}} [/tex]
[tex] \implies 0.5 = \frac{1}{2} = \frac{24}{ \text{u}} \\ \\ \therefore \text{u} = 48 \text{cm}[/tex]
[tex] \implies \frac{1}{ \text{f}} = \frac{1}{ \text{v}} - \frac{1}{ \text{u}} [/tex]
[tex] \implies \text{f} = \frac{1}{24} - \frac{1}{48} = \frac{2 - 1}{48} = \frac{1}{48} [/tex]
[tex] \text{f} = 48 \text{cm}[/tex]
[tex]\underline{ \text {According To Question,}}[/tex]
[tex] \text{24cm is the distance of object from lens,}[/tex]
[tex] \text{m} = \frac{ \text{v}}{ \text{u}} \\ \\ \implies \frac{1}{2} = \frac{ \text{u}}{24} [/tex]
[tex] \therefore \text{v} = \frac{24}{2} = 12 \text{cm}[/tex]
[tex] \implies \frac{1}{ \text{f}} = \frac{1}{ \text{v}} - \frac{1}{ \text{u}} [/tex]
[tex] \implies \frac{1}{ \text{f}} = \frac{1}{12} - ( \frac{1}{ - 24} )[/tex]
[tex] \implies \frac{1}{ \text{f}} = \frac{1}{12} + \frac{1}{24} = \frac{2 + 1}{24} = \frac{3}{24} [/tex]
[tex] \implies \text{f} = \frac{24}{3} = 8 \text{cm}[/tex]
Hope this helpsThe rotational inertia of a sphere of mass m and radius r about a diameter is 25mr2. The rotational inertia about an axis tangent to the sphere is
The rotational inertia about an axis tangent to the sphere of the given mass and radius is ⁷/₅MR².
Parallel axis theoremAccording to parallel axis theorem, the moment of inertia of a body about any axis is equal to the sum of the product of its mass and the square of the distance between the two parallel axis and the moment of inertia of the body about a parallel axis passing through its centre of mass.
The moment of inertia of the sphere about its parallel axis passing through its centre of mass = ²/₅MR²
The product of its mass and the square of the distance between the two parallel axis = MR²
Rotational inertia about an axis tangent to the sphereMoment of inertia about an axis tangent to the sphere = MR² + ²/₅MR²
= ⁷/₅MR²
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The rotational inertia of a sphere of given mass and radius along a tangent axis is [tex]\rm \frac{7}{5} MR^2[/tex].
What is a moment of inertia?The sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation expresses a body's tendency to resist angular acceleration.
The given data in the problem is;
M is the sphere's mass.
R is the radius of a sphere
According to the parallel axis theorem,The rotational inertia of a sphere of given mass and radius along a tangent axis is found as;
[tex]\rm I=MR^2+\frac{2}{5} MR^2 \\\\ I=\frac{7}{5} MR^2[/tex]
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Infrared, ultraviolet and visible light are all part of the electromagnetic spectrum. The basic difference between them is their.
Answer:
The basic difference is wavelength (frequency)
ultraviolet < visible < infrared where the visible spectrum lies at
4000 - 7000 Angstroms = 400 - 700 millimicrons (10^-9 meters)
Tjhe shorter wavelengths (ultraviolet) carry more energy / photon
My Noacid performs a physics lab to determine the speed of sound inside a tube. She blocks off one end of the 120. 0 cm tube with a book and places a microphone at the other end. When she snaps her finger she determines the time for the sound to get back to the microphone is. 00695 s. What was the speed of sound that day
The speed of sound inside a tube when she snapped her finger is determined as 345.32 m/s.
Speed of the sound
The speed of the sound wave can be determined by applying echo formula as shown below;
v = 2d/t
where;
d is the distance traveled by the sound wave = 120 cm = 1.2 mt is the time when the sound wave was heard = 0.00695 sSubstitute the given parameters and solve for speed.
v = (2 x 1.2)/(0.00695
v = 345.32 m/s
Thus, the speed of sound inside a tube when she snapped her finger is determined as 345.32 m/s.
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Two solenoids have the same cross-sectional area and length, but the first one has twice as many turns per unit length as the second. The ratio of the self-inductance of the second solenoid to that of the first is.
Answer:
2:1
Explanation:
The vertebral region is _________ to the scapular region.
Answer:
The answer is medial!
Explanation:
The vertebral region is medial to the scapula.
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how do greenhouse gases affect global temperatures
Answer:
Less heat radiates into space, and Earth is warmer
The speed of sound in a guitar string is 430 m/s. for the musical note b, the frequency of the string when plucked is 246.94 hz.
Based on the speed and frequency, the wavelength of sound in the guitar is 1.74 m
What is the relationship between speed, frequency and wavelength of sound?The speed of sound in a medium is the distance in metres it covers per second.
The frequency of sound is the number of complete oscillations per second.
The wavelength of sound is the distance between adjacent identical parts of the sound.
The relationship between speed, frequency and wavelength of sound is given below:
wavelength = speed/frequencyThe wavelength of sound in the guitar will be:
wavelength = 430/246.94
wavelength = 1.74 m
Therefore, the wavelength of sound in the guitar is 1.74 m
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When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. Sometimes these wave
interact to make nodes and antinodes. What are these kinds of waves called? (1 point)
A.) Superposition waves
B.) Frequency waves
C.) Electromagnet waves
D.) Standing Waves
When the string on a violin vibrates, waves move in both directions along the string, interfering with each other. These waves are standing waves (Option D).
What are Standing Waves?The Standing Waves are waves generated due to the vibrational frequency that produces reflected waves capable of interfering with the incident waves.
Standing Waves generates a pattern of waves that form a standing still, it is for that reason of the name.
The nodes and antinodes of the standing waves are found elsewhere in the medium where waves form.
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Answer:
Standing waves
Explanation:
Ring of mass straight m and radius straight r is attached to the end of a thin rod of mass straight m and radius 2 straight r
The total moment of inertia about an axis is : [tex]L^{2} ( \frac{M}{3} + m ) + \frac{2mr^2}{5}[/tex] for a ring of mass m and radius straight r attached to a thin rod.
Determine the Total moment of Inertia about an axisGiven data:
mass of ring --> m
radius of ring --> r
mass of rod --> M
Length of rod ---> L ( 2 * radius )
Total Moment of Inertia about an axis = Irod + Iring
where : Irod = moment of inertia of rod, Iring = moment of inertia of ring
Irod = ML² / 3
Iring = 2mr² / 5
moment of inertia around an axis by Iring = I
where ; I = 2mr² / 5 + ML² according to parallel axis theorem
Hence the Total moment of Inertia about an axis is :
Itotal = 2mr²/5 + ML² + ML² / 3
= [tex]L^{2} ( \frac{M}{3} + m ) + \frac{2mr^2}{5}[/tex]
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For a ring of mass m and radius straight r connected to a thin rod, the total moment of inertia about an axis is [tex]\rm I= L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex].
What is a moment of inertia?The sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation expresses a body's tendency to resist angular acceleration.
The given data in the problem is;
m is the ring's mass.
r is the radius of a ring.
L is the rod length = 2r
The total Moment of Inertia about an axis;
[tex]\rm I = I_{rod}+I_{ring} \\\\ \rm I =\frac{ML^2}{3} +\frac{2mr^2}{5}[/tex]
According to the parallel axis theorem,
[tex]\rm I = \frac{2mr^2}{5} + ML^2[/tex]
The total Moment of Inertia about an axis will be;
[tex]\rm I_{total} = \frac{ML^2}{3} +\frac{2mr^2}{5}+ML^2 \\\\ \rm I_{total} =L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex]
Hence for a ring of mass m and radius straight r connected to a thin rod, the total moment of inertia about an axis is [tex]\rm I= L^2 (\frac{M}{3} +m)+\frac{2mr^2}{5}[/tex].
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Where are globular clusters located in the milky way?.
Answer:
Globular star clusters are located in the great spherical halo.
Explanation:
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Please Help Me!
A boy holds a toy soldier in from of a concave mirror. The focal length of the mirror is 0.45 m and the boy holds the toy soldier at a distance of 0.25m from the mirror. Find the image distance.
The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.
What is image distance?This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.
To calculate the image distance, we use the formula below.
Formula:
1/f = 1/u+1/v........... Equation 1Where:
f = Focal length of the mirrorv = Image distanceu = object distanceFrom the question,
Given:
f = 0.45 mu = 0.25 mSubstitute these values into equation 1 and solve for the image distance
1/0.45 = 1/0.25 + 1/v2.22 = 4+1/v1/v = 2.22-41/v = -1.78v = 1/(-1.78)v = -0.56 mHence, The image distance is -0.56 m.
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An object rotates with an angular speed that varies with time, as shown in the graph. How can the graph be used to determine the magnitude of the angular acceleration α of the object? Justify your selection.
Subtract the greatest value of the angular speed from the smallest value of the angular speed, because α=Δω.
Subtract the greatest value of the angular speed from the smallest value of the angular speed, because a equals delta omega .
Determine the slope of the line from 0s to 2s, because the slope represents ΔωΔt.
Determine the slope of the line from 0 second to 2 seconds , because the slope represents the fraction delta omega over delta t .
Determine the area bounded by the line and the horizontal axis from 0s to 2s, because α=12ωΔt.
Determine the area bounded by the line and the horizontal axis from 0 second to 2 seconds , because alpha equals one half omega delta t .
The angular acceleration cannot be determined without knowing the rotational inertia of the object.
We can find it up angular velocity with respect to time graph .
As
[tex]\\ \rm\Rrightarrow m=\dfrac{\Delta \omega}{\delta T}[/tex]
[tex]\\ \rm\Rrightarrow \alpha=\dfrac{\Delta \omega}{\delta T}[/tex]
So we get
[tex]\\ \rm\Rrightarrow m=\alpha[/tex]
We need the slope in order to find angular acceleration
We can determine the angular acceleration of the object by taking the slope of the line in the plot of angular speed versus time because the change in linear here.
What is angular acceleration ?The angular acceleration of an object is the measure of its rate of change in angular speed. Like the velocity, it a vector quantity and is characterized by a magnitude and direction.
The acceleration is the ratio of change in velocity to the time interval. From the graph of speed of an object versus the time taken, we can obtain the acceleration.
For a linear relation between the two quantities, the slope gives their ratio. Therefore, here, the slop of the line from 0 to 2 seconds represents the fraction delta omega over delta t. Hence, option D is correct.
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The water was used to power a generator, creating _______________ energy
Answer:
electric
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