The wavelength λ of light in glass, if its wavelength in air is λ0, its speed in air is c, and its speed in the glass is v will be
[tex]\lambda=\dfrac{v}{c}\lambda_o[/tex]
What is wavelength?
The wavelength of any wave is defined as the distance between two max adjacent amplitudes, or the distance between two successive troughs or crest.
When an electromagnetic wave moves from a medium to another medium, its frequency remains constant. In this problem, we have light (which is an electromagnetic wave) moving from air to glass (or vice-versa), so we can write
[tex]f_o=f(1)[/tex] (1)
where is the frequency of the light in air, while f is the frequency in glass.
Using the relationship between frequency, wavelenght and speed of a wave, we have
[tex]f=\dfrac{v}{\lambda}[/tex]
where v is the speed of light in glass and the wavelength in glass, and
[tex]f_o=\dfrac{c}{\lambda_o}[/tex]
where c is the speed of light in air and the wavelength in air. Using these two relationships, we can rewrite eq.(1) as
[tex]\dfrac{c}{\lambda_o}=\dfrac{v}{\lambda}[/tex]
and by re-arranging it, we find
[tex]\lambda=\dfrac{v}{c} \lambda_o[/tex]
Hence the wavelength λ of light in glass, if its wavelength in air is λ0, its speed in air is c, and its speed in the glass is v will be
[tex]\lambda=\dfrac{v}{c}\lambda_o[/tex]
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What's the pressure and temp of 6694 meters high
How many new elements (fission fragments, or daughter nuclei) are typically presented as a result of fission?
1
3
2
5
PLEASE PLEASE HELP!?!?!!?
What is gravity? Gravity is the force (2 points) Select one: a. of attraction between two objects; it is not related to the object's mass. b. of attraction between two objects; it is related to the object's mass. c. that acts on objects when they are pushed d. that repels objects that have like charges
The most common natural fiber found at a crime scene, and thus forensically insignificant (unless it is of a unique color)
Organ pipe a, with both ends open, has a fundamental frequency of 340 hz. the third harmonic of organ pipe b, with one end open, has the same frequency as the second harmonic of pipe
a. how long are (a) pipe a and (b) pipe b? (take the speed of sound to be 343 m/s.)
What is the approximate wavelength of a light whose first-order bright band forms a diffraction angle of 45.0° when it passes
which formula represents Snell's law
Snell's law is used for refraction of light
it is used to find the relation between refractive index of two medium and angle of incidence and angle of refraction.
As per this formula
[tex]n_1 sin\theta_i = n_2 sin\theta_r[/tex]
here [tex]n_1[/tex] = refractive index of first medium
[tex]n_2[/tex] = refractive index of second medium where light go after refraction
[tex]\theta_i[/tex] = angle of incidence
[tex]\theta_r[/tex] = angle of refraction
which step makes proteins by binding amino acids together
If the building absorbed so much heat that it turned into a liquid, then it would have undergone a phase change known as _____.
freezing
vaporizing
condensing
melting
Answer:
Melting
Explanation:
If the building absorbed so much heat that it turned into a liquid, then it would have undergone a phase change known as:
freezing. NO. Freezing is the process in which a liquid turns into a solid.vaporizing. NO. Vaporizing is the process in which a liquid turns into a gas.condensing. NO. Condensing is the process in which a gas turns into a liquid.melting. YES. Melting is the process in which a solid turns into a liquid.Two long parallel wires carry currents of 20 a and 5.0 a in opposite directions. the wires are separated by 0.20 m. what is the magnitude of the magnetic field midway between the two wires?
The magnitude of the magnetic field midway between two long parallel wires carrying currents of 20 A and 5.0 A in opposite directions and separated by 0.20 m is 4.5 x 10⁻⁵ T.
Explanation:To find the magnitude of the magnetic field midway between the two long parallel wires carrying currents of 20 A and 5.0 A in opposite directions and separated by 0.20 m, we can use the formula for the magnetic field due to a long straight wire. The magnitude of the magnetic field at a distance r from the wire is given by: B = (μ₀ * I) / (2π * r). Since we are looking for the magnetic field midway between the wires, the distance from each wire to the point is half of the total separation, which is 0.10 m. Plugging in the values, we get: B = (4π * 10⁻⁷ T·m/A * (20 A + 5.0 A)) / (2π * 0.10 m) = 4.5 x 10⁻⁵ T.
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The magnitude of the magnetic field midway between two parallel wires carrying currents of 20 A and 5 A in opposite directions and separated by 0.20 m is 3 * 10^-6 T.
Explanation:To find the magnitude of the magnetic field midway between the two wires, we can use the formula for the magnetic field produced by a long straight wire:
B = (μ0 * I) / (2πr)
where B is the magnetic field, μ0 is the permeability of free space, I is the current, and r is the distance from the wire. In this case, we have two wires with currents of 20 A and 5 A, and they are separated by 0.20 m. Since we are interested in the magnetic field midway between the wires, the distance r will be half of the separation between the wires, which is 0.20 m / 2 = 0.10 m.
Plugging in the values, we get:
B = (4π * 10-7 T·m/A * (20 A - 5 A)) / (2π * 0.10 m) = (4 * 10-7 T·m/A * 15 A) / (0.20 m) = 3 * 10-6 T
So, the magnitude of the magnetic field midway between the two wires is 3 * 10-6 T.
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At what speed does the classical momentum, p=mv, give an error, when compared with the relativistic momentum, of 1.35 % ?
To calculate the speed at which the classical momentum gives an error compared to the relativistic momentum, we need to find the ratio of the two different momenta. This can be done by solving for the velocity using the given equations and approximations.
Explanation:The classical momentum, p=mv, gives an error when compared with the relativistic momentum. The error can be calculated by finding the ratio of the relativistic momentum to the classical momentum. In this case, the error is 1.35%. To find the velocity at which this error occurs, we need to solve for the velocity using the given equations and approximations.
(a) Find the momentum of a 1.00 × 10⁹ kg asteroid heading towards the Earth at 30.0 km/s.
(b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that y = 1+(1/2)v²/c² at low velocities.)
An automotive research facility is testing a new design on bumpers to determine the force at which it will break. The formula for Force is F = 1 2 m v 2 Where m is the mass (weight) and v is the velocity (speed)What is the effect on the force if the velocity changes from 5 miles per hour to 10 miles per hour?
What is the effect on the force if the velocity changes from 5 miles per hour to 10 miles per hour?
Same
Twice as much
Four times as much
Five times as much
Three 1.2 ohm lamps are connected in series and connected to a 3 volt battery. Calculate the total current in the circuit
Which lists the amplitudes of sound waves from these sources in order from greatest to least?
busy roadway, kids whispering, average home
chainsaw, diesel truck, rustling leaves
kids whispering, vacuum cleaner, jet airplane
library, conversational speech, music from speaker
The correct answer is option B which is a chainsaw, diesel truck, rustling leaves.
Explanation:The amplitude of the sound wave is the maximum displacement of the particles from their resting position.Higher the amplitude means high sound.So the sound of a chainsaw is high, so its amplitude will be great and after that the amplitude of diesel truck is high and rustling leaves have the lowest amplitude.Answer:
B
Explanation:
Edge :)
What is the resistance of a resistor if the potential differences across the resistor is 4v when a cirrent of 10 a flow through the resistor?
Name each type of symbiosis and explain how the two species are affected
Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. You have determined that the football would travel 15.1 m before landing. How would this value change if the football was kicked at an angle of 35.0°?Complete all equations without rounding and then round to the nearest tenth at the end.
Answer:
If the football is kicked at a 35.0º angle, it will travel 18.5 m before landing. This is farther than if it were kicked at a 25° angle.
Explanation:
what it says on edge
Place the notebook on a table, and push it a few inches with your finger. When it moves, it has kinetic energy. Which kind of force opposed the motion of the notebook?
Answer:
The force of friction opposed the motion of the notebook.
Explanation:
Plato answer
When ultraviolet light with a wavelength of 400 nm falls on a certain metal surface, the maximum kinetic energy of the emitted photoelectrons is measured to be 1.10 ev . part a what is the maximum kinetic energy of the photoelectrons when light of wavelength 295 nm falls on the same surface? emax =?
Many __________ cause poor pupil function more quickly than alcohol does.
A. Pain relievers
B. Antihistamines
C. Tranquilizers
D. Benzodiazepines
Answer:
B. Antihistamines
Explanation:
Whenever you have an allergy, your body creates a chemical called histamines. For a short term treatment against there allergies, you can take antihistamines. However, among the side effects of this treatment is poor pupil function.
So the correct answer is:
B. Antihistamines
Light of wavelength 600 nm illuminates a diffraction grating. the second-order maximum is at angle 39.5 ∘. part a how many lines per millimeter does this grating have?
The number of lines per millimeter that the grating has is : ≈ 530 lines
Given data :
light wavelength = 600 nm
second order maximum angle ( x ) = 39.5°
order of maximum = 2
Determine the number of lines the grating will haveWe will apply diffraction equation
[tex]d*sinx = m*wavelength[/tex] --- ( 1 )
where : d = spacing of lines, x = 39.5°, m = 2
Insert values into equation ( 1 ) above
d * Sin ( 39.5 ) = 2 * 600 * 10⁻⁹
therefore ; d = 1.88656 * 10⁻⁶ m
Final step : determine the number of lines per mm
Number of lines per mm
= 0.001 / d
= 0.001 / (1.88656 * 10⁻⁶ ) ≈ 530 lines
Hence we can conclude that The number of lines per millimeter that the grating has is ≈ 530 lines
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The intensity of the sun's radiation incident upon the earth is about i=1.4kw/m2. suppose this is the value for the intensity of sunlight incident upon the satellite's solar panels. what is the total solar power p absorbed by the panels?
Calculate the quantity of energy produced per gram of reactant for the fusion of h-3 (atomic mass = 3.016049 amu) with h-1 (atomic mass = 1.007825 amu) to form he-4 (atomic mass = 4.002603 amu).
The energy produced per gram of reactant for the fusion of H-1 with H-3 to form He-4, can be calculated using the difference of total initial and final masses, which is then used in Einstein's mass-energy equivalence principle (E=mc²). The number of such reactions in 1 gram of reactant is used to convert the energy per reaction to energy per gram of reactant.
Explanation:To calculate the energy produced per gram of reactant in fusion reaction, first let's understand what's happening in the fusion reaction of H-3 with H-1. A helium nucleus is formed with a mass that is 0.7% less than that of four hydrogen nuclei. This mass loss is converted into energy.
The masses of the reactants are 3.016049 u for H-3 and 1.007825 u for H-1, giving us a total initial mass of 4.023874 u. The mass of the helium atom produced, He-4, is 4.002603 u. The mass loss during the reaction equals initial mass minus final mass, which is 0.021271 u.]
Applying Einstein's mass-energy equivalence principle E=mc², where E is energy, m is the lost mass and c is the speed of light, the energy produced in the reaction, can be calculated. To convert amu to kilograms, multiply by 1.66054 x 10⁻²⁷. So, the mass lost is 3.53 x 10⁻²⁹ kg.
As speed of light c = 3 x 10^8 m/s, using the equation we get E = 3.53 x 10⁻²⁹ kg x (3 x 10⁸m/s)² = 3.18 x 10⁻¹²Joules.
Finally, to get the energy per gram, we calculate the number of such reactions in 1 gram of reactants. That would be (1 g)/(4.023874 g/mol) x Avogadro's number (6.02 x 10^23). Multiply this number with the energy produced per reaction to get the energy produced by 1 gram of reactant.
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What is the pressure of the gas in this mercury manometer if h = 63 mm and atmospheric pressure is 773 mmhg?
1. Which of the following statements about mechanical waves is true?
a. mechanical waves require a medium to travel through
b. mechanical waves do not have amplitude and wavelength
c. mechanical waves do not have frequency
d. mechanical waves can travel through blank space
2. Which waves have the shortest wavelength and highest energy on electromagnetic spectrum?
a. microwaves
b. x-rays
c. infrared
c. gamma rays
3. What is true about infrared and X-Rays?
a. X-Rays have greater longer wavelength than infrared
b. Infrared have shorter wavelength than x-rays
c. x-rays have lower energy than infrared
d. Infrared have lower frequency than x-rays
4. In a longitudinal wave (compression wave_ the particles of a matter move ______
a. perpendicular (at right angles)
b. in a circular direction
c. backwards
d. parallel
5. In regard to spend of sound, sound travels slowest in ____
a. solids
b.liquids
c. gases
Mechanical waves require a medium to travel, gamma rays have the highest energy and shortest wavelength on the electromagnetic spectrum, x-rays have higher frequency than infrared, particles in a longitudinal wave move in parallel, and sound travels slowest in gases.
Explanation:1. The correct statement about mechanical waves is 'a. mechanical waves require a medium to travel through'. Unlike electromagnetic waves, mechanical waves, such as sound or seismic waves, need a medium like air, water, or solids to propagate or move.
2. The waves with the shortest wavelength and highest energy on the electromagnetic spectrum are 'c. gamma rays'.
3. The true statement about infrared and X-Rays is 'd. Infrared has lower frequency than x-rays'. X-rays have a higher frequency and shorter wavelength compared to infrared waves, which directly impacts their energy levels, with X-rays having higher energy.
4. In a longitudinal wave (compression wave), the particles of matter move 'd. parallel' to the direction of the wave's propagation. This is different from transverse waves where particles move perpendicular to the wave direction.
5. Sound travels slowest in 'c. gases'. Sound waves travel the fastest through solids, slower through liquids, and slowest through gases.
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which form of energy is involved in weighting fruit on a spring scale ?
A neutral copper ball is suspended by a string. a positively charged insulating rod is placed near the ball, which is observed to be attracted to the rod. why is this? 1. the ball becomes positively charged by induction. 2. the string is not a perfect conductor. 3. there is a rearrangement of the electrons in the ball. 4. the ball becomes negatively charged by induction. 5. the number of electrons i
The copper ball is attracted to the rod because the electrons in the ball rearrange themselves, making one side of the ball negative and the other positive. This process is known as electrostatic induction. Thus, option 3 is correct.
A neutral copper ball is observed to be attracted to a positively charged insulating rod due to electrostatic induction. Here's a step-by-step explanation:
Rearrangement of Electrons: When the positively charged rod is brought close to the neutral copper ball, the electrons in the copper ball are attracted towards the rod because opposite charges attract each other.Induced Polarization: This movement causes the side of the ball closer to the rod to become slightly negative due to the accumulation of electrons, while the side farther from the rod becomes slightly positive due to the lack of electrons.Attraction: The negatively charged side of the copper ball is attracted to the positively charged rod, causing the ball to move towards the rod.Therefore, the correct reason for the observed attraction is the rearrangement of the electrons in the ball, making option 3 the correct answer.
What are (a) the lowest frequency, (b) the second lowest frequency, and (c) the third lowest frequency for standing waves on a wire that is 10.9 m long, has a mass of 55.8 g, and is stretched under a tension of 253 n?
Please help 10 points
Which statement is true of equinoxes? They occur in June and December. Days and nights are equal in length everywhere. The length of daylight in the Arctic and Antarctic circles is 24 hours. The sun’s vertical rays are striking either 23.5°S or 23.5°N.
Answer: Days and nights are equal in length everywhere.
Explanation:
Equinox means equal night. There are two equinox - vernal equinox and autumnal equinox. When the sun crosses celestial equator, the sun rays fall directly over equator at noon. Thus, there is equal length of day and night in the two hemisphere. It occurs around March 22 and September 22.