In a diffraction experiment, a coherent light source illuminates a pair of identical slits in a barrier, and the resulting pattern is projected on a screen that is separated from the barrier by 2.05 m. A student sketches the pattern that appears on the screen. The locations of the centers of the bright and dark fringes are accurate, but the shading is only qualitative. The color chosen may not be an ideal match to the actual light source. TITUTE THI HT -50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 50.0 y (cm) * 25% Part (a) Enter the ratio of the slit separation, d, to the slit width, D, as a whole number. d = D TT 7 8 9 HOME E 4 5 6 sino cos tan cotano asin acos atan acotan sinh cosho tanh) cotanh O Degrees Radians 1 2 3 + 0 END . VO BACKSPACE DE CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. A 25% Part (b) Calculate and enter the ratio of the slit width to the wavelength of the light source. A 25% Part (C) If the slit separation is 17 um, then calculate and enter the wavelength, in nanometers, of the light source. 25% Part (d) What is the slit width, in micrometers?
Answers
(a) The ratio of the slit separation d, to the slit width D;
d/D = 0.0001
(b The ratio of the slit width to the wavelength of the light source λ;
d/λ = 51.25
(c) The wavelength, in nanometers, of the light source;
λ = 331.7 nm
(d) The slit width, in micrometers;
d = 20.5 µm
(a) We know that Fringe width is given by,
\(\beta =\frac{D\lambda}{d}\)
Where,
D = slit to screen distance
λ = wavelength
d = slit width
Given in the question,
D = 2.05 m
\(\beta =4 cm=0.04m\)
Now,
\(\frac{d}{D} =\frac{\lambda}{\beta } =\frac{400*10^{-9} }{0.04}\)
d/D = 0.0001
Hence,
The ratio of the slit separation d, to the slit width D;
d/D = 0.0001
(b) Ratio of d & λ,
\(\frac{d}{\lambda} =\frac{D}{\beta }\)
\(\frac{d}{\lambda}=\frac{2.05}{0.04}\)
\(\frac{d}{\lambda}=51.25\)
Hence,
The ratio of the slit width to the wavelength of the light source λ;
d/λ = 51.25
(c) The wavelength of the light source,
\(\lambda=\frac{D\beta }{d}\)
\(\lambda=\frac{17*10^{-6} *0.04}{2.05}\)
\(\lambda=331.7nm\)
Hence,
The wavelength, in nanometers, of the light source;
λ = 331.7 nm
(d) The slit width,
\(d =\frac{D\lambda}{\beta }\)
\(d=\frac{400*10^{-9} *2.05}{0.04}\)
\(d=20.5 \mu m\)
Hence,
The slit width, in micrometers;
d = 20.5 µm
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Related Questions
what is the relevant similarity of the following argument?
"Tolerating a vicious dictator is like tolerating a bully on the block. If you let the bully push you around, sooner or later he will beat you up and take everything you have. If you let a dictator have his way, he will abuse his people and rob them of life and liberty. If you stand up to the bully just once or- better yet- knock him senseless with a stick, he will never bother you again. LIkewise, if you refuse to be coerced by a dictator or if you attack him, his reign will be over. Therefore, the best course of action for people oppressed by a dictator is to resist and attack."
a.
there are no relevant similarities
b.
tolerating a bully or dictator leads to further abuse
c.
the best course of action for people oppressed by a dictator is to resist and attack.
Answers
If Janine is a typical middle-aged woman, she is likely to be concerned about all of the following things except for one. Identify the option that is generally not a concern for the average middle-aged woman ?
Answers
For a typical middle-aged woman, there are certain priorities for them such as job stability, kids, and so on, but one factor that is generally not a concern for the average middle-aged woman is how to train for the Olympics
Who is a middle-aged woman?Midlife, the stage of a woman's life between childhood and elder maturity, has been called a time of transition. Women between the ages of 40 and 65 have been the focus of midlife research because they often go through a number of social, psychological, and biological shifts during this time.
Hence, it can be seen that while there are genuine concerns for a middle-aged woman, the answer choice that is generally not a concern for the average middle-aged woman is to become an Olympian.
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If Janine is a typical middle-aged woman, she is likely to be concerned about all of the following things except for one. Identify the option that is generally not a concern for the average middle-aged woman ?
train for the Olympics
have kids
raise a family
An object moves from position x = -1.88 m to x = -4.27 m. What is it's displacement?
Answers
Answer: Displacement = -2.39 m
Explanation: The displacement of an object is the difference between its final position and its initial position. In this case, the object moved from x = -1.88 m to x = -4.27 m, so its displacement is:
Displacement = Final position - Initial position
Displacement = (-4.27 m) - (-1.88 m)
Displacement = -4.27 m + 1.88 m
Displacement = -2.39 m
Therefore, the displacement of the object is -2.39 m.
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B. On a separate sheet of paper, describe the different ways of generating electric power.
Answers
Answer:
These all different sources of energy add to the store of electrical power that is then sent out to different locations via high powered lines. It is the energy from the sun that is harnessed using a range of technologies such as solar heating, solar architecture, photovoltaics, and artificial photosynthesis.
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An aseroid with a mass of 8.4x10^8 kg and a planet with a mass of 6.2x10^23 kg come close to each other by a distance of 8x10^5 m. what is the force of gravity that the asteroid and the planet have on each other ?
Answers
So, the force of gravity that the asteroid and the planet have on each other approximately
\( \boxed{\sf{5.43 \times 10^{10} \: N}} \)
IntroductionHi ! Now, I will help to discuss about the gravitational force between two objects. We already know that gravitational force occurs when two or more objects interact with each other at a certain distance and generally orbit each other to their center of mass. For the gravitational force between two objects, it can be calculated using the following formula :
\( \boxed{\sf{\bold{F = G \times \frac{m_1 \times m_2}{r^2}}}} \)
With the following condition :
F = gravitational force (N)G = gravity constant ≈ \( \sf{6.67 \times 10^{-11}} \) N.m²/kg²\( \sf{m_1} \) = mass of the first object (kg)\( \sf{m_2} \) = mass of the second object (kg)r = distance between two objects (m)Problem SolvingWe know that :
G = gravity constant ≈ \( \sf{6.67 \times 10^{-11}} \) N.m²/kg²\( \sf{m_1} \) = mass of the first object = \( \sf{8.4 \times 10^8} \) kg.\( \sf{m_2} \) = mass of the second object = \( \sf{6.2 \times 10^{23}} \) kg.r = distance between two objects = \( \sf{8 \times 10^5} \)What was asked :
F = gravitational force = ... NStep by step :
\( \sf{F = G \times \frac{m_1 \times m_2}{r^2}} \)
\( \sf{F = 6.67 \times 10^{-11} \times \frac{8.4 \cdot 10^8 \times 6.2 \cdot 10^{23}}{(8 \times 10^5)^2}} \)
\( \sf{F = \frac{347.374 \times 10^{-11 + 8 + 23}}{64 \times 10^10}} \)
\( \sf{F \approx 5.43 \times 10^{20 - 10}} \)
\( \boxed{\sf{F \approx 5.43 \times 10^{10} \: N}} \)
ConclusionSo, the force of gravity that the asteroid and the planet have on each other approximately
\( \boxed{\sf{5.43 \times 10^{10} \: N}} \)
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continuing the previous problem (calculate the potential energy of a 5.2 kg object positioned 5.8m above the ground.) If the object falls to the ground, what is its kinetic energy as it strikes the ground?
Answers
The potential energy of the object of mass 5.2 kg is 295.568 J and the kinetic energy as it strikes the ground is 295.568 J.
What is potential energy?potential energy is the energy that is stored in an object due to its position relative to some zero position.
To calculate the potential energy of the object, we use the formula below.
Formula:
P.E = mgh................. Equation 1Where:
P.E = Potential energy of the objectm = Mass of the objectg = Acceleration due to gravityh = HeightFrom the question,
Given:
m = 5.2 kgh = 5.8 mg = 9.8 m/s²Substitute these values into equation 1
P.E = (5.2×5.8×9.8)P.E = 295.568 JAs the object is just about to hit the ground, all the potential energy is converted to kinetic energy which is 295.568 J.
Hence, the potential energy of the object is 295.568 J and the kinetic energy as it strikes the ground is 295.568 J.
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Select the correct answer from each drop-down menu. Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision. On colliding, the truck applies a force on the stationary car, and the stationary car applies and opposite force on the truck. The front of the truck is designed to crumple in order to , which protects the well-being of the passengers.
Answers
The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.
Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.
During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.
The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.
By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.
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Part G
List several examples of applied force, normal force, and friction?
Answers
Examples of following forces mentioned -
Normal Force :- Book kept on the table , Girl standing on floor, ...infact every object experience a normal force in the universe.Applied Force :- this term literally means force responsible for the movements in the object or changes in the object , like throwing stones , playing ball , pushing an object , moving a pen from desk to chair..etc...Friction force :-Force responsible for the resistance in the flow of system's work , For example air resistance a type of obstruction experienced in air when a Paper ball is thrown from terrace of a society , Viscosity of honey is also an example of liquid friction / viscous drag...Sometimes friction is useful for the stability of universe. But some times its necessary. It is due to this force we walk without collapsing into the core of earth as earth is a market of gravitational field. To substantiate the field effect , friction is necessary to necessitate the life in planet. Rubbing of hands in winter season is also another example.To Know more about different forces -
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A flat sheet of paper of area 0.450 m2 is oriented so that the normal to the sheet is at an angle of 600 to a uniform electric field of magnitude 18 N C-1. What is the magnitude of the electric flux through the sheet? A. 3.22 N m2 C-1 B. 21.42 N m2 C-1 C. 5.04 N m2 C-1 D. 11.72 N m2 C-1 E. 4.05 N m2 C
Answers
The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).
The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.
In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²
(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:
Electric flux = Electric field strength × Area
Electric flux = 18 N C⁻¹ × 0.450 m²
Electric flux = 8.1 N m² C⁻¹
In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.
The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).
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imagine a single charge creating an electric field. what is the relationship between electric field strength and the distance from the charge?
a. direct
b. inverse
c. inverse squared
d. indirect
Answers
Answer:
b. inverse
Explanation:
\(E = \frac{V}{d} \\ d \: is \: the \: distance \\ \)
A baseball is hit almost straight up into the air with a speed of 22 m/s. Estimate (a) how high it goes, and (b) how long it is in the air. (c) What factors make this an estimate ?
Answers
(a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.
What is Acceleration due to gravity?Acceleration owing to gravity is the term used to describe the rate at which a body's velocity changes as a result of the earth's gravitational pull. In general, it is assumed that the acceleration caused by gravity is in the downward direction.
The acceleration caused by gravity has been calculated as, however as it changes from location to location, it may have an impact on the estimation.
You may have thought that the wind has no impact, but it can actually generate drag and even cause the ball to shift course.
Therefore, (a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.
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write down the value of
920 kg in g
Answers
Answer:
920000
Explanation:
Each kg contains 1,000 grams
Dory has a mass of 0.5 kg and she is has a net force of 1 N on her as she starts to swim
forward.
Her acceleration is
m/s2
Answers
Answer:
a = 2 m/s²
Explanation:
A plane is landing at an airport. The plane has a massive amount of kinetic energy due to it's motion. When the plane lands, it activates its brakes, causing it to slow down and eventually stop. The kinetic energy that the plane had is now gone. In keeping with the Law of Conservation of Energy, which of the following is the most likely explanation of what happened to that energy?
A. The brakes used a coil system to convert the kinetic energy into potential energy stored in the brakes
B. The kinetic energy of the plane gets pushed into the air in front of it due to drag forces, causing the air to move, thus transferring the kinetic energy from the plane to the air
C. The brakes create friction, which transformed the kinetic energy to heat energy that was dissipated to the surroundings
D. The kinetic energy is being converted into sound energy by the loud engines of the plane
Answers
Answer:
A. The brakes used a coil system to convert the kinetic energy into potential energy stored in the brakes
Explanation:
Based on the law of conservation of energy, the brakes used a coil system to convert the kinetic energy into potential energy stored in the brakes.
The law of conservation of energy states that energy is neither created nor destroyed in a system but it is transformed from one form to another.
As the airplane slows down, the kinetic energy which is presented in the motion of the plane is gradually converted to potential energy.
The potential energy is the energy due to the position of a body.
a single loop of wire with an area of 0.0940 m2 is in a uniform magnetic field that has an initial value of 3.80 t, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 t/s . for related problem-solving tips and strategies, you may want to view a video tutor solution of emf and current induced in a loop.
Answers
The EMF induced in a single wire loop with an area of 0.0940 m² is in a uniform magnetic field which has an initial value of 3.80 T, is perpendicular to the plane of the loop, and decreases at a constant rate of 0.190 T = 0.34 V. And the current induced in the loop = 0.57 A.
The EMF inducedInduced electromotive force or induced emf is the potential difference at the ends of the coil which will produce an induced electric current.
An induced electric current appears as long as there is a change in magnetic flux.
The equation is:
ε = d∅/dt
We have,
The area of the loop = 0.0940m²
The change in magnetic field with time = (3.80 T - 0.190 T) = 3.61 T
So, the EMF induced:
ε = d∅/dt
= {(0.0940m²) (3.61)} / 1
= 0.34 V
And the current induced in the loop =
I = ε/R
= 0.34 V / 0.600 Ω
= 0.57 A
The question is incomplete, it should be:
A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field that has an initial value of 3.8 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 T/s.
(a) What emf is induced in this loop?
(b) If the loop has a resistance of 0.600O, find the current induced in the loop.
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The rate at which work is done is known as which of the following?
A. Power,
B. Energy,
C. Momentum,
Answers
Answer:
A , power
Explanation:
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A floral clock in Japan has a radius of 15.5 m. If you ride a bike around
the clock, making 16 revolutions in 4.5 min, what is your average angular speed?
Answers
The average angular speed will be the ratio of total distance to total time which is 5.77 rad/s
What is Angular Speed ?Angular speed can be defined as the total angle turned per total time taken. It is measured in rad/s
Given that a floral clock in Japan has a radius of 15.5 m. If you ride a bike around the clock, making 16 revolutions in 4.5 min, what is your average angular speed ?
The circumference C of the circle = distance covered by the bike.
C = 2πr where r = 15.5 m
C = 2 × π × 15.5
C = 97.4 m
Total distance covered = 16 revolution × 97.4
Total distance covered = 1558.23 m
Total time taken = 4.5 × 60 = 270 s
Average angular speed = 1558.23 / 270
Angular speed = 5.77 rad/s
Therefore, your average angular speed is 5.77 rad/s
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Convert the following statement to the language used by physicists, "I am cold, please turn on the heat."
Answers
Answer:
Explanation:fog
An advertisement for a new fish food claims that lab studies show that fish grew three inches in three weeks while eating the food. Travis wondered if the food was worth the extra cost. To evaluate the claim in the advertisement, Travis should
Answers
Answer:
look at the data for the control group to see how much the fish grew without the new food.
Explanation:
i got it right
If I do 140j work in 7 seconds, how much did I produce
Answers
you produce about 20 W
Explanation:
Determine the time in which the work will be done. Here, we can take t = 60 s . Power is equal to work divided by time. In this example, P = 9000 J / 60 s = 150 W(example)
Answer:
Explanation:
To determine the power (or rate of work) produced, we can use the formula:
Power = Work / Time
Where:
Work = 140 J (joules)
Time = 7 seconds
So, we can plug in the values into the formula:
Power = 140 J / 7 s = 20 W (watts)
So, you produced 20 watts of power in 7 seconds.
It's important to note that work and power are different physical quantities. Work represents the amount of energy transferred, while power represents the rate at which that energy is transferred.
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The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
Answers
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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IS
When a 0.622 kg basketball hits
the floor, its velocity changes from
4.23 m/s down to 3.85 m/s up.
What impulse was given to the
ball?
(Unit = kg*m/s)
Remember: up is +, down is -
Enter
Answers
Answer:
5.03
Explanation:
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Over millions of years weathered rock soil dead plant and animal remains are pressed and cemented together under the ground forming rocks?
Answers
Answer:
true
Explanation:
The statement being made is completely true. This layer of rock is called a Sedimentary Rock level and is slowly formed over millions of years with minerals and organic remains from the bottom of the Oceans that may no longer be covered in water anymore. Since it is made up of all these minerals and remains, it is studied widely by Geologists and Archeologists to better understand the Earth's past.
what is an emergent curriculum
Answers
Answer:
Emergent curriculum is an early education approach where teachers design projects unique to a child or group of kids.
The wave in the liquid travels towards the surface at an angle. Fig 9.2 shows the centres of the compressions of the sound wave in liquid. Some compressions shown have reached the liquid-air boundary. The parts of these compressions in the air are not shown on Fig 9.2 These waves are also reflected at the boundary. Draw on the diagram the reflected wavefronts.
Answers
The reflected sound wavefronts at the given boundary are waves that have bounced off a surface and changed direction.
The reflected sound wavefront is shown in the attachment.
What are reflected wavefronts?A reflected wavefront is a wavefront that has bounced off a surface and changed direction. When a wave, such as a light wave or sound wave, encounters a surface, some of the wave energy is reflected back in the opposite direction.
An example of reflected sound wavefronts in water can be seen in underwater sonar imaging.
In sonar imaging, a sound wave is emitted from a source and travels through the water. When the sound wave encounters an object, some of the wave energy is reflected back toward the source.
Reflected wavefronts play an important role in many areas of science and engineering, such as optics, acoustics, and electromagnetism. They are used to model the behavior of waves in complex systems and to design and optimize devices such as mirrors, lenses, and antennas.
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A cat chases a mouse across a 0.66 m high table. The mouse steps out of the way, and the cat slides off the table and strikes the floor taylor (jdt3899) – Homework 3, 2d motion 22-23 – tejeda – (LermaHPHY1 1) 3 2.4 m from the edge of the table. The acceleration of gravity is 9.81 m/s 2 . What was the cat’s speed when it slid off the table?
Answers
The cat’s speed when it slid off the table will be 6.552 m/s
The branch of physics that defines motion with respect to space and time, ignoring the cause of that motion, is known as kinematics. Kinematics equations are a set of equations that can derive an unknown aspect of a body’s motion if the other aspects are provided.
a = -g = 9.8 m\(/s^{2}\)
using equation of motion
x = u(horizontal )*t + 1/2 * a (horizontal) * \(t^{2}\)
since , a (horizontal) = 0
x = u(horizontal )*t
u = x / t equation 1
similarly
y = u(vertical)*t + 1/2 * a (vertical) * \(t^{2}\)
u(vertical) = 0
t = \(\sqrt{2y / a}\) equation 2
substituting the value of equation 2 in equation 1
u = x / \(\sqrt{2y / a}\)
= \(\sqrt{\frac{-9.81}{2*-0.66} } * 2.4\)
= 6.552 m/s
The cat’s speed when it slid off the table will be 6.552 m/s
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In science, volume may be measured in
O centimeters
O milliliters
O kilograms
O kilometers
Answers
Answer: milliliters
Explanation:
centimeters and kilometers are measurements of length/distance. Kilogram is a measurement of weight, and millimeters is a measure of how much space an object takes up.
An empty bottle has a mass of 35.00 grams. When filled with water, it has a mass of 98.44 grams. Of the same bottle is filled with a different fluid, the mass is 89.22 grams. What is the specific gravity of this other fluid
Answers
Answer:
Specific gravity of other fluid = .854 (Approx)
Explanation:
Given:
Mass of water = 35 g
Mass of filled bottle with water = 98.44 g
Mass of filled bottle with fluid = 89.22 g
Computation:
Mass of water = 98.44g - 35g = 63.44g
Density of water = 1000 g/L
Volume of bottle = 63.44/1000 = 0.06344L
Mass of other liquid = 89.22g - 35g = 54.22g
Density of other liquid = 54.22g/0.06344L = 854.665826 g/L
Water has a specific gravity = 1
So , specific gravity of other fluid
1000 / 854.665826 = 1 / specific gravity of other fluid
Specific gravity of other fluid = .854 (Approx)
1. A 20 Ohm resistor and a 5 Ohm lamp are connected in a single path, with a 50 amps.
What type of circuit is this:
What is the total resistance of the circuit?
What is the total voltage in this circuit?
What is the current?
Answers
The circuit given is a series resistance circuit.
1) The given circuit is a series resistance circuit.
2) Resistance, R₁ = 20 Ω
Resistance, R₂ = 5 Ω
The effective resistance of the circuit is given by,
Reff = R₁ + R₂
Reff = 20 + 5
Reff = 25 Ω
3) Total resistance of the circuit, R = 25 Ω
Current flowing through the circuit, I = 50 A
Therefore, the voltage across the circuit is,
V = IR
V = 50 x 25
V = 1250 V
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You have two capacitors and want to connect them across a voltage source (battery) to store the maximum amount of energy. Should they be connected in series or in parallel?
Answers
Answer:
In parallel
Explanation:
Ctotal = C1 + C2 + ... + Cn