Answer:
a) because this is in series, we have:
the total resistance is 3 + 1 = 4 (ohm)
b) the curren in the circuit is 12/4 = 3 (A)
c) the voltage in R = 3 ohm is 3.3 = 9 (V)
the voltage in R = 1 ohm is 12 - 9 = 3 (V)
15. [-/10 Points) DETAILS SERPSE10 1.A.0P.031.MI. A high fountain of water is located at the center of a circular pool as shown in thi pool and measures its circumference to be 23.8 m. Next, the student stands at th to gauge the angle of elevation of the top of the fountain to be g - 54.0°. How hi mA high fountain of water is located at the center of a circular pool as shown in the figure below. A student walks around the pool and measures its circumference to be 23.8 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation of the top of the fountain to be p = 54.0°. How high is the fountain?
The fountain is 5.213m high.
Any shape's perimeter, or route around it, may be described by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's boundary is. The measurement of the circle's boundaries is known as the circumference or perimeter of the circle.circumference of pool = 23.8m2πr = 23.8mr = 3.788mThe angle formed between the horizontal line and the line of sight of a certain observer is known as the angle of elevation. The angle of elevation, as implied by its name, refers to the angle created when an item is viewed from below by the observer and their line of sight.angle of elevation of fountain = 54°let height of fountain be "h"Tan(54°) = h/rh = Tan(54°)*rh = 1.37638192 * 3.788h = 5.213mTo learn more about the angle of elevation, visit :
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Which individual or group had perhaps the most profound effect on establishing social work as a specialized practice
Answer:
Which individual or group had perhaps the most profound effect on establishing social work as a specialized practice
Explanation:
what’s the difference between entrepreneurial and bureaucratic organizations?
:
Answer:
A
Explanation:
A student is trying to push a large box of books across the carpeted floor of a university residence room. The student is exerting a horizontal force of magnitude 95 N, but the box does not budge. The magnitude (at that moment) of the frictional force exerted by the floor on the box is:a.0 Nb.less than 95 Nc.greater than 95 Nd.95 N
Answer: c. greater than 95 N
Explanation:
From the information given,
applied force = 95 N
The frictional force opposing the motion is the static friction. The applied force needs to be equal to or greater than this frictional force for the box to budge. Thus, the magnitude (at that moment) of the frictional force exerted by the floor on the box is
c. greater than 95 N
a question was asked by a teacher to a student. She gave the student a jumbled word and told him to make words out of it. The jumbled word is gzeysktqix. Now you know what to do. see ya!
When the teacher asked the student to make words out of the jumbled word gzeysktqix, the student was being tested on his ability to unscramble words. Unscrambling words is the process of taking a word or series of letters that are out of order and rearranging them to form a word that makes sense.
When trying to unscramble a word, it is important to look for any patterns that can help identify smaller words within the jumbled letters. This can help make the process easier and quicker. For example, in the jumbled word gzeysktqix, one might notice that the letters "sktqix" appear together.
This could indicate that these letters could potentially form a word. By looking at the remaining letters, one could notice that the letters "g", "z", "e", and "y" could also form smaller words. After some rearranging, the letters can be unscrambled to form the words "sky", "zig", "sex", and "yet". These are just a few examples, as there are likely many other words that can be formed from this jumbled word.
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A person stands at a point 245 m in front of the face of a sheer cliff. 1f the person shouts, how much time will elapse before an echo is heard? (Assume the speed of sound is 344 m/s.)
Answer: time = 1.42 seconds
Explanation:
The formula for calculating time is expressed as
time = distance/speed
From the information given,
distance of person from cliff = 245
total distance travelled by echo in returning = 245 x 2 = 490
speed of sound = 344 m/s
Thus,
time = 490/344
time = 1.42 seconds
please help i’ll mark you
Answer:
What should I do. reply quickly for a quick answer
Answer: put a line across the paper
Explanation:
When a low-pressure gas of hydrogen atoms is placed in a tube and a large voltage is applied to the end of the tube, the atoms will emit electromagnetic radiation and visible light can be observed. If this light passes through a diffraction grating, the resulting spectrum appears as a pattern of four isolated, sharp parallel lines, called spectral lines. Each spectral line corresponds to one specific wavelength that is present in the light emitted by the source. Such a discrete spectrum is referred to as a line spectrum.
What is the wavelength of the line corresponding to n =4 in the Balmer series? Express your answer in nanometers to three significant figures. EVO AV Om ? X (n) = 4.86.10? By the early 19th century, it was found that discrete spectra were produced by every chemical element in its gaseous slale. Even though these spectra were found to share the common feature of appearing as a set of isolated lines, it was observed that each element produces its own unique pattern of lines. This indicated that the light emitted by each element contains a specific set of wavelengths that is characteristic of that element. Submit Previous Answers Request Answer X Incorrect; Try Again; 19 attempts remaining
Answer:a) λ = 4.862 10⁻⁷ m, b) λ = 4.341 10⁻⁷ m
Explanation:
The spectrum of hydrogen can be described by the expression
in the case of the initial state n = 2 this series is the Balmer series
a) Find the wavelength for n = 4
let's calculate
= 1,097 10⁷ ()
\frac{1}{ \lambda} = 1.097 10⁷ 0.1875 = 0.2056 10⁷
λ = 4.862 10⁻⁷ m
b) n = 5
\frac{1}{ \lambda} = 1,097 10⁷ ()
\frac{1}{ \lambda} = 1.097 10⁷ 0.21 = 0.23037 10⁷
λ = 4.341 10⁻⁷ m
A 75.0 kg man pushes on a 500,000 kg wall for 250 s but it does not move.
a. How much work does he do on the wall? ____________
b. How much energy is used?__________
c. How much power is exerted?____________
Since no work is done, the power exerted is zero. Therefore, the man exerts no power on the wall.
What is force?In physics, force is defined as any action that can change the motion of an object or cause an object to accelerate. Force is a vector quantity, meaning that it has both magnitude (size or strength) and direction. The unit of force in the International System of Units (SI) is the Newton (N), which is defined as the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg × 1 m/s^2). Force can be measured using a variety of instruments, such as spring scales, strain gauges, or force plates. Some common types of forces include gravitational force, electromagnetic force, frictional force, and normal force. The study of forces and their effects on the motion of objects is known as mechanics and is a fundamental concept in physics.
Here,
a. The man does not do any work on the wall because the wall does not move. Work is only done when there is a displacement in the direction of the force applied.
b. Since no work is done, no energy is used or transferred.
c. The power exerted by the man can be calculated using the formula:
Power = Work / Time
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15. A 1200 kg car has a velocity of 15 m/s at ground level (h=0, PE = 0).
What is the maximum height it can go up?
a.
b. What is the velocity of the car if it goes up a hill 3 meters high?
a. To determine the maximum height the car can go up, we need to use conservation of energy. At ground level, the car has kinetic energy equal to 1/2 mv^2, where m is the mass of the car and v is its velocity.
As the car moves up, its kinetic energy will be converted into potential energy, which is equal to mgh, where h is the height above ground level and g is the acceleration due to gravity (9.8 m/s^2). At the maximum height, all of the car's kinetic energy will have been converted into potential energy, so we can set these two expressions equal to each other and solve for h:
1/2 mv^2 = mgh
h = (1/2 v^2)/g
h = (1/2) (15 m/s)^2 / 9.8 m/s^2
h = 11.5 meters
Therefore, the maximum height the car can go up is 11.5 meters.
b. To determine the velocity of the car if it goes up a hill 3 meters high, we can use conservation of energy again. This time, the car will have both potential energy (due to its height above ground level) and kinetic energy. At the bottom of the hill, the car has kinetic energy equal to 1/2 mv^2, where m is the mass of the car and v is its velocity. As the car goes up the hill, its kinetic energy will be converted into potential energy, which is equal to mgh, where h is the height of the hill (3 meters) and g is the acceleration due to gravity (9.8 m/s^2). At the top of the hill, all of the car's kinetic energy will have been converted into potential energy, so we can set these two expressions equal to each other and solve for v:
1/2 mv^2 = mgh
v = sqrt(2gh)
v = sqrt(2 * 9.8 m/s^2 * 3 meters)
v = 7.7 m/s
Therefore, the velocity of the car if it goes up a hill 3 meters high is 7.7 m/s.
a. To find the maximum height the car can go up, we'll use the conservation of mechanical energy principle. At the maximum height, the car's kinetic energy (KE) will be converted to gravitational potential energy (PE). The formula for KE is (1/2)mv^2 and for PE is mgh.
At ground level, KE = (1/2)(1200 kg)(15 m/s)^2 = 135000 J, and PE = 0.
At the maximum height, KE = 0 and PE = mgh. So, we can set up the equation:
135000 J = (1200 kg)(9.81 m/s^2)(h)
Solving for h, we get:
h = 135000 J / (1200 kg * 9.81 m/s^2) ≈ 11.48 m
So, the maximum height the car can go up is approximately 11.48 meters.
b. To find the velocity of the car when it goes up a hill 3 meters high, we can use the conservation of mechanical energy principle again:
Initial KE + Initial PE = Final KE + Final PE
(1/2)mv^2_initial + 0 = (1/2)mv^2_final + mgh
(1/2)(1200 kg)(15 m/s)^2 = (1/2)(1200 kg)v^2_final + (1200 kg)(9.81 m/s^2)(3 m)
Solving for v_final, we get:
v_final ≈ 13.43 m/s
So, the velocity of the car when it goes up a hill 3 meters high is approximately 13.43 m/s.
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You drive down the road at 32 m/s (72 mi/h ) in a car whose tires have a radius of 38 cm . What is the period of rotation of the tires? Through what angle does a tire rotate in one second?
The period of rotation of the tires of radius 38 cm is 0.0746 s.
The angle that the tire rotate in one second is 84.21 rad.
v = 2 π r / T
v = Tangential velocity
r = Radius
T = Time period
v = 32 m / s
r = 38 cm = 0.38 m
T = 2 π r / v
T = 2 * 3.14 * 0.38 / 32
T = 0.0746 s
ω = θ / T
ω = v / r
ω = Angular velocity
θ = Angle of rotation
T = 1 s
θ = v T / r
θ = 32 * 1 / 0.38
θ = 84.21 rad
Therefore,
The period of rotation of the tires of radius 38 cm is 0.0746 s.
The angle that the tire rotate in one second is 84.21 rad.
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Which phrase describes velocity?
O A. A quantity with magnitude only
O B. A quantity with no units
OC. A quantity with direction only
O D. A quantity with magnitude and direction
Answer:
Answer D : A quantity with magnitude and direction
Explanation:
Recall that velocity is a vector quantity, given that not only its magnitude is important, but also its direction. It is based on a vector difference over time.
☑️ D. A quantity with magnitude and direction.
We all know that vectors specify both the aspectes, viz, Direction and Magnitude. Thus, velocity, which is a vector, specify both these.
A 500 kg airplane wing is hanging on a rope from the ceiling. What is the tension force being supplied by the rope?
a.5000
b.2500
c.250
d.500
Answer:
a. 5000 N
Explanation:
If gravity is 10 m/s² and the wing is motionless.
F = ma = 500(10) = 5000 N
How has information technology impacted the economy? Choose three answers.
Information technology has greatly impacted the economy, leading to increased productivity, efficiency, and innovation across industries.
The widespread adoption of information technology in the business world has led to a significant transformation in the way companies operate. Through the use of computers, software, and other digital tools, businesses are now able to streamline their operations, automate processes, and access vast amounts of data that can inform decision-making.
This has resulted in increased productivity, efficiency, and cost savings for companies. Additionally, information technology has facilitated the rise of new industries, such as e-commerce and digital marketing, while also enabling existing industries to adapt and innovate in response to changing market conditions.
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--The complete question is, How has information technology impacted the economy?--
to combine two displacements that are in opposite directions the magnitudes
To combine two displacements that are in opposite directions ,the magnitudes subtract from one another.
Vector AdditionWe can determine the sum of vector quantities using graphical and analytical methods. The graphical method is divided into two, namely the polygon and the parallelogram method.
Likewise, the analytical method is divided into two, namely the cosine formula method and the vector analysis method. Later, the result of the vector addition is called the resultant vector.
Graphical Method:
The graphical method on vector quantities is a method or way to determine the resultant vector by measuring it. You can measure the length of a vector with a ruler, while the size of an angle or direction is measured with a protractor.
Measuring the resultant vector with this graphical method requires precise scales and angles. With the graphical method, vector addition is done by representing the vector in a diagram.
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How a sounds pitch and frequency pitch are related
ANSWER:
They are directly related, that is, the higher the pitch of the sound, the higher the frequency and vice versa.
STEP-BY-STEP EXPLANATION:
It is often said that the sensation of a frequency is commonly related to the pitch of a sound. The ability of humans to perceive tone is associated with the frequency of the sound wave striking the ear.
Since it is said that a high-pitched sound corresponds to a high-frequency sound wave and a low-pitched sound corresponds to a low-frequency sound wave.
A carousel is (more or less) a disk of mass, 15,000 kg, with a radius of 6.14. What torque must be applied to create an angular acceleration of 0.0500 rad/s^2?round to 3 significant figures
(Plssss help me im suffering from severe brainrot)
To calculate the torque required to create an angular acceleration, we can use the formula:
Torque = Moment of Inertia × Angular Acceleration
The moment of inertia of a disk can be calculated using the formula:
Moment of Inertia = (1/2) × Mass × Radius^2
Given:
Mass = 15,000 kg
Radius = 6.14 m
Angular Acceleration = 0.0500 rad/s^2
First, calculate the moment of inertia:
Moment of Inertia = (1/2) × Mass × Radius^2
Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2
Next, calculate the torque:
Torque = Moment of Inertia × Angular Acceleration
Torque = Moment of Inertia × 0.0500 rad/s^2
Now, let's plug in the values and calculate:
Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2
Moment of Inertia ≈ 283,594.13 kg·m^2
Torque = 283,594.13 kg·m^2 × 0.0500 rad/s^2
Torque ≈ 14,179.71 N·m
Rounding to three significant figures, the torque required to create an angular acceleration of 0.0500 rad/s^2 is approximately 14,180 N·m.
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mechanical energy defintion
Answer: Mechanical energy is the energy that is possessed by an object due to its motion or due to its position.
(The energy acquired by the objects upon which work is done)
Age, height, and weight are examples of numerical data.
a turntable is rotating at 3313rpm . you then flip a switch, and the turntable speeds up, with constant angular acceleration, until it reaches 78rpm . part g suppose you are asked to find the amount of time t , in seconds, it takes for the turntable to reach its final rotational speed. which of the following equations could you use to directly solve for the numerical value of t ?
Once t can be located, more details are required.You would need further information (namely, the amount of the rotational motion ) before you could discover a numerical value for t; knowing and 0 would not be sufficient to enable you to solve for t.
What does rotation about just a fixed axis entail?When every particle in a body revolves in a circle around a single line, this is known as pure rotational motion.The rotational axis is this line.Then, at the same time, the same deflection occurs in all of the radii vectors from of the shaft to all of the particles.
What quantity is regarded when the rotation's axis is fixed—angular velocity?A spinning object's angular velocity is defined as a vector quantity in more sophisticated investigations of rotational motion.This vector has magnitude and points exteriorly along the axis of rotation for an object revolving anticlockwise about a fixed axis.
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A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and frictional force between the box and surface is 100 n, calculate the distance covered.
If A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and the frictional force between the box and surface is 100 n, Then the distance covered by the box is 10.89 meters.
To calculate the distance covered by the box, we need to analyze the forces acting on it and apply the work-energy principle.
Given:
Mass of the box, m = 210 kg
Tension in the string, T = 1300 N
The angle of inclination, θ = 35°
Frictional force, f = 100 N
Initial speed, u = 0 m/s
Final speed, v = 10 m/s
First, let's resolve the tension force into components parallel and perpendicular to the incline. The parallel component of the tension force can be calculated as:
T_parallel = T * cos(θ)
Next, let's calculate the net force acting on the box along the incline. The net force is given by:
Net force = T_parallel - f
Now, using Newton's second law, we can calculate the acceleration (a) of the box:
Net force = m * a
From the given information, we have the final velocity (v), initial velocity (u), and acceleration (a). We can use the following kinematic equation to calculate the distance covered (s):
v^2 = u^2 + 2as
Rearranging the equation, we get:
s = (v^2 - u^2) / (2a)
Now, let's plug in the given values and calculate the distance covered:
T_parallel = 1300 N * cos(35°) ≈ 1067.35 N
Net force = 1067.35 N - 100 N = 967.35 N
a = (967.35 N) / (210 kg) ≈ 4.61 m/s^2
s = (10 m/s)^2 - (0 m/s)^2 / (2 * 4.61 m/s^2) ≈ 10.89 m
Therefore, the distance covered by the box is approximately 10.89 meters.
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From the concepts you have learned in this module, how are you going to assess
the Earth's condition to support life? Explain your answer.
1. Temperature
2. Water
3. Atmosphere
4. Energy
5. Nutrients
Answer:
Find the explanation below.
Explanation:
Earth is properly designed to support life. This is seen in the favorable temperature that supports life, the water cycle that recycles water for plant and animal life, the atmosphere, energy, and nutrients.
1. Temperature: The temperature which is regulated by the different weather conditions such as the rains, snows, dry seasons all help to maintain a stable condition for life.
2. Water: The water cycle through processes like evaporation, condensation, precipitation, helps to ensure that there is never a lack of water in the earth. The numerous water bodies like the seas, oceans, rivers, lakes, also provide a habitat for some living things. Water makes up 70% of the earth.
3. Atmosphere: The atmosphere is a mixture of gases in the right proportions that are necessary for life. Oxygen, Nitrogen, Carbon, etc are released and inhaled by man and other living things. They are also involved in so many biochemical reactions that help in metabolism and catabolism.
4. Energy: Energy generated from the sun and within the earth is stored in various forms and is always conserved. This energy is converted to different states such as the potential, chemical, kinetic, mechanical forms to get work done and to release heat.
5. Nutrients: Though cycles such as the carbon, nitrogen, oxygen, and phosphorous cycles, the earth maintains its stock of essential nutrients that help to sustain life.
An interdisciplinary approach encompassing climatology, oceanography, environmental science, and other fields of study is necessary to evaluate the Earth's capacity to support life.
Temperature: Monitoring and analyzing climate data from numerous sources, including weather stations, satellites, and ocean buoys, is necessary to determine the Earth's temperature. To understand how temperature patterns vary over time, scientists look at long-term trends, seasonal variations, and severe events. They forecast future temperature increases and their possible effects on life and ecosystems using global climate models.
Water: Monitoring freshwater availability, water quality, and water distribution throughout various regions are all part of the assessment of Earth's water resources. Studies of precipitation patterns, data on ice melting from polar regions, and measurements of water levels in lakes, rivers, and aquifers are all conducted by researchers. Testing for toxins, pollutants, and chemical compositions is part of evaluating water quality to make sure it adheres to acceptable standards for both ecological and human health.
Atmosphere: scientists measure and research a number of factors, such as greenhouse gases, air quality, and atmospheric pressure, in order to evaluate the Earth's atmosphere. Carbon dioxide (CO2), methane (CH4), and other greenhouse gases are measured at monitoring sites throughout the globe to better understand how they contribute to climate change. Pollutants like particle matter and ozone, which have an influence on both human health and ecosystems, are measured by air quality monitoring stations.
Energy: studying diverse energy sources and their effects on the environment and ecosystems is necessary to evaluate the amount of energy present on Earth. Scientists assess the usage of non-renewable energy sources like fossil fuels as well as renewable energy sources like solar, wind, hydro, and geothermal energy. To create sustainable energy plans that support life on Earth, they examine energy consumption trends, carbon emissions, and energy efficiency.
Nutrients: studying nutrient cycles and availability in soils, oceans, and terrestrial ecosystems is necessary for evaluating the availability of nutrients in the Earth's ecosystems. To determine the nutrient levels for agriculture and plant growth, researchers examine soil samples. In order to gauge the productivity and availability of nutrients for marine life, they also research marine ecosystems.
Hence, an interdisciplinary approach encompassing climatology, oceanography, environmental science, and other fields of study is necessary to evaluate the Earth's capacity to support life.
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How do astronomers determine the surface temperature of stars? *
Answer:
To the extent that Stellar spectra look like blackbodies, the temperature of a star can also be measured amazingly accurately by recording the brightness in two different filters. To get a stellar temperature: Measure the brightness of a star through two filters and compare the ratio of red to blue light.
Explanation:
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
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One of the greatest dangers in a tornado is from flying objects. A 15 pound piece of lumber can turn into a flying missile that could severely damage walls and homes. A piece of steel with a mass of 200 pounds and travelling at the same velocity would cause even more damage. Select any evidence from the list below that you could use to explain why a 200 pound piece of steel would cause more damage than a 15 pound piece of wood travelling at the same velocity.
As the kinetic energy of an object increases, the force it can exert on another object decreases.
As the kinetic energy of an object increases, the force it can exert on another object increases.
Objects with more mass have less kinetic energy.
Objects with more mass have more kinetic energy.
As the velocity of an object increases, its kinetic energy decreases.
As the velocity of an object increases, its kinetic energy increases.
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After combining components of two vectors to be added, it was found that the resultant vector has an x-component of -177 cm and a y.component of -214 cm
What angle measured counterclockwise from the positive x-axis will properly describe the direction of the resultant vector? (Round to the nearest tenth of a
degree.)
0 219,6
O 50.4
оооо
O 3204
0 230.4
The angle measured counterclockwise from the positive x-axis is θ = 50.4°
How to get the angle correspondent to a vector?
Here we know that the vector is:
V = < -177 cm, -214 cm>
To get the correspondent angle for this vector, we can think that this is the hypotenuse of a right triangle, such that the y-component and x-component are the cathetus.
Then, to get the angle (measured counterclockwise from the positive x-axis) is given by:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Tan(θ) = (-214cm)/(-177 cm)
Using the inverse tangent function we get:
Atan(Tan(θ)) = Atan((-214cm)/(-177 cm))
θ = 50.4°
So the angle is 50.4°
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What is the requirement for the photoelectric effect? Select one: a. The incident light must have enough intensity b. The incident light must have a wavelength shorter than visible light c. The incident light must have at least as much energy as the electron work function d. Both b and c
Answer:
c. The incident light must have at least as much energy as the electron work function
Explanation:
In photoelectric effect, electrons are emitted from a metal surface when a light ray or photon strikes it. An electron either absorbs one whole photon or it absorbs none. After absorbing a photon, an electron either leaves the surface of metal or dissipate its energy within the metal in such a short time interval that it has almost no chance to absorb a second photon. An increase in intensity of light source simply increase the number of photons and thus, the number of electrons, but the energy of electron remains same. However, increase in frequency of light increases the energy of photons and hence, the
energy of electrons too.
Therefore, the energy of photon decides whether the electron shall be emitted or not. The minimum energy required to eject an electron from the metal surface, i.e. to overcome the binding force of the nucleus is called ‘Work Function’
Hence, the correct option is:
c. The incident light must have at least as much energy as the electron work function
Which is one characteristic shared by electromagnetic and mechanical waves?
Both have a frequency and amplitude.
Both move due to particles bumping into each other.
Both are formed by charged particles.
Both occur as a result of a disturbance.
The common characteristic between electromagnetic and mechanical waves is :
( A ) Both have a frequency and amplitude
Electromagnetic waves vs mechanical wavesElectromagnetic waves can be propagated through a vacuum while a mechanical waves must be propagated through a medium such as water.
Examples of Electromagnetic waves includes
Radio signals and microwavesExample of mechanical waves include :
water ripples sound wavesWhile both mechanical and electromagnetic waves have a frequency and amplitude.
Hence we can conclude that The characteristic shared by electromagnetic and mechanical waves is : Both have a frequency and amplitude
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How do I solve this problem
Answer:
it is light
Explanation:
the arrow that says light is on the glass it must be near from tungsten
A wire passes 51 C of charge every 4.32 s. How many amperes of current is passing through the wire during this time?
ANSWER:
11.8 amperes
STEP-BY-STEP EXPLANATION:
Given:
Charge (q) = 51 C
Time (t) = 4.32 s
We can calculate the current using the following formula:
\(\begin{gathered} I=\frac{q}{t} \\ \\ \text{ We replacing} \\ \\ I=\frac{51}{4.32} \\ \\ I=11.8\text{ A} \end{gathered}\)Which means that they are 11.8 amperes