Answer:
option c is the correct one
Yes hello I’m stuck on this one and it’s very confusing
Answer:
I will guess c for your answer!
Explanation:
I don't know really how to explain my guess.
Answer:
I believe B
Explanation:
73 - 65 = 8
8 / 5 = 1.6
3. Calculate the radii of the first five Fresnel zones if the distance from the light source to the wave surface is 1m, the distance from the wave surface to the observation point is also 1m and the light wavelength is 0.0000005m. (0.50mm; 0.71mm; 0.86mm; 1.0mm; 1.12mm).
The radii of the first five Fresnel zones is 3.6 mm.
Distance from the light source to the wave surface, d₁ = 1 m
Distance from the wave surface to the observation point, d₂ = 1 m.
Wavelength of the light used, λ = 5 x 10⁻⁶m = 5 μm
The expression for the radius of the Fresnel zones is given by,
rₙ = √[nλd₁d₂/(d₁ + d₂)]
Therefore, the radii of the first five Fresnel zones is,
r₅ = √[5 x 5 x 10⁻⁶x 1 x 1/(1 + 1)]
r₅ = √(25 x 10⁻⁶/2)
r₅ = 3.6 x 10⁻³m
r₅ = 3.6 mm
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why fan videos be streamed from the cloud to a computer with no lost quality
Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.
How do digital signals work?
An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.
Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.
Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.
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True or False. When energy changes form, some energy is lost to heat.
True
False
Answer:
True
Explanation:
Energy decreases as it moves up trophic levels because energy is lost as metabolic heat when the organisms from one trophic level are consumed by organisms from the next level.
what are the people and places that help determine a persons view of the world reffered to as
A. Satges Of development
B. Personality organizers
C. Sociological perspectives
D. Agents of socialization
. A ball weighs 120g on the earth surface,
i) What is its mass on the surface of the moon? 1mk
Answer:
WEIGHT ON MOON IS 0.2004N
Explanation:
mass of the body=120g=\(\frac{120}{1000}\)kg=0.12kg (we will convert g into kg)
gravity on moon=1.67m/s²( to find the mass of anybody on another we should know its gravity)
as we know that (from the formula of weight)
weight=mass×gravity
w=mg
w=0.12kg²×1.67m/s²
w=0.2004N
HELPPPPPP
i need to turn this assignment in soon!
Answer:
A B C
Explanation:
I think that is right. Sorry if it's not
Hope this helps :)
Do this question by electric flux
A conducting sphere of radius 10cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is \(1.5*10^{3}\) N/C and points radially inwards what is the net charge on the sphere.
Answer:
To find the net charge on the sphere using electric flux, we can use the formula:
Φ = Q/ε0
Where Φ is the electric flux, Q is the charge, and ε0 is the permittivity of free space.
Given that the electric field 20 cm from the center of the sphere is N/C and points radially inwards, we can use the formula for electric field due to a charged sphere to find the charge on the sphere:
E = kQ/r^2
Where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere.
Substituting the given values, we get:
20 = (1/4πε0)(Q)/(0.2)^2
Solving for Q, we get:
Q = (20)(0.2)^2(4πε0)
Q = 0.64πε0 C
Now, substituting this value of Q in the formula for electric flux, we get: Φ = Q/ε0 = (0.64πε0)/(ε0) = 0.64π C
Therefore, the net charge on the sphere is 0.64π C.
Which elements are not noble gases?
Answer:
All the elements except for the ones on the last column (at the left of the periodic table)
Explanation:
The momentum of a truck is 6.36 * 10 ^ 4 * kgm / s The truck is traveling at a speed of 21.2m / s What is the mass of the truck?
The mass of the traveling truck is approximately 3000 kilograms.
What is the mass of the traveling truck?Momentum is simply the product of the mass of an object and its velocity.
Its is expressed mathematically as;
P = m × v
Where m is the mass of the object and v is its velocity.
Given that:
Momentum of truck P = 6.36 × 10⁴ kgm/s
Velocity of the truck v = 21.2 m/s
Mass of the truck m = ?
Substitute the given values into the equation above and solve for mass.
P = m × v
m = p / v
m = ( 6.36 × 10⁴ ) / 21.2
m = 3 × 10³ kg
m = 3000 kg
Therefore, the truck has a mass of 3000 kg.
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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i need answers asap :)
The frequency of red light having wavelength 650nm in vacuum is 4.6 x 10¹⁴ Hz.
The frequency of light can be calculated using the formula:
frequency = speed of light / wavelength
In vacuum, the speed of light is approximately 3 x 10⁸ m/s.
Converting the wavelength to meters: 650 nm = 650 x 10⁻⁹ m
Plugging these values into the formula, we get:
frequency = (3 x 10⁸ m/s) / (650 x 10⁻⁹ m) = 4.6 x 10¹⁴ Hz
Therefore, the frequency of red light with a wavelength of 650nm in vacuum is 4.6 x 10¹⁴ Hz.
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A 1.35 kg block is pulled across a flat, frictionless floor with a 3.07 n force at 32.0 above horizontal. What is the acceleration of the block
Falling to Earth
Using this graphic organizer, create an argument that supports the assumption that gravity pulls all objects down toward the center of Earth. Provide evidence to support your claim answer
Answer:
gravity pulls objects down to earth.
Explanation
Because Isaac Newton stated that. In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
Water is to be heated from 10°C to 80°C as it flows through a 2-cm-internal-diameter, 13-m-long tube. The tube is equipped with an electric resistance heater, which provides uniform heating throughout the surface of the tube. The outer surface of the heater is well insulated, so that in steady operation all the heat generated in the heater is transferred to the water in the tube. If the system is to provide hot water at a rate of 5 L/min, determine the power rating of the resistance heater. Also, estimate the inner surface temperature of the pipe at the exit.
Answer:
- the power rating of the resistance heater is 24139.5 W
- the inner surface temperature of the pipe at the exit is 96.34°C
Explanation:
Given the data in the question;
Flow rate of water in the tube V" = 5L/min = 8.333 × 10⁻⁵ m³/s
The water is to be heated from 10°C to 80°C;
so Average or mean temperature \(T_{avg\) will be;
\(T_{avg\) = (T₁ + T₂) / 2 = (10 + 80) / 2 = 90/2 = 45°C
Now, from the Table " Properties of Water " at average temperature;
at \(T_{avg\) = 45°C
density p = 990.1 kg/m³
specific heat \(C_p\) = 4180 J/kg-k
thermal conductivity k = 0.637 W/m-°C
Now, we determine the mass flow;
m" = pV"
we substitute
m" = 990.1 × 8.333 × 10⁻⁵
m" = 0.08250 kg/s
we know that the power rating of the resistance heater is equal to the heat transfer rate to the water;
Q' = m"\(C_p\)( T₂ - T₁ )
we substitute
Q' = (0.08250 × 4180 ) ( 80 - 10 )
Q' = 344.85 × 70
Q' = 24139.5 W
Hence, the power rating of the resistance heater is 24139.5 W
Next, we determine the average velocity of water in the tube;
\(V_{avg\) = V" / \(A_c\)
\(V_{avg\) = V" / ( \(\frac{1}{4}\)πD² )
given that; flows through a 2-cm-internal-diameter; D = 0.02 m
we substitute
\(V_{avg\) = (8.333 × 10⁻⁵) / ( \(\frac{1}{4}\)π × (0.02)² )
\(V_{avg\) = (8.333 × 10⁻⁵) / ( 3.14159 × 10⁻⁴ )
\(V_{avg\) = 0.265 m/s
Also, from table " saturated water property table "
At 45°C
viscosity μ = 0.596 × 10⁻³ kg/m-s
Prandtl number Pr = 3.91
Now, we determine the kinematic viscosity
v = μ / p
we substitute
v = ( 0.596 × 10⁻³ ) / 990.1
v = 6.01959 × 10⁻⁷ m²/s
so, Reynolds number in the flow region will be;
Re = (\(V_{avg\) × D) / v
we substitute
Re = ( 0.265 × 0.02) / (6.01959 × 10⁻⁷)
Re = 8804.586
we can see that our Reynolds number ( 8804.586 ) more than 2300 and less than 10,000.
Hydraulic and thermal entry length are equal in this flow region,
such that;
\(L_h\) = \(L_t\)
⇒ 10 × D = 10 × 0.02 = 0.2 m
we can see that the entry length ( 0.2 m ) is smaller than the given length ( 13 m ) in the question; the flow is a turbulent flow.
So we the Nuddelt number
Nu = \(0.023Re^{0.8} Pr^{0.4\)
Nu = 0.023 × \(8804.586^{0.8\) × \(3.91^{0.4\)
Nu = 56.8
Hence, the heat transfer coefficient h will be;
h = \(\frac{k}{D}\) × Nu
we substitute
h = \(\frac{0.637}{0.02}\) × 56.8
h = 31.85 × 56.8
h = 1809.1 W/m²-°C
Now, area of the heat transfer will be
A\(_s\) = πDL
we substitute
A\(_s\) = π × 0.02 × 13
A\(_s\) = 0.8168 m²
Finally we determine the inner temperature of the pipe at exit. using the relation;
Q' = hA\(_s\)( T₃ - T₂ )
we substitute
24139.5 = 1809.1 × 0.8168( T₃ - 10 )
24139.5 = 1477.67288( T₃ - 80 )
24139.5 = 1477.67288T₃ - 118213.8304
24139.5 + 118213.8304 = 1477.67288T₃
1477.67288T₃ = 142353.3304
T₃ = 142353.3304 / 1477.67288T
T₃ = 96.34°C
Therefore, the inner surface temperature of the pipe at the exit is 96.34°C
While operating around buildings, the remote PIC should be aware of the creation of wind gusts that
answer choices
— change rapidly in direction and speed causing turbulence.
— enhance stability and imagery.
— increase performance of the aircraft.
The remote PIC should be aware of the wind gust because of a) the rapid change in direction and speed which causes turbulence.
The wind gust is a sudden short-term increase in wind speed. According to US weather observation practice, a gust is reported when the maximum wind speed reaches at least 16 knots and the difference between the maximum wind speed and the light wind speed reaches at least 9 knots. Wind forces can disrupt a building's load path or pierce the building's skin. Doors and windows can burst in really high winds. In other cases, nearby debris can be caught in the wind and flung into the building's envelope.
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What is the result of (3.60 m ✕ 1.50 m)/0.50 m with the proper number of significant figures? answer in: m
We will have the following:
\(\frac{3.60m\ast1.50m}{0.50m}=10.8\approx11\)So, the solution with the proper number of significant figures is approximately 11. [2 significant figures]
The basal metabolic rate is the rate at which energy is produced in the body when a person is at rest. A 157 lb (71.0 kg ) person of height 5.91 ft(1.80 m ) would have a body surface area of approximately 1.90 m2 .
Reqiuired:
a. What is the net amount of heat this person could radiate per second into a room at 19.0 ∘C (about 66.2∘F) if his skin's surface temperature is 31.0 ∘C? (At such temperatures, nearly all the heat is infrared radiation, for which the body's emissivity is 1.00, regardless of the amount of pigment.)
b. Normally, 80.0 % of the energy produced by metabolism goes into heat, while the rest goes into things like pumping blood and repairing cells. Also normally, a person at rest can get rid of this excess heat just through radiation. Use your answer to part A to find this person's basal metabolic rate(BMR).
Answer:
A. Net amount of heat radiated = 109.2W
B. Person's basal energy = 136.5
Explanation:
Part A:
Area of person, A = 1.90 m^2
Temperature of person , T = 31 C
T = 304 K
Temperature of surroundings , To = 19 C
To = 282 K
Now, net amount of heat radiated = e*A*sigma *(T^4 - To^4)
Net amount of heat radiated = 1 * 1.8 * 5.6703 *10^-8 *(304^4 - 294^4)
Net amount of heat radiated = 109.2 W
The net amount of heat radiated is 109.2 W
Part B:
Person's basal energy = net amount of heat radiated /(0.80)
Person's basal energy = 109.2/0.80
Person's basal energy = 136.5 W
Person's basal energy is 136.5 W
1. A body of mass 0.5kg is taken up an Inclined plane the length 10m and height 8m and then allowed to slide down to the bottom again the coefficient of Friction in the body and the plane is 0.12.what is a. work done by gravitational force over the ground trip? b work done by applied force over the up work trip? c. work done by Frictional force over the round trip? d. Kinetic energy of the body at the end of the trip?
According to the Keynesian view, manipulating foreign sector spending is not a reliable way to move the U.S. economy toward a more acceptable equilibrium because __________.
According to the Keynesian view, manipulating foreign sector spending is not a reliable way to move the U.S. economy toward a more acceptable equilibrium because it does not address the fundamental causes of economic instability.
Keynesian economics focuses on the role of domestic demand in driving economic growth and stability. The government can use fiscal and monetary policy to stimulate aggregate demand and promote full employment. However, changes in foreign sector spending can be unpredictable and beyond the control of domestic policymakers. For instance, an increase in foreign demand for U.S. exports could boost economic growth and employment in the short run, but it may not be sustainable if the foreign demand later decreases. Similarly, a decrease in foreign demand for U.S. exports could have negative short-term effects on the economy, but it may not necessarily lead to a long-term decline. In short, Keynesian economics emphasizes the importance of domestic demand management and stabilizing the economy through government intervention. While changes in foreign sector spending can have some impact on the economy, they are generally seen as unreliable and unpredictable, and therefore not a reliable tool for achieving economic stability in the long run.
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Question 1 of 20:
Select the best answer for the question.
1. What's an example of being proactive in your workouts?
A. Wearing appropriate running shoes for your environment
O B. Choosing to use the next available cardio machine
O C. Going on a run without planning your path ahead of time
O D. Working out twice as long as expected since you're not fatigued
O Mark for review (Will be highlighted on the review page)
A. Wearing appropriate running shoes for your environment is an example of being proactive in your workouts.
What are the ways of becoming proactive in workouts?There are several ways to become proactive in workouts:
(1) Set specific goals: Setting specific and measurable fitness goals can help you stay focused and motivated. It can also help you track your progress and make necessary adjustments to your workout routine.
(2) Plan your workouts: Planning your workouts ahead of time can help you stay organized and committed to your fitness routine. This can include scheduling your workouts in advance and creating a workout plan that targets your specific goals.
(3) Track your progress: Tracking your progress can help you stay motivated and see how far you've come. This can include keeping a workout journal, taking progress photos, or using a fitness tracker.
(4) Stay consistent: Consistency is key when it comes to achieving fitness goals. Set a regular workout schedule and stick to it as much as possible.
(5) Listen to your body: Pay attention to how your body feels during and after workouts. If something doesn't feel right, make adjustments or seek guidance from a fitness professional.
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with an armature resistance of 0.03 2 and a field resistance of
41.67 2. The motor has compensating windings, so armature
reaction can be ignored. Mechanical and core losses may be
assumed to be negligible for the purposes of this problem. The
motor is assumed to be driving a load with a line current of 126 A
and an initial speed of 1103 r/min. To simplify the problem,
assume that the amount of armature current drawn by the motor
remains constant.
A. If the machine's magnetization curve is shown in Figure 8-9, what is the motor's
speed if the field resistance is raised to 50 ?
B. Calculate and plot the speed of this motor as a function of the field resistance RF
assuming a constant-current load.
R₁ = 0.03 2
EA
IA
IF
IL
RF + Radj
LF
+
250 V
A. The motor's speed is approximately 1086 r/min if the field resistance is raised to 50 Ω.
B. The speed of this motor as a function of the field resistance RF is approximately 1086 r/min
A. According to the magnetization curve shown in Figure 8-9, the motor's speed can be calculated by using the following equation:
EA = kϕN, where EA is the back EMF, k is a constant, ϕ is the magnetic flux, and N is the motor speed.
Since the amount of armature current remains constant, the back EMF is also constant.
Therefore, the magnetic flux must also be constant. The magnetic flux is proportional to the field current IF, which can be calculated using Ohm's law:
IF = (250 V - EA)/(RF + R₁)
At the initial field resistance of 41.67 Ω, the field current is IF = (250 V - EA)/(41.67 Ω + 0.03 Ω) = (250 V - EA)/41.70 Ω.
If the field resistance is raised to 50 Ω, then the new field current is IF = (250 V - EA)/(50 Ω + 0.03 Ω) = (250 V - EA)/50.03 Ω.
Since the magnetic flux is constant, we can set the two expressions for IF equal to each other and solve for N:
kϕN/IF1 = kϕN/IF2
N = (IF2/IF1)N1 = (250 V - EA)/(50.03 Ω + 0.03 Ω) * 1103 r/min ≈ 1086 r/min
Therefore, the motor's speed is approximately 1086 r/min if the field resistance is raised to 50 Ω.
B. The speed of the motor as a function of the field resistance RF can be plotted using the same equation used in part A:
N = (250 V - EA)/(RF + R₁ + Radj) * 1103 r/min
where Radj is the resistance of any additional resistance in the circuit. Since the load current is constant, the current through the motor is also constant, so EA is also constant.
Therefore, the speed is inversely proportional to the total resistance in the circuit, which includes the field resistance RF, armature resistance R₁, and any additional resistance Radj.
A plot of the speed as a function of the field resistance is shown in Figure 8-10. As the field resistance increases, the speed of the motor decreases due to the increased total resistance in the circuit. This relationship is linear for this type of constant-current load.
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List two things affected by friction PLEASE RESPOND I NEED HELP
metal and hair I think hope this helps
Answer:
cars and trains
Explanation:
i hope that good
Sound waves rely on matter to transmit their energy. They cannot ravel in a vacuum. True or false
Answer:
false
Explanation:
Hello,
QUESTION)True,Sound travels in a material medium, in space, there is no matter, so sound cannot propagate.
A hockey puck with a mass of 0.171 kg slides over the ice. The puck initially slides with a speed of 5.65 m/s, but it comes to a rough patch in the ice which slows it down to a speed of 3.05 m/s.
How much energy is dissipated as the puck slides over the rough patch?
To answer the question we have, 1.93401 J of energy is lost when the puck travels over the uneven surface.
What is the easiest way to define energy?Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one kind to the other before employing it to accomplish tasks, making western civilisation possible.
Hockey weighs 0.171 kg.
Starting speed: 5.65 m/s
Ultimately, the speed was 3.05 m/s.
We must determine how much kinetic energy was lost on the tough patch.
\(E_{d}=\frac{1}{2} v^2_{2} -v^2_1\)
Where, m = mass
v₁ = Initial velocity
v₂ = Final velocity
Put the value into the formula
\(E_{d}=\frac{1}{2}\) × 0.171 × \((3.05^2 - 5.65^2)\)
= 1.93401 J energy is dissipated as the puck slides over the rough patch.
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You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?
Answer:
Explanation:
A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:
Output force = Weight of object = m * g
where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:
Output force = 15 kg * 9.81 m/s^2 = 147.15 N
Therefore, the output force required to lift a 15 kg object would be 147.15 N.
B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.
C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:
Mechanical advantage = Output force / Input force = 40 N / 10 N = 4
So, the ramp multiplies your force by a factor of 4.
Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.
One of the basic rules of science is
that it can change if new information is discovered.
Use what you know about the solar system, how has the geocentric
model of the solar system changed over time?
A. Jupiter is no longer at the center
B. a black hole is no longer at the center
C. the Earth is no longer at the center
D. the Sun is no longer at the center
fill in the corresponding transcription and translation for each organism and determine the amino acid for which the dna is coded and the organism that would result from their protein synthesis
The process of transcription and translation forms part of the central dogma of molecular biology which describes protein synthesis from genes.
What is transcription?Transcription is the process whereby RNA molecules are synthesized from DNA.
The RNA produced is messenger RNA written as mRNA
The mRNA produced is used then used to synthesize proteins at the ribosomes in a process known as translation.
Amino acids which are used to make the proteins are code for by three nucleotides known as codons.
Therefore, the process of transcription and translation is used for protein synthesis from genes.
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A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm,find the emf of the cell.
A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.
To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.
Given:
Resistance of the coil, R1 = 4 ohm
Resistance of the other resistor, R2 = 8 ohm
Current passing through the 8-ohm resistor, I = 2A
First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.
The total resistance of two resistors in parallel can be calculated using the formula:
1/Rp = 1/R1 + 1/R2
Substituting the given values, we have:
1/Rp = 1/4 + 1/8
1/Rp = 2/8 + 1/8
1/Rp = 3/8
Rp = 8/3 ohm
Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).
R_total = R_internal + Rp
R_total = 0.5 + 8/3
R_total = 1.833 ohm
Now, we can find the emf of the cell using Ohm's Law:
emf = I * R_total
emf = 2 * 1.833
emf ≈ 3.667 volts
Therefore, the emf of the cell is approximately 3.667 volts.
However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.
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A grating has 2000 slits/cm/cm. How many full spectral orders can be seen (400 to 700 nmnm) when it is illuminated by white light
With the use of the formula SinФ = nλ / d, there are 16 spectral orders which can be seen when it is illuminated by white light.
Given that a grating has 2000 slits/cm. That is,
d = 0.01 / 2000
d = 5 x \(10^{-6}\) m
The wavelength λ = (700 - 400) nm
λ = 300 x \(10^{-9}\) m
To calculate how many full spectral orders that can be seen (400 to 700 nm) when it is illuminated by white light, we will use the below formula
SinФ = nλ / d
Φ = \(Sin^{-1}\) (nλ / d)
When n = 1
Φ = \(Sin^{-1}\)(300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )
Φ = 3.4 degrees
when n = 2
Φ = \(Sin^{-1}\)(2 x 300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )
Ф = 6.9 degrees
When n = 3
Ф = \(Sin^{-1}\)(3 x 300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )
When n = 16
Ф = \(Sin^{-1}\)(16 x 300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )
Ф = \(Sin^{-1}\)(0.96)
Ф = 73.7 degrees
when n = 17
Ф = \(Sin^{-1}\)(17 x 300 x \(10^{-9}\)/ 5 x \(10^{-6}\) )
Ф = \(Sin^{-1}\)(1.05)
Ф = Error ( that is, it does not exist)
Therefore, there are 16 spectral orders which can be seen when it is illuminated by white light.
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