The dimensions of the variables can be determined by analyzing the exponents of the fundamental dimensions (length, time) in their respective units. The dimension of a quantity is represented by its power of length (L) and time (T).
Let's consider the given variables:
A has dimensions LT, which means it has a power of 1 for length and 1 for time.
B has dimensions [tex]L^2T^{-1}[/tex], which means it has a power of 2 for length and -1 for time.
C has dimensions [tex]LT^2[/tex], which means it has a power of 1 for length and 2 for time.
To determine the dimensions of n and m, we need to equate the dimensions on both sides of the equation:
[tex]A = B^n \times C^m[/tex]
Comparing the dimensions, we get:
1 = 2n + m (for length)
1 = -n + 2m (for time)
Solving these two equations, we can find the values of n and m. Subtracting the second equation from twice the first equation, we get:
3 = 5n
Therefore, n = 3/5.
Substituting this value of n into the first equation, we can solve for m:
1 = 2(3/5) + m
1 = 6/5 + m
m = 1 - 6/5
m = -1/5
Thus, the dimensions of n are 3/5 and the dimensions of m are -1/5.
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During a heated game of bocce ball, Ursula is attempting to knock the pallino (the small, white target ball) away from where her opponent's balls lie on the ground. She can do this by throwing her ball so that it lands directly on top of the pallino, which is
x=17 m
horizontally downcourt from where she throws. If she releases the ball
y=0.90 m
above the ground at an angle of
θ=23
∘
above the horizontal, then how much time will the ball spend airborne before hitting the pallino? Both balls may be treated as point particles in this problem.
Please answer by 8 pm!!! Thank you so much!
How long before the expansion of the universe causes our earth to drift away from the sun?
The expansion of the universe does not affect the relative position of astronomical bodies within galaxies.
What is the universe?The universe is described as all of space and time and their contents, including planets, stars, galaxies, and all other forms of matter and energy.
We know for a fact that the universe is expanding, but this does not alter the distance between the earth and the sun. It also does not have a bearing from the distance between atoms.
The expansion of the universe is known to be partly caused by the Big Bang, and partly caused by dark energy.
The stars are more or less static relative to a spacetime fabric that is itself expanding, hence the expansion should not be thought of as stars flying away from each other in a static spacetime fabric.
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Answer:
The relative location of astronomical bodies within galaxies is unaffected by the expansion of the universe. True, the cosmos is expanding, but this has no effect on the distance between the Earth and the Sun.
Explanation:
What is HEV configuration?
HEV (Hybrid Electric Vehicle) configuration is a type of vehicle powertrain that combines a traditional internal combustion engine (ICE) with an electric motor.
HEV technology uses a battery to store electricity generated from the ICE, which is then used to power the electric motor when needed.
This can result in improved fuel efficiency and reduced emissions compared to conventional ICE vehicles.
Additionally, HEV configurations can often provide enhanced performance due to the combination of ICE and electric power.
HEV (Hybrid Electric Vehicle) configuration is a technology that combines a conventional internal combustion engine with an electric motor. This hybrid system is designed to provide improved fuel efficiency and reduce emissions.
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Please help, will give brainiest
QUESTION 1.
Element X on Planet Qatar has three known isotopes: X-121 with a relative abundance of 43.2%, X-123 with a relative abundance of 53.1%, and X-129 with a relative abundance of 3.70%. What is the average atomic mass in amu of Element X given this information?
QUESTION 2.
How did Rutherford's experiment change the way scientists had previously viewed atomic structure? How did this pave the way for subsequent changes up to and including the currently accepted quantum mechanical atomic model?
QUESTION 3.
How is percent abundance related to average atomic mass?
a) The relative atomic mass is 122.35 amu
b) The Rutherford model introduced the planetary model
c) The percentage abundance shows how much of that mass is present.
What is the relative atomic mass?We have to know that as what we need here is the relative atomic mass of the element X then we must have to be able to look at the weighted average of all the isotopes that have been shown to belong to the element that is in question called X.
Thus we would have;
(121 * 0.432) + (123 * 0.531) + (129 * 0.037)
= 52.27 + 65.31 + 4.773
= 122.35 amu
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Three objects with a mass of M exert gravitation forces on each other. What is the direction of the net force on mass B? Explain your reasoning.
When three objects with a mass of M exert gravitation forces on each other, the direction of the net force on mass B will vary according to position of three masses.
What is gravitation?
The force of attraction between any two bodies is known as gravitation. There is an attraction between every thing in the cosmos, but most of the time it is too faint to be noticed due to the extreme distance between the objects.
Along the line connecting the centers of the two bodies, the gravitational force acts. Hence, the direction of the net force on mass B will vary according to position of three masses.
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If it takes 1998 to heat 150g of a substance from 25^oC to 55^oc what is the specific heat of substance
The specific heat capacity of the substance is 444 J/kg.°C.
What is specific heat capacity?The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C).
To calculate the specific heat capacity of the substance, we use the formula below
Formula:
c = q/mΔt...................... Equation 1Where:
c = Specific heat capacity q = Amount of heatm = MassΔt = Change in temperatureFrom the question,
Given:
q = 1998 Jm = 150 g = 0.15 kgΔt = 55-25 = 30°CSubstitute these values into equation 1
c = 1998/(0.15×30)c = 1998/4.5c = 444 J/kg.°CHence, the specific heat capacity is 444 J/kg.°C.
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A bowling ball is dropped off of the side of a building. Ignore the effects of air resistance. As the ball continues to fall freely, the kinetic energy of the ball.
The ball continues to fall, its kinetic energy will increase.
What is kinetic energy?Kinetic energy is the energy an object possesses due to its motion. It is the energy associated with an object’s speed and mass, and is the energy that an object has because of its movement. Kinetic energy can be converted into other forms of energy, such as heat, light, or sound. It can also be used to do work, such as moving objects or powering machines. Kinetic energy is a form of mechanical energy, which is energy that is associated with the motion or position of an object. Kinetic energy is related to the work done on an object, and it increases as the object’s speed increases. Kinetic energy can be calculated using the formula KE = ½mv2, where m is the mass of the object and v is the velocity of the object.
The kinetic energy of the ball will increase as it falls, because it is gaining speed due to gravity.
As it falls, it accelerates at a rate of 9.8 m/s^2, and its kinetic energy is equal to its mass multiplied by the square of its velocity.
Therefore, as the ball continues to fall, its kinetic energy will increase.
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A police car is heading towards you with its siren blaring. Explain what is
happening to the wavelength as the police car is moving towards you and what is
happening to the wavelength as the firetruck moves away from you.
The sound waves become louder and more frequent as a police car approaches a person on the street. This person notices the siren's pitch rising. The sound waves become less frequent as they spread apart and accelerate away from the police car.
What changes in wavelength do you notice when a siren is coming?Therefore, even though the siren emits waves with a constant frequency, as it gets closer to us, the observed frequency rises and we hear a higher pitch. The observed frequency and pitch decrease as it moves away after passing us.
When the police car approaches, what frequency will you hear?A police car's siren has a pure tone and operates at a frequency of 1125 Hz.
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Find vm the muzzle velocity of the ball (i. E. , the velocity of the ball at the spring's equilibrium position y=0 ).
This means that the ball does not have any velocity when it is at the spring's equilibrium position.
What is equilibrium?Equilibrium is a state of balance where opposing forces or influences are equal and balanced. It is a situation where there is no tendency for change in a system. Equilibrium can be reached in a variety of situations in economics, physics, chemistry, biology, and other fields. In economics, equilibrium is the state at which the market prices of goods and services are stable and consistent with the amount of goods and services that are being supplied and demanded. In physics, equilibrium is a state where all forces acting on an object are balanced and no net force is present. In chemistry, equilibrium is a state where the rates of the forward and reverse reactions of a chemical reaction are equal. In biology, equilibrium is a situation where the forces of natural selection are balanced and no net change in the genetic composition of a population is observed.
The muzzle velocity of the ball can be calculated using the equation v = √2gy,
Where v is the velocity of the ball, g is the acceleration due to gravity, and y is the height of the spring's equilibrium position.
In this case, the muzzle velocity of the ball is equal to √2g*0, or 0 m/s, since the spring's equilibrium position is at y=0.
This means that the ball does not have any velocity when it is at the spring's equilibrium position.
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2. Consider a vector 10 units long at an angle of 120 degrees from the positive x axis. Find the x and y components of this vector.
Please help physics brain
x component = 10 Cos 120° = -5
y component = 10 Sin 120° = 5√3
What is a vector component?In vector algebra, vectors are added, subtracted, and multiplied using vector components. On diagrams, vectors are typically indicated by an arrow. The direction and magnitude of the vector are shown by the tip of the arrow and its length, respectively.
The use of vector components enables us to split a single vector quantity into two (or more) simpler scalar quantities. In vector algebra, vectors are added, subtracted, and multiplied using vector components.
Another method for locating vector components is to use the angle measured in the opposite direction from the +x axis. Then, the x-component will always be cosθ and the y-component will always be sinθ. Hence, the x component will be -5, and the y component will be 5√3.
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Calculate the gravitational force between two people, 60 kg and 70 kg, respectively,
separated by 2.5 meters.
According to the question The Answer is F = 7.008 x 10^-8 N. Because every item in the cosmos that has mass pulls on every other object with a gravitational force, there is a gravitational force.
How to Calculate the gravitational force between two peopleThe gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force. However, all mass-bearing objects are pulled toward one another by gravity
The Newton's Law of Universal Gravitation According to Isaac Newton, the gravitational pull between any two objects is inversely proportional to the square of their separation (r) and is directly related to their respective masses (m 1 and m 2). The formula is
F g = G m 1 m 2/ r 2.
G is the universal gravitational constant in this equation.
G = 6.67 × 10 − 11 N ⋅ m 2 / k g 2 .
This is based on the assumption that two people are "standing" 2 meters apart in outer space, free from any other substantial gravitational forces.
F = Gm1m2/r^2
where r is the distance between the centers of mass.
G = 6.6743 × 10^-11 m^3•kg^-1•s^-2 (N•m^2•kg^-2)
m1 = 60 kg
m2 = 70 kg
r = 2 m
F = 6.6743 x 10^-11 N•m^2 kg^-2•(60•70) kg^2/ (2 m)^2
F = 7.008 x 10^-8 N
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Mars has two moons, Phobos and Deimos. Based on the image shown,
describe the force vectors representing the gravitational interactions
between Phobos, Deimos, and Mars. Based on the image, choose the
option that correctly identifies the missing terms, in order of their
appearance in the sentences. Mars has
force vectors pointing in
vector on Phobos from the force of gravity of Deimos is
the force vector on Deimos from the force of gravity of Phobos.
gravitational
The magnitude of the force
Answer:
3
Explanation:
seems more reasonable because of the fact that the other moon is on the other gravitational pull because of the outer ring and are the exact opposite sides
a body travels from rest with acceleration 8ms-2. Find it velocity when it has covered a distance of 100meters
40 m/s
We have the equation of motion v^2-u^2= 2as ------------- ( i)
where v = final velocity which is unknown let it be x m/s
u = initial velocity which is 0 m/s ...( The body starts from rest )
a = Acceleration gained by body = 8 m/s^2
s stands for distance covered in till v velocity which is 100 meters.
So by using equation( i)
x^2- 0 = 2*100*8x^2 = 1600x = Sqrt(1600)x = 40So the velocity of the body will be 40 m/s when it had a covered distance of 100 meters.
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Kinetic energy is the energy of motion. How could you determine how much kinetic energy an object has?.
Motion is created by kinetic energy. K.E. = 1/2 mv2 can be used to calculate an object's kinetic energy.
What is being moved?Motion is the change in an object's location with relation to time. Motion is described mathematically using terms like displacement, velocity, distance, kinetic energy, and speed.
Kinetic energy:Kinetic energy is essentially the energy underlying motion and can be observed in the movement of objects or subatomic particles. Every atom or object in motion contains kinetic energy.
A human walking, a baseball flying through the air, food falling from a desk, and an alpha object in an electric field are all example of kinetic in action.
The equation for calculating the angular momentum of an object with mass m and motion is K.E. = 1/2 mv^2.
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A machine gun fires 25-g bullets at the rate of 4 bullets per second. The bullets leave the gun at a speed of 1000 m/s. What is the average recoil force experienced by the machine gun?.
Answer:
100 N
Explanation:
For ONE bullet ( .025 kg)
fired to 1000 m/s in .25 s ( four per second)
acceleration = 1000 m/s / .25 s = 4000 m/s^2
then F = ma
= .025 kg * 4000 m/s^2 = 100 N
bike is traveling with a velocity of 22 m/s and has a mass of 25 kg. How much kinetic
energy does the bike have? PSc. 3.1.2
Answer: 12,100 Joules of Kinetic Energy
Explanation:
Kinetic energy is a measure of how much energy something has because it's moving. To calculate the kinetic energy of a bike, you need to know how heavy it is and how fast it's going. We use a formula that looks like this:
(1/2) x the weight of the bike (in kilograms) x the speed of the bike (in meters per second) x the speed of the bike (in meters per second)
So if we have a bike that weighs 25 kilograms and is going 22 meters per second, we can plug those numbers into the formula like this:
(1/2) x 25 x 22 x 22
And we find out that the bike has 12,100 Joules of kinetic energy.
A 1.8 kg rock initially at rest loses 390 J of potential energy while falling to the ground. Assume that air resistance is negligible.
Calculate the kinetic energy that the rock gains while falling.
The rock gains 412 J of kinetic energy as it falls.
What is a kinetic example?
Any moving item uses kinetic energy, such as a person walking, a baseball being thrown, a piece of food falling from the a table, or a charged particle inside an electric field.
What makes it kinetic energy?
Describe kinetic energy. A particle or an item that is in motion has a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is performed on it by exerting a net force.
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A 6-kg bowling ball sits on top of a building that is 120 meters tall.
Circle one: KE / GPE / both
Show your work for finding the values of each type of energy the object has:
The gravitational potential energy of the bowling ball is 7,056 J.
What is the gravitational potential energy of the bowling ball?The gravitational potential energy of the bowling ball is calculated by applying the following formula;
P.E = mgh
where;
m is the mass of the bowling ballh is the height of fall of the bowlingg is acceleration due to gravityP.E = ( 6kg x 9.8 m/s² x 120 m )
P.E = 7,056 J
Thus, the gravitational potential energy of the bowling ball is the energy possessed by the ball due to its height above the ground level.
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How does magnetic energy transform into
kinetic energy
Answer:
Magnetic energy can be transformed into kinetic energy in a variety of ways.
Explanation:
One way that this occurs is through electromagnetic induction. This occurs when a changing magnetic field induces an electric current in a conductor, such as a wire. This induced current creates a force that can move the conductor, thus transforming the magnetic energy into kinetic energy. This process is used in electric generators, which convert the kinetic energy of a turbine into electrical energy by turning a coil of wire inside a magnetic field.
Another way that magnetic energy can be transformed into kinetic energy is through the operation of an electric motor. An electric motor uses the interaction between a magnetic field and an electric current to create a force that can rotate a shaft, thus transforming the electrical energy into kinetic energy. Electric motors are used in a wide range of applications, including transportation, manufacturing, and household appliances.
Magnetic energy can also be transformed into kinetic energy through magnetohydrodynamics (MHD), which involves the interaction of a fluid with a magnetic field. When a fluid such as a gas or liquid moves through a magnetic field, it can generate a force that can propel the fluid, thus transforming the magnetic energy into kinetic energy. This process is used in some forms of propulsion, including maglev trains and MHD generators.
In summary, magnetic energy can be transformed into kinetic energy through the interaction of a magnetic field with a conductor, an electric current, or a fluid, which creates a force that can move an object, thus transforming the magnetic energy into kinetic energy.
calculate the movement of a 2000-kg truck travelling 19m/s. show your work
Answer: 38000N
Explanation:
Movement -> inertia -> force -> rate of change of momentum
Momentum = mv
= mass x velocity
= 2000 x 19
= 38000N
Answer:
38,000 kg·m/s
Explanation:
Did you mean "momentum"? If so, here is the solution:
Momentum = p = mv = (2000 kg)(19 m/s) = 38,000 kg·m/s
9. **A golfer can drive a ball with an initial speed of 30.0 m/s. If the tee and the green are separated by 80m, but on the same level, at what angle should the ball be driven (Hint: recall that 2cos(x)sin(x)=sin(2x))?
Answer:
Range formula:
R = V^2 sin 2θ / g
sin 2θ = R g / V^2 = 80 m * 9.80 m/s^2 / (30 m/s)^2 = .871
2θ = 60.6 deg
θ = 30.3 deg
Check: 30 * cos 30.3 = 25.9 m/s horizontal speed
t = 80 m / 25.9 m/s = 3.08 sec to reach target
H = Vy0 t - 1/2 g t^2
Vy0 = 30 * sin 30.3 = 15.1 m/s initial vertical speed
H = 15.1 * 3.08 - 4.9 * 3.08^2 = 46.5 - 46.5 = 0
Ball will be back at starting height after 3.08 s
A 0.010 kg marble moving right at 3.0 m/s hits a 0.020 kg marble moving left at -3.0 m/s. If the larger marble continues to roll to the left at -1.0 m/s after the collision, what does the smaller marble take off at?
The velocity of the smaller marble after collision is -0.33 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the smaller marble after collision, we use the formula below.
Formula:
V = [(m'v+mu)-mU]/(m+m')................. Equation 1Where:
V = Velocity of the smaller marble after collisionm = Mass of the bigger marblem' = Mass of the smaller marblev = Initial velocity of the smaller marbleu = Initial velocity of the bigger marbleU = Final velocity of the bigger marbleFrom the question,
Given:
m = 0.02 kgm' = 0.01 kgu = - 3 m/sv = 3 m/sU = -1 m/sSubstitute these values inton equation 1
V = [0.02(-3)+(0.01×3)-0.02(-1)](0.01+0.02)V = (-0.06+0.03+0.02)/0.03V = -0.01/0.03V = -0.33 m/sHence, the smaller marble take off at -0.33 m/s.
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VT 101.00 V, T = ?, R₁ = ?
V₁?, I₁=?, R₁= ?
V₂= 33.00 V, 12= ?,
R₂= ?
V3- 37.00 V, 13= ?,
R3= 12.00 Ohms
Solve for all the necessary parts of the circuit to answer the following question:
What is the voltage drop at (V₁) which is the voltage drop at resistor one?
Answer:
To solve for the voltage drop at V₁, we can use Ohm's law, which states that the voltage drop across a resistor (V) is equal to the current (I) flowing through it multiplied by the resistance (R) of the resistor.
V = I * R
The information given in the question is as follows:
VT = 101.00 V
T = Unknown
R₁ = Unknown
V₁= Unknown
I₁=Unknown
R₂= Unknown
V₂= 33.00 V
I₂ = 12.00 Amperes
R₂ = Unknown
V₃ = 37.00 V
I₃ = 13.00 Amperes
R₃ = 12.00 Ohms
The first step is to calculate the current flowing through the circuit by using the formula Power= Voltage * Current
P = VT
I = P/VT = 101/101 = 1 Amperes
Now we can use Ohm's Law to find the voltage drop across R1:
V₁ = I * R₁ = 1 * R₁
To find the resistance of R1, we can use the formula:
T = V₁ + V₂ + V₃
R₁ = (T - V₂ - V₃) / I
Substituting the values,
101 = V₁ + 33 + 37
V₁ = (101 - 33 - 37) = 31 Volts
So, the voltage drop at V₁, which is the voltage drop at resistor one, is 31 Volts.
Explanation:
Anthony walk to the pizza place for lunch. He walk 1 km eat then 2 km outh and then 1 km eat again. What ditance did he cover and what wa hi diplacement
Answer:
Explanation:
3km
What is the formula for calculating magnitude?
The formula for calculating magnitude is |v| =√(x2 + y2)
A vector formula's magnitude can be used to condense the numerical value of a particular vector. A vector has a magnitude and a direction. This magnitude of a vector formula provides a summary of the individual vector measurements along the x, y, and z axes. The symbol for it is |v|.
|v| =(x2 + y2) is the formula to calculate the magnitude of a vector (in two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.
|V| = (x2 + y2 + z2) is the formula to calculate the magnitude of a vector (in three-dimensional space) V = (x, y, z).
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50 points and brainliest!
In autoimmune disorders, such as lupus, the immune systems cannot tell the difference between foreign substances and its own cells. Health officials estimate that over five million people have been diagnosed with lupus worldwide
OBJECTIVES
Learn about lupus.
Write a four-paragraph (400 word) report on what you have learned.
Directions
Use the library and other reference materials to research lupus. Then, write a 400 word report on what you have learned. Be sure to include symptoms, causes, and treatments.
Lupus is a kind of disease in which the bodies immune system attacks its own cells.
What is the immune system?We know that the immune system is the system that is in the body that is able to fight off the invaders that come into the body. As such, the immune system is the system that attacks any disease causing organism that comes into the body.
We know that foreign cells can be able to cause diseases in the body and they can be able to affect the balance of the cells that are in the body. Now, we can see that there are some circumstances in which the cells of the body begins to fight themselves.
This implies that the immune system of the body sees its own cells as the enemies and then begins to attack them and as such the person that has this condition is said to have an auto immune disorder.
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The wind on which planet can blow up to 1,500 miles per hour?
The wind on Jupiter planet can blow up to 1,500 miles per hour.
What is planet?A planet is a large celestial body that orbits a star, usually a sun, and has its own gravity. Planets are classified by size, composition, and distance from the star. They are made up of rock, metal, or gas and can contain an atmosphere. Planets can have satellites, or moons, which orbit them. They can also have asteroids, comets, and other objects around them. Some planets have rings, like Saturn, and some have many moons, like Jupiter. Planets are fascinating to study and explore.
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pls help I need the answer
Answer:
You need to plug in the values
(C) 100(-1/2)^0 = 100
100(-1/2) = -50
100(-1/2)^2 = -25
100(-1/2)^3 = 100 * -1/8 = -12.5
Kamala made a table to describe parts of the electromagnetic spectrum. A 3-column table with 4 rows. The first column labeled wave has entries visible, microwaves, infrared, gamma rays. The second column labeled frequency has entries medium, low, low, very low. The third column labeled wavelength has entries medium, long, long, very short. What mistake did kamala make? gamma rays should have a very high frequency, not a very low frequency. Visible light should have a low frequency and a long wavelength. Infrared light should have a short wavelength, not a long wavelength. Microwaves should have a high frequency and a short wavelength.
The mistake that Kamala made from the table is that Gamma rays should have a very high frequency, not a very low frequency.
The electromagnetic spectrum is what?The grouping of electromagnetic radiations in the electromagnetic spectrum is done according to diminishing or increasing frequency or wavelength.
The following are some examples of electromagnetic radiations depending on increasing wavelength:
Gamma raysX raysultrasound wavesobservable lightIR radiationMicrowaveswaves on radioHow do gamma rays work?These are the radiation waves produced by the radioactive disintegration of atomic nuclei.
These rays have high frequencies. The frequency happens 1019 times every second.
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Answer: gamma rays should have a very high frequency, not a very low frequency.
Explanation: