Solution :
Given the laser light which is sent through the double slit produces an interference pattern on the screen placed 3 meters from the slits.
The 8th order maximum occurs at angle = 12
So,
[tex]$8^{th} \text{ order maxima} = d \sin \theta = m \lambda$[/tex] , m = 8
[tex]$d = \frac{8 \lambda}{\sin 12}$[/tex]
[tex]$\frac{\lambda}{d}= \frac{\sin 12}{8}$[/tex]
[tex]$3^{rd} \text{ order maxima}= d \sin \theta_2 = m_2 \lambda$[/tex]
[tex]$\sin \theta_2 = \frac{m_2 \lambda}{d}=\frac{3 \lambda}{d}$[/tex] [tex]$=0.75\ {\sin 12}$[/tex]
[tex]$\theta_2 = \sin^{-1}\left(0.75\ \sin 12\right)$[/tex]
[tex]$ = \sin^{-1}\left(0.155)$[/tex]
[tex]$=8.91^\circ$[/tex]
A double-slit interference pattern is created by two narrow slits spaced 0.25 mm apart. Thedistance between the first and the fifth minimum on a screen 60 cm behind the slits is 5.5mm. What is the wavelength (in nm) of the light used in this experiment
Answer:
Explanation:
Slit distance d = .25 x 10⁻³ m .
Distance of screen D = 60 x 10⁻² m
Distance between first and fifth minimum = 5.5 x 10⁻³ m .
There will be four bright fringes between first and 5 th minimum so
distance between them = 4 x λ D / d where λ is the wavelength of light .
Substituting the values
4 x λ x 60 x 10⁻² m / .25 x 10⁻³ m = 5.5 x 10⁻³ m
4 x λ x 60 x 10⁻² m = .25 x 10⁻³ m x 5.5 x 10⁻³ m = 1.375 x 10⁻⁶ m
λ = .005729 x 10⁻⁴
= 572.9 x 10⁻⁹ m
= 572.9 nm .
The energy photon affects which property of light
Answer:
photoelectric effect
Explanation:
When the energy from photons is absorbed by matter, the matter can emit electrons. This process is called the photoelectric effect. The photoelectric effect is a property of light that is not explained by the theory that light is a wave.
The average lifespan of an incandescent lightbulb (at 60 W) is 1,200 hours. How much energy does the incandescent lightbulb use during its lifetime? (Answer in (60W = 0.06kW)
Answer:
0072.00kW
Explanation:
1,200 hours multiply by 60W will give you 72000kW. Convert it to kW. That will give you 0072.00kW.
A rural, forested area receives a lot of rain in a short amount of time. What
would most likely cause potential flooding in the area?
A. If the surface aquifer has a high water table
B. If the area's soil is unsaturated
C. If the ground of the area is mostly sandy soil
D. If the area has an aquifer with a low water table
Answer: A. If the surface aquifer has a high water table
Explanation:
The water table refers to the water level underground. If it is high, it means that the water underground is close to the surface such that if a well was dug, it would not need to be dug too far for water to be seen.
When heavy rain falls, flooding is avoided if the water is either able to run off efficiently or if the ground is able to absorb the water. When the water table is high, it means that the ground will not be able to absorb much because the water is already close to the surface which means that should heavy rain fall, there will most likely be a flood.
define rectilinear propagation of light
Answer:
Electromagnetic waves to travel in a straight line. Light only deviates from a straight line when the medium it is travelling through changes density. This is called refraction. Light does not deviate when travelling through a homogeneous medium, which has the same refractive index throughout. Wikipe
Jaleh takes path 1 from point A to point B. She then runs from point B back to point A, following path 3. It takes her 500 seconds to make the round trip.
What is Jaleh's velocity for the entire trip?
Answer:
C
Explanation:
Which wavelength is most likely seen as violet light?
Which of these uses the force of gravity to make it move?
OA
A sailboat moving across a lake
ОВ:
A car making a right turn
ОС:
A snow sled going downhill
OD
A bicycle rolling to a stop
Plz somebody help this is a test
Answer:
C: A snow sled going down hill
Which diagram best shows the field lines around two bar magnets attracting
each other?
el sistema energético que importancia tiene en el cuerpo
Answer:
De un modo más claro, los sistemas energéticos son los modos que tiene el organismo para suministrar ATP a los músculos. Como decimos, en todos los esfuerzos físicos es necesario contar con la cantidad suficiente de energía y esto viene determinado por la producción de ATP, el adenosin trifosfato.
LeBron James's average running speed is 8m/s, how far does he run in 25 seconds?
Use a red pen to write the equation and work out the problem
Answer in GREEN, please!!!
Answer:200
Explanation:25 x 8
200 meters because if he runs 8 meters in 1 second, then in 25 seconds he will run 200 because the relationship between 1 and 25 is x25, and the relationship between 8 and 200 is also x25 because 8 x 25 = 200
When an object levitates, the magnetic force causes the object to repel. Without this magnetic force, ________ would pull the object down.
Answer:
gravity
Explanation:
I don't know what the explanations would be
A golf club hits a 0.0459 kg golf ball at rest; the club is in contact with the ball for 0.00138 s. Afterwards the ball leaves at 63.9 m/s. How much force acted on the ball? (Unit = N)
Answer: 2120 N is correct
Explanation: correct answer for acellus
If you add 1.33 MJ of heat to 500 g of water at 50°C in a sealed container, what is the final temperature of the steam? The latent heat of vaporization of water is22.6 × 105J/kg, the specific heat of steam is 2010 J/kg ∙ K, and the specific heat of water is 4186 J/kg ∙ K.
Answer: 195C.
HOPE THIS HELPS
The final temperature of the steam will be 1313.23 degree centigrade
What is Temperature?Temperature, measure of hotness or coldness expressed in terms of any of several arbitrary scales and indicating the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature).
It is given that
Energy = 1.33 MJ=1.33*10^3 KJ
Temperature T1=50 C
Latent heat of vaporisation= 22.6*10^2 KJ/kg
Specific heat steam = 2010 j/kg =2.010 Kj/lg
Specific of water = 4.186 Kj/kg
Now heat will increase the sensible heat of water from 50 to 100 degree centigrade and then the phase change takes place again the temperature increases from the 100 degree to the final temperature of superheated steam.
[tex]Q=mc(T_f-T_i)+\dfrac{Q_L}{T_{sat}}+mc_s(T_f-T_i)[/tex]
[tex]1.33\times 10^3=0.5\times 4.186\times (100-50)+\dfrac{22.6\times 10^2}{373}+0.5\ti,es 2.018\times (T_f-373)[/tex]
[tex]1.33\times 10^3=104.65+6.05+1.005(T_f-373)[/tex]
[tex]T_f=1313[/tex]
Hence the final temperature of the steam will be 1313.23 degree centigrade.
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Which option describes the direction of thermal energy transfer in Earth's
oceans?
A. From the poles to the equator
B. From the equator to the poles
C. From the ocean floor to its surface water
D. From cool areas to warm areas
.........
Explanation:
Option B..... ...
If we had sent a radio signal to an advanced civilization in 2006 which is located in the zeta reticuli star system approximately 39 light-years away, when would the signal arrive at its destination
Answer: 2045
Explanation:
Given
We had sent a radio signal to advance civilization in 2006 which is 39 light-years away i.e. time taken by light to reach reticuli star system is 39 years.
So, it will arrive the destination in the year [tex]2006+39=2045[/tex]
A siren moves toward you. What happens to the wavelength of
the sound you hear?
[the Wavelegnth decreases]
Answer: the wavelength increases
Explanation:
A freezer has a coefficient of performance of 4.1. You place 0.45 kg of water at 16°C in the freezer, which maintains its temperature of -18°C. In this problem you can take the specific heat of water to be 4190 J/kg/K, the specific heat of ice to be 2100 J/kg/K, and the latent heat of fusion for water to be 3.34 ×105 J/kg. How much additional energy, in joules, does the freezer use to cool the water to ice at -18°C?
Two train cars moving in the same direction are going to be coupled together. The mass of the first car is 5,000 kg and is moving at 5 m/s; the second car weighs the same, but is moving at 1 m/s. How fast will the two coupled cars move and how much kinetic energy does the system lose from coupling the cars together after they collide
Answer: [tex]3\ m/s,\ 20,00\ J[/tex]
Explanation:
Given
Mass of the first car [tex]m_1=5000\ kg[/tex]
Mass of the second car [tex]m_2=5000\ kg[/tex]
The velocity of the first car is [tex]v_1=5\ m/s[/tex]
The velocity of the second car is [tex]v_2=1\ m/s[/tex]
Conserving momentum, take [tex]v_o[/tex] as the velocity after coupling
[tex]\Rightarrow m_1v_1+m_2v_2=\left( m_1+m_2\right)v_o\\\Rightarrow 5000\times 5+5000\times 1=\left( 10,000\right)v_o\\\\\Rightarrow v_o=\dfrac{25,000+5000}{10,000}\\\\\Rightarrow v_o=\dfrac{30,000}{10,000}\\\Rightarrow v_o=3\ m/s[/tex]
[tex]\text{Initial kinetic Energy }K_1=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2\\\\\Rightarrow K_1=\frac{1}{2}\times 5000\left( 5^2+1^2\right)\\\\\Rightarrow K_1=65,000\ J\\\\\\\text{Final Kinetic Energy}\ K_2=\frac{1}{2}\left(m_1+m_2\right)v_o^2\\\\\Rightarrow K_2=\frac{1}{2}\times 10,000\times 3^2\\\\\Rightarrow K_2=45,000\ J\\\\\text{Kinetic energy lost is equivalent to change in Initial and final energy i.e.}\\\\\Rightarrow K_1-K_2=65,000-45,000\\\\\Rightarrow K_1-K_2=20,000\ J[/tex]
13. A tow-truck applies a force of 2,000 N on a 2,000 kg car for a period of 3 seconds. What is the magnitude of
the change in the car's momentum?
Answer:
The Formula is
Change in Momentum = Force * Time
or /\P= F/\t
Plug the numbers into that formula,
P=(2,000N)(3S)
Now Multiply
Your Change in Momentum (Or P) would be 6,000N*s
Please Give Brainliest/5 stars <3
The magnitude of the change in the car's momentum = 6000 N.s
What is change in momentum ?The rate of change of momentum is equal to impulse . It is the change in the product of mass and velocity of the body or it can be calculated as force times time period for which force is been applied
Change in momentum = impulse(if change occur for few seconds ) = Force * time period
given
Force = 2000 N
mass = 2000 kg
time = 3 seconds
Change in momentum = 2000 * 3 = 6000 N.s
The magnitude of the change in the car's momentum = 6000 N.s
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A ladder of length 10 is leaning against a wall. The vertical wall is frictionless while the horizontal surface is rough. The angle between the ladder and the horizontal surface is 50 degrees. If the mass of the ladder is 14 kg, what is the magnitude of the friction force (in N) exerted on the ladder in the point of contact with the horizontal surface
Answer:
105.1N
Explanation:
According to the newton second law
[tex]\sum F_x = ma_x\\F_m - F_f = ma_x\\[/tex]
Since the acceleration is zero, then;
[tex]F_m - F_f = 0\\Fm = F_f\\[/tex]
Since;
[tex]F_m = mg sin \theta, \ hence \ F_f = mg sin \theta[/tex]
Given the following
mass of ladder m = 14kg
acceleration due to gravity g = 9.8m/s²
θ = 50°
Substitute
[tex]F_f = 14(9.8)sin50\\F_f = 14(7.5072)\\F_f = 105.1N\\[/tex]
Hence the magnitude of the friction force (in N) exerted on the ladder in the point of contact with the horizontal surface is 105.1N
True or false in order for light to be emitted electrons must move from high energy state to a lower energy state?
1 point
A.True
B.False
Answer:
B
I think it is false.
It does not move to lower energy state.
The tension in a pulley belt is 31 N when stationary. Calculate power in watts transmitted when the belt is on the point of slipping on the smaller wheel. the wheel is 379 mm diameter and the coefficient of friction is 0.3. The angle of lap is 1610. The wheel speed is 1,547 rev/min.
Answer:
P = 756.84 Watts
Explanation:
As the tension is stationary or innitial, T₀ = 31 N, the mean would be:
T₁ + T₂ / 2 = T₀ (1)
T₁ + T₂ = 2 * 31 = 62 N
Now, with the following expression we can determine the linear speed:
V = πWD (2)
W: angular speed of the wheel (rev/s)
D: diameter of the wheel (in meters)
W = 1547 rev/min * (1 min/60 s) = 25.78 rev/s
V = π * 25.78 * 0.379 = 30.695 m/s
We also know that:
T₁ / T₂ = exp (μθ)
T₁ = T₂ exp(μθ) (3)
We already have those values so replacing:
T₁ = T₂ exp(0.3 * 161 * π/180)
T₁ = 2.32T₂ (4)
We can now replace (4) in (1) like this:
T₁ + T₂ = 62 N
2.32T₂ + T₂ = 62
3.32T₂ = 62
T₂ = 18.67 N
Which means that T₁:
T₁ = 2.32(18.67)
T₁ = 43.33 N
Finally, the power can be determined using the following expression:
P = (T₁ - T₂)V (5) Replacing we have:
P = (43.33 - 18.67)*30.695
P = 756.84 WattsHope this helps
A 70 kg human body typically contains 140 g of potassium. Potassium has a chemical atomic mass of 39.1 u and has three naturally occurring isotopes. One of those isotopes, 40K (potassium), is radioactive with a half-life of 1.3 billion years and a natural abundance of 0.012 %. Each 40K (potassium) decay deposits, on average, 1.0 MeV of energy into the body.
What yearly dose in Gy does the typical person receive from the decay of 40K (potassium) in the body? Express your answer using two significant figures.
Answer:
Gy = 3.14x10⁻⁴ Gy
Explanation:
To get the dose in Gy we need to use the following expression:
Gy = E / m (1)
Where:
Gy: dose
E: energy absorbed per atom
m: mass of the human body.
We don't have the energy per atom, but we can calculate that by following the next procedure.
First, let's determine the number of atoms of potassium in our body. For that we need to determine the moles in the 140 g of potassium, with the molecular mass and then, use the avogadro's number:
moles = m/MM
moles = 140 / 39.1 = 3.58 moles
N° atoms = 3.58 * 6.02x10²³ atoms = 2.16x10²⁴ atoms of K.
The abundance of the ⁴⁰K is 0.012% so the atoms of this isotope would be:
N = 2.16x10²⁴ * (0.012/100) = 2.59x10²⁰ atoms of ⁴⁰K.
With this number, and the half life rate, we can determine the number of decay atoms in a year (λ) using the following expression:
λ = ln2 / t(1/2)
λ = ln2 / 1.3x10⁹ = 5.33x10⁻¹⁰ year⁻¹
This number, multiplied by the number of atoms:
R = 5.33x10⁻¹⁰ * 2.59x10²⁰ = 1.38x10¹¹ atoms/year
Now, each atom of K gives an average energy of 1 MeV, so with the atoms we have:
E = 1.38x10¹¹ * 1x10⁶ eV = 1.38x10¹⁷ eV
This value can be expressed in Joules so:
E = 1.38x10¹⁷ eV * (1 J / 6.24x10¹⁸ eV) = 0.022 J
Finally, we can use (1) to get the dose in Gy:
Gy = 0.022 / 70
Gy = 3.14x10⁻⁴ GyHope this helps
Two children are throwing a ball back-and-forth straight across the back seat of a car. The ball is being thrown 7 mph relative to the car, and the car is travelling 45 mph down the road. If one child doesn't catch the ball and it flies out the window, in what direction does the ball fly (ignoring wind resistance)
Answer:
the ball will fly in AX direction, making angle of 8.84° from the motion of the car
Explanation:
Given the data in the question and as illustrated in the diagram below;
Now, Lets assume line AB represent the movement of the car,
AC is the movement of the ball been thrown back and forth in the back seat
Ax is the motion of the ball it flies off the window
so from the diagram, We can see triangle ABC
where AB is 45 mph and AC = 7 mph
and angle ∠CAB = 90°
using SOH CAH TOA
TOA; tanθ = Opposite / Adjacent
tanθ = Opposite / Adjacent
tan( ∠ ABC ) = AC / AB
we substitute
tan( ∠ ABC ) = 7 / 45
tan( ∠ ABC ) = 0.15555
( ∠ ABC ) = tan⁻¹ 0.15555
( ∠ ABC ) = 8.84°
Therefor, angle ( ∠ ABC ) is 8.84°
Meaning angle ( ∠ XAA' ) is also 8.84°
Therefore, the ball will fly in AX direction, making angle of 8.84° from the motion of the car
Which diagram best shows the field lines around two bar magnets attracting
each other?
Answer: (A) is the correct answer.
Explanation:
Mrs. Yawn is making a flute using a metal tube that is 0.7 m long.
0.7 m
adjustable mouthpiece
Flute after hole has been cut (not pictured to scale)
Mrs. Yawn estimated the speed of sound to be 340 m/s in the room where she is making the flute. If the
wavelength of the sound wave is 1.4 m, calculate the frequency of the flute. Show all of your work and
write your answer in the box provided.
Answer:
Dont understand question, sorry!!!
The frequency of the flute made by Mrs. Yawn is 242.9 Hz.
What is wavelength?Wavelength is the distance between two consecutive points of a wave that are in phase, i.e., that are at the same position in their cycle. It is usually denoted by the Greek letter lambda (λ).
The relationship between wavelength and velocity is described by the wave equation:
Velocity = Wavelength x Frequency
This equation shows that the velocity of a wave is directly proportional to its wavelength and frequency. In other words, if the wavelength of a wave increases while its frequency remains constant, its velocity will also increase. Similarly, if the wavelength decreases while the frequency stays the same, the velocity will decrease.
This relationship between wavelength and velocity is important in understanding various wave phenomena, such as the Doppler effect, diffraction, and interference. It also has practical applications in fields such as acoustics, optics, and telecommunications.
Here in the Question,
The speed of sound in the room is 340 m/s, and the wavelength of the sound wave is 1.4 m. The frequency of the sound wave can be calculated using the formula:
Frequency = Speed of sound / Wavelength
Substituting the given values, we get:
Frequency = 340 m/s / 1.4 m
Frequency = 242.9 Hz (rounded to one decimal place)
Therefore, The flute Mrs. Yawn created has a 242.9 Hz frequency.
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the sun transfers heat to earth through ___ this method of heat transfer is evidence that ___ is not necessary for heat to move from place to place
Answer:
electromagnetic waves, physical contact
Explanation:
The sun transfers heat to earth through electromagnetic radiation. This method of heat transfer is evidence that direct contact is not necessary for heat to move from place to place.
What is meant by heat transfer ?Heat transfer is defined as the flow of heat or thermal energy from one point to another due to the temperature difference between the two points.
Here,
Due to the temperature difference between, heat transfer occurs between two points through various methods such as conduction, convection and radiation.
Conduction is the process of heat transfer through which heat is transferred between two objects that are in direct contact with each other. It can occur in solids, liquids and gases.
Convection is the process of heat transfer through which the heat is transferred by the movement of fluids. Air and water currents are the examples for it.
Radiation is the process of heat transfer in which the heat is transferred in the form of electromagnetic waves.
The heat energy from the sun reaches the earth through the phenomenon called electromagnetic radiation. Mainly infrared radiations carry the heat towards earth.
Unlike conduction and convection, radiation does not require any matter to transfer the heat energy.
Hence,
The sun transfers heat to earth through electromagnetic radiation. This method of heat transfer is evidence that direct contact is not necessary for heat to move from place to place.
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What is an electron?
(it’s D lol)
Answer:
yeah..
Explanation:
A wave has a speed of 450 m/s and a frequency of 5 Hz. What is its wavelength?
Give you answer to a 1 decimal place.
Your Answer:
Answer
the wavelength is 90
Explanation:
