The uncertainty momentum of the electron is 5.28×10-24 kg.m/s and the kinetic energy is 95.5eV .
What do you understand by Heisenberg uncertainty principle?
Heisenberg uncertainty principle states that it is very difficult or impossible to measure the exact position as well as the momentum of a given object. This is mainly based on the wave particle duality of matter. This principle holds a significant value in the quantum world. This principle is for those particles which holds both particle as well as wave nature.
a) Heisenberg uncertainty principle :
ΔxΔp≥h/4π
where x = uncertainty position
p= momentum
h = planck's constant (6.63×10-34)
uncertainty in momentum = Δp
Δp= h/Δx4π
Given, Δx = 0.1 nm = 1.0 ×10-11 m
⇒6.63×10 -34/4π×1.0 ×10-11 m
⇒5.28×10-24 kg m/s
b) Δp = mΔv
m = mass of electron=9.11×10-31 kg
Δv= Δp/m
⇒5.28×10-24/9.11×10-31 kg
⇒5.79×10 6 m/s
Kinetic energy = 1/2 mv²
⇒1/2(9.11×10-31 kg)(5.79×10 6 m/s)²
⇒1.53×10 -17 J/ 1.6×10 -19 ×1 eV
⇒95.5eV
c) Yes, it gives a reasonable value for the kinetic energy of an electron in an atom.
To know more about Heisenberg uncertainty, click in the link given below
https://brainly.com/question/16941142
#SPJ4
What happens when the vector dna is digested with ecori? what does this tell you about the number and distribution of ecori sites in the vector?.
A vector is a DNA can be defined as a molecule which is used as a vehicle to artificially carry foreign genetic material into another cell, where it can be replicated and/or expressed.
What does this tell you about the number and distribution of ecori sites in the vector?
When a vector DNA is digested with restriction endonuclease such as EcoRI, the DNA molecule is cleaved at unique sites. EcoRI recognizes the six-base-pair sequence GAATTC in the vector DNA. On the number of sites this sequence is present in the vector, the DNA molecule is cleaved at those site. For example if this sequence is present at five sites in a vector DNA, then endonuclease EcoRI will digest the DNA molecule into six fragments ranging from 3.6 to 21.2 kilobases long.
This is how we can tell about the number and distribution of ecori sites in the vector.
To know more about DNA from the given link
https://brainly.com/question/8806489
#SPJ4
A 4 kg block is pushed up an incline that makes a 30o angle with the horizontal, as shown in the figure. Once the block is pushed a distance of d=5.0 m up the incline, the block remains at rest. What is the approximate change in the gravitational potential energy of the block-
Answer: 98 J
Explanation:
The starting GPE is 0 because the block is at h=0 (bottom of the incline).
The block moves 5.0 m up the incline, so you have to figure out its height (h) relative to the bottom of the incline, where h=0.
sin30 = h/5
solve for h: h = sin30 x 5 = 2.5m (height of the block, 5 m up the incline)
Now you can solve for GPE = mgh
GPE = (4 kg)(9.8 m/s2)(2.5 m) = 98J
California loveeeeeeee?
Help me, please!!!!!!!!
If another object (a can of beans) was dropped from 12 meters in free fall, how long will it take for that object to fall to the ground?
It will take the object a total time of 1.564 seconds to fall from a height of 12m.
What is time?Time is the apparent progression of events from past to future.
To calculate the time it takes the object to fall to the ground, we use the formula below.
Formula:
H = ut+gt²/2Where:
H ⇒ Heightt ⇒ Timeu ⇒ Initial velocityg ⇒ Acceleration due to gravityFrom the question,
Given:
H = 12 mu = 0 (drop from a height)g = Constant = 9.8 m/s²Substitute these values into equation 1
12 = (0×t)+(9.8t²/2)Solve for the value of t
t² = (12×2)/9.8t = √(24/9.8)t = 1.564 secondsHence, it will take the object 1.564 seconds to fall to the ground.
Learn more about time here: https://brainly.com/question/25800303
#SPJ1
Describe how the capacitance of a parallel plate capacitor changes with the geometry of the capacitor.
A parallel capacitor's geometrical characteristics determine its capacitance. the separation of the plates. The capacitance reduces as the distance between the plates grows.
What are capacitance and its measure?Farad, denoted by the letter F, is the SI unit for electrical capacitance. In large part, the unit bears the name of English physicist Micheal Faraday. The capacity of a body or thing to hold an electrical charge is often referred to as farad. The SI base units used to describe it are s4A2m-2kg-1.
Exactly why are the capacitance used?They are effective at lessening voltage pulsation. The capacitor is charged in a parallel circuit when a positive voltage is applied, and it discharges when a low voltage is applied. While most electronic circuits use DC, the electricity that comes out is AC.
To know more about capacitance visit:
https://brainly.com/question/14746225
#SPJ4
A tandem bike is a bike designed for two riders. Rider 1 is pushing on the pedals with a force of 30 N and Rider 2 is pushing on the pedals with a force of 20 N. The total mass of both riders and the tandem bike is 150.0 kg. What is the approximate acceleration of the riders on the bike?
The approximate acceleration of the riders on the bike is 3 m/sec².
What is acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.
Given total force applied = 30 + 20 = 50 N
Mass of two riders = 150 Kg
So, the acceleration = 150 /50 = 3 m/sec².
The approximate acceleration of the riders on the bike is 3 m/sec².
To learn more about acceleration refer to the link:
brainly.com/question/12550364
#SPJ1
which of the following statements correctly describe the principal quantum number, n? select all that apply
-n can have any positive whole number number
-the value of n determines the shape of an orbital
-the value of n are restricted by the value of l
-the higher the value of n, the lower the energy value
-the lower the value of n, the greater the probability that the electron is closer to the nucleus
n can have any positive whole number, the lower the value of n, the greater the probability that the electron is closer to the nucleus.
Atomic nuclei include electrically superb protons and electrically neutral neutrons. those are held together with the aid of the strongest regarded fundamental pressure, called the robust force. The nucleus makes up lots much less than. 01% of the volume of the atom, but commonly contains more than 99.9% of the mass of the atom.
A nucleus is a group of debris referred to as protons, which are undoubtedly charged, and neutrons, which can be electrically neutral. Protons and neutrons are in flip made from particles referred to as quarks.
The nucleus controls and regulates the sports of the cellular (e.g., growth and metabolism) and consists of the genes, and systems that comprise the hereditary facts. Nucleoli are small in our bodies and are regularly seen inside the nucleus. The gel-like matrix wherein the nuclear components are suspended is the nucleoplasm.
To learn more about the nucleus visit here:
brainly.in/question/51348731
#SPJ4
A- In the mobile in (Figure 1) , what is the inertia of the giraffe Mgir in terms of the inertia Mm of the monkey?
(Mg/Mm)
B- In the mobile in (Figure 1) , what is the inertia of the elephant Mel in terms of the inertia Mm of the monkey?(Me/Mm)
The inertia of the elephant Mel in terms of the inertia Mm of the monkey is 2Mm
the moment = 0
from monkey & giraffe
Mm*3d = Mg*d
Mg = 3*Mm
-------------------
for Me & Mg
(Mg + Mm)*2d = Me*4d
(3Mm+Mm)*2d = Me*4d
4*Mm*2 = 4*Me
Me = 2Mm
Until some force changes the speed or direction of an object, it will continue to move in the same direction. This is known as inertia. The phrase is correctly understood as a shortened form of "the principle of inertia," which is a concept that Newton discussed in his first law of motion. Unless influenced by an unbalanced force, an object at rest stays at rest, and an object in motion stays in motion while maintaining a constant speed and a straight line. An object at rest has a tendency to stay at rest, and an object in motion has a tendency to continue moving in a straight line at a constant speed.
Learn more about inertia here:
https://brainly.com/question/3268780
#SPJ4
Which option is correct and explain why (in detail)? Also, ignore the graph I drew to the right.
If two balls are projected with initial velocity v and 2v respectively, the ball that is projected with a velocity of 2v would reach the ground first.
What is a projectile?The term projectile has to do with the kind of motion that uses a parabolic path. The parabolic path is a path that is curved. For instance, if you trough a ball from one point to the other, the ball does not follow a straight path, the path of the ball is curved.
The time that it takes for the ball to reach the ground from the point of projection is dependent on the initial velocity of the ball. Thus, if the ball has been projected with a higher initial velocity then the ball would reach the ground faster and vice versa.
Thus, given that the velocity 2v is twice the velocity v, the ball that is projected at this velocity would reach the ground first.
Learn more about projectile:https://brainly.com/question/11422992
#SPJ1
Two objects of masses 20 kg and 8 kg are hung from the ends of a stick that is 70 cm long and has marks every 10 cm, as shown. ABCDEFG 10 20 30 40 50 60 20 kg 8 kg If the mass of the stick is negligible, at which of the points indicated should a cord be attached if the stick is to remain horizontal when suspended from the cord? 1. E 2. F 3. B 4. G 5. A 6. C 7. D
Option 3. is the correct answer.
Mass of object 1 at one end = 20 kg
Mass of object 2 at the other end = 8 kg
The total length of a stick = 70 cm
The mass of the stick is negligible
As we know that x = m₁x₁+m₂x2/m₁ + m₂
x = 20(0) + 8(70)/20 + 8
As the first object is at the start so distance is equal to 0
x = 20 cm
Point B is the point from which the stick remains horizontal when suspended from the cord.
You can learn more about masses attached to a string from the following link;
https://brainly.com/question/14400067
#SPJ4
Please help its finals! I’ll give BRAINLIEST
Answer:
Before the rubber ball moves, it's stationary. Therefore the energy is Potential. As it rolls, the energy is transferred equally between the ball itself and the ramp, making the energy transferred Kinetic Energy.
Explanation:
How many total atoms are in 1.0 moles of H20
Answer:3 atoms
Explanation:
each molecule of water contains 2 H and 1 O atom = 3 atoms, so there are approximately 1.8 x 10^24 atoms in a mole of water.
The number of atoms that exists in one mole of water (H₂O) is 1.8 x 10²⁴.
What is an atom?The atom is the smallest unit of matter that may be broken into smaller pieces without generating electrically charged particles. Furthermore, it is the tiniest substance with properties like chemical elements. Consequently, the atom is the fundamental unit of chemistry.
Vacuum space constitutes the majority of an atom. The remaining component consists of a positively charged nucleus consisting of protons and neutrons around a negatively charged electron cloud.
Given:
The mole of water, [tex]m = 1 mole[/tex]
One mole of water contains 6.02 x 10²³ molecules of water.
But each molecule of water has 2 Hydrogen and 1 Oxygen atom.
In H₂O, there are 2 + 1 = 3 atoms.
Thus, there are 3 x 6.02 x 10²³ atoms in 1 mole of water, which is equal to 1.8 x 10²⁴ atoms.
Therefore, the number of atoms present in one mole of H₂O is 1.8 x 10²⁴.
To know more about atoms:
https://brainly.com/question/13518322
#SPJ2
what linear speed must a 0.0494-kg hula hoop have if its total kinetic energy is to be 0.111 j? assume the hoop rolls on the ground without slipping.
If the total kinetic energy of the hoop is to be 0.111 J, then the hoop's linear speed must be 1.24 m/s.
What is kinetic energy ?
kinetic energy is a form of energy that an particle has by reason of it's motion. If we want to accelerate an object then we must apply a force. The average kinetic energy of all the molecule assumed to be directly proportional to the absolute tempreture of the gas.
The Kelvin tempreture of a substance is directly proportional to the average kinetic energy of the particles of the substance.
This is the reason why measure of the average kinetic energy of the molecule of a material called tempreture.
To know more about kinetic energy click-
https://brainly.com/question/25959744
#SPJ4
a 0:20 cm radius cylinder, 3:0 cm long, is wrapped with wire to form an inductor. at the instant the magnetic field in the interior is 5:0 mt, the energy stored in the field is about:
The energy stored in the field is 3.75*10-6J.
What is magnetic field?
The area in which magnetism acts, called the magnetic field, is where a magnetic substance or a moving electric charge is located. An illustration of the magnetic field that shows how a magnetic force is dispersed both within and outside of a magnetic substance.
What is inductor?
A wire coil called an inductor is used to store energy in the form of a magnetic field. Inductor energy storage capacity is increased by the coil's typical wrapping of an iron-containing core.
Energy density stored=B2/2?
=5*5*10-6/4*?*10-7
=125/4?
Total energy stored= Energy density stored*Volume
=?r2*h (125/4?)
=3.75*10-6J
Therefore, the energy stored in the field is 3.75*10-6J.
Learn more about magnetic field from the given link.
https://brainly.com/question/26257705
#SPJ4
The international space station has a mass of 1. 8 × 105 kg. A 70. 0-kg astronaut inside the station pushes off one wall of the station so she accelerates at 1. 50 m/s2. What is the magnitude of the acceleration of the space station as the astronaut is pushing off the wall? give your answer relative to an observer who is space walking and therefore does not accelerate with the space station due to the push.
What is the magnitude of the acceleration of the space station as the astronaut is pushing off the wall?
Question Parameter(s):
The International Space Station has a mass of 1.8 × 105 kg. A 70.0-kg.
The station pushes off one wall of the station so she accelerates at 1.50 m/s2.
Generally, the equation for the Force is mathematically given as
F = ma
Therefore
F = 70(1.50)
F= 105 N
In conclusion, the space station force
F = ma
105 = 1.8 * 10^5 a
a = 5.83 * 10^{-4} m/s^2
what is the maximum speed vmax that the cylinder can move along its circular path without slipping off the turntable?
The cylinder may move along its round path at the maximum speed vmax without falling off the turntable, which is 0.343 m/s. For a mass m body at speed v in a circular of radius r, the centripetal force Fc is Fc| = m v 2/r.
How quickly can you go?The fastest a person can go is considered to be at maximum speed. Velocity is what is meant by the term "acceleration," and since velocity has both a greater acceleration, athletes' acceleration can fluctuate depending on whether they are accelerating in one direction or both.
What is the best way to determine a wave's maximum speed?Equation Speed = Wavelength x Frequency describes how wave speed relates to wave wavelength and wave frequency. Given the wavelength and frequency, this equation could be used to determine the wave speed.
To know more about maximum speed visit:
https://brainly.com/question/10236290
#SPJ4
A car of mass 1000 kg travelling at 8.0 m / s collides with a lorry of mass 3000 kg that is travelling at 2.0 m / s in the same direction. After colliding, the two vehicles stick together. What is their speed after the collision? A 2.0 m / s B 2.5 m / s C 3.5 m / s D 5.0 m / s
3.5 m / s is their speed after the collision.
Mass of a car = 1000 kg,
Velocity car = 8 m/s,
Mass lorry = 3000 kg,
Velocity lorry = 2 m/s.
u = initial velocity,
v = final velocity.
m₁ = 1000 kg, m₂ = 3000 kg, u₁ = 8 m/s, u₂ = 2 m/s
(1000)(8) + (3000)(2) = (1000 + 3000)·v
8000 + 6000 = 4000·v
4000·v = 14000
v = 3.5 m/s
velocity (often abbreviated as "s") is a scalar variable that describes how lots an item's vicinity modifications over time or how plenty it modifications in step with unit of time.
The average speed of an item in a period of time is the distance traveled with the aid of the object divided by way of the length of the length.
Time divided with the aid of distance are the rate-associated metrics.. The meter in keeping with second (m/s) is the SI unit of pace, while the kilometer consistent with hour (kph) is the most usually used unit of speed in each day existence.
To know more about speed visit : brainly.com/question/93357
#SPJ9
When light enters water from air perpendicularly (i.e. along the normal), which of the following happen (may be more than one)
It bends away from the normal
It's speed gets smaller
Its wavelength increases
Its frequency decreases
Its wavelength decreases
Its frequency increases
Its speed increases
Its speed gets smaller and its wavelength decreases.
As light travels from one medium to another, its wavelength drops, and as a result, its speed also reduces (although the frequency is unaffected). The ratio of the speed of light in a vacuum to that in a second medium with a higher density is the refractive index. It is also known as the index of refraction. In mathematics and descriptive writing, the letter n or n' is most frequently used to represent the refractive index variable. The degree to which a light beam is deflected (or refracted) when it enters or exits a substance varies with its refractive index. The frequency of light travelling through a material affects its refractive index. The highest frequencies have highest values of n. For instance, the refractive index of violet light is roughly 1% higher than that of red light in common glass.
You can learn more about the refractive index from the following answer;
https://brainly.com/question/13088981
#SPJ4
What is KE and PE? Please explain me in detail
A mass m is at a height h above the surface of a planet of mass M and radius R.
The gravitational field strength at height h is g. By considering the gravitational force acting on mass m, derive an equation from Newtor's law of gravitation to express g in terms of M, R, h and the gravitational constant G.
Answer:
Explanation:
Given:
m - mass
h - height
M - mass of the planet
R - planet radius
G - Gravity constant
_________
g - ? Acceleration of free making
Newton's law of universal gravitation:
F = G·m·M / (R +h)
g = F / m
g = G·M / (R +h)
Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?.
Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. The other quantities they should measure in each trial of the experiment will be mass and acceleration
As we know that Force depend upon mass as well as acceleration , hence it is important to take measurements of mass and acceleration . Since ,
according to newton's third law
F = ma
where
m = mass
a = acceleration
To learn more about newton's third law here :
https://brainly.com/question/23772134
#SPJ4
HELP HELP HELP I NEED HELP QUICK PLEASE
A chunk of ice breaks off a glacier and falls 30. 0 meters before it hits the water. Assuming it falls freely (there is no air resistance), how long does it take to hit the water?.
The ice chunk that breaks off a glacier and falls 30. 0 meters will take around 2.47 seconds to hit the water.
State the equations of motions?
The fundamentals of an object's motion, such as its position, velocity, or acceleration at different periods, are described by kinematics equations of motion or Newton’s equations of motions. An object's motion in 1D, 2D, and 3D is controlled by these three equations of motion.First law of equation: v = u + at
Second law of motion: s = ut + / at2
Third law of motion: is v^2=u^2 + 2as
The informations given in the question are
The height from where chunk fell = h = 30.0 m
The initial velocity of the ice chunk that broke off the glacier = u = 0 m/s
Let us assume that the time taken to cover 30.0 m of height is t
Considering the acceleration due to gravity = g =9.8 seconds
With the help of second equation of motion, we find
=> h = ut + 1/2 gt²
=> 30 = 0 + 1/2 × 9.8 × t²
=> t² = 30 x 2/9.8
= 6.122
=> t = 2.47 second
Hence, The ice chunk that breaks off a glacier and falls 30. 0 meters will take around 2.47 seconds to hit the water.
To learn more about equations of motions from the given link
https://brainly.com/question/27821888
#SPJ4
An astronaut is traveling in a spacecraft in outer space in a straight line at a constant speed of 0.500c. Which of the following effects would she experience?
A.Her heart rate would change.
B.Some of the dimensions of her spacecraft would be shorter.
C.None of those answers is correct.
D.She would find it harder to breathe.
E.She would feel heavier.
If an astronaut is traveling in a spacecraft in outer space in a straight line at a constant speed of 0.500 c, she would feel heavier.
According to relativity, the faster one moves, the more mass they have. If one travels at speed of light, their mass becomes infinite and would have to slow down.
M = Mo / √ [ 1 - ( c² / v² ) ]
M = Mass of body at a given speed
Mo = Mass of body at rest
c = Speed of light
v = Speed of body
Here, v = 0.5 c
M = Mo / √ [ 1 - ( c² / ( 0.5 c )² ) ]
M = Mo / √ - 0.75 / 0.25
M = Mo / √ - 3
M > Mo
Therefore, f an astronaut is traveling in a spacecraft in outer space in a straight line at a constant speed of 0.500c, she would feel heavier.
To know more about relativity
https://brainly.com/question/28289663
#SPJ4
A ball is held at rest at the top of a hill. The ball is then released and starts rolling down the hill. At the bottom, it reaches level ground and keeps rolling along the ground. Consider the level ground at the bottom of the hill as zero height.
The correct answer is the movement of the ball because of conversation into kinetic energy.
Why here potential energy is changed to Kinetic energy?
The ball's stored potential energy becomes kinetic energy as it begins to move and rolls down the slope. The movement of the objects is caused by this kinetic energy.
Due to its height above the ground, the ball has gravitational potential energy when it is at the top of a hill.
Due to its velocity as it rolls down the hill, the potential energy is changed into kinetic energy.
Hence due to the ball's collision with the wall, it abruptly stops, converting its kinetic energy into internal energy.
To learn more about potential energy is changed to Kinetic energy from the given link
https://brainly.com/question/24933254
#SPJ4
Which of the following changes would result in a clockwise emf in the loop? When you consider each option, assume that no other changes occur.
Check all that apply.
a) The magnitude of B increases.
b) The magnitude of B decreases.
c) The loop rotates through 45 degrees about the vertical axis (vertical dotted line) shown in the diagram.
d) The loop rotates through 45 degrees about the horizontal axis (horizontal dotted line) shown in the diagram.
e) The loop moves to the right while remaining in the plane of the page.
f) The loop moves toward you, out of the page, while remaining parallel to itself.
The conditions which would result in clockwise emf in loop are
a) The magnitude of B increases
c)The loop Rotates through 45 degrees about vertical axis
This all happens according to the right-hand thumb rule of electromagnetics. The EMF (Electro Motive Force) changes according to the movement of Loop as it is dependent on the motion which further connects to the right hand thumb rule as shown in the figure attached.
To know more about the Right Hand Thumb Rule :
brainly.com/question/11521829
#SPJ4
the rings of neptune: the rings of neptune: all lie within neptune's roche limit. often appear as clumpy ring arcs, rather than complete and symmetrical. number five, with three narrow, two more diffuse. were confirmed by the voyager 2 in 1989. all of these are correct.
All the statements in the question about the rings of Neptune above are correct.
Neptune is the eighth planet in our Solar System. It has a planetary ring system that may consist of ice particles coated with silicates. The first was detected by a team led by Edward Guinan in 1968, with the following hypothesizes solved by Voyager 2's images in 1989.
There are three main rings in Neptune's planetary ring system:
Adams ring, 63000 km from Neptune's center.Le Verrier ring, 53000 km from Neptune's center.Galle ring, 42000 km from Neptune's center.The picture attached is a combined color and near-infrared image of Nepture created by NASA and ESA.
Learn more about Neptune at https://brainly.com/question/9109943
#SPJ4
A person driving west along a straight road at a speed for 23 m/s sees a deer on the road ahead. They apply the brakes when they are 210 m from the deer. If the deer does not move, and the car stops right before it hits the deer, what is the acceleration provided by the car's brakes?
The acceleration of the car is -1.26 m/s.
What is acceleration?The acceleration is described as the rate of change of the velocity of an object with respect to time. Accelerations are known as vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.
From question we have
u = 23, v = 0 , distance = 210
Using v² = u² - 2as
0² = 23²- 2 * a* 210
a = u²/ 2 * 210
a = 1.26m/s²
In conclusion, we used newtons third law of motion to get the value for the acceleration.
Where:
V represents the final speed.
U is the initial speed.
a represents the acceleration.
S is the distance covered.
Learn more about acceleration at: https://brainly.com/question/605631
#SPJ1
the total number of x-rays emitted from an x-ray tube could be determined by adding together the number of x-rays emitted at each energy over the entire spectrum, a process called integration.
The statement above is true. Integration is the total number of x-rays emitted from its tube, which is determined by adding together the number of x-rays emitted at each energy over the entire spectrum.
An X-ray is a penetrating form of electromagnetic radiation. It is usually used in the medical world to produce pictures of the body's internal structures. An X-ray tube is a tube that converts electrical input power into X-rays.
In the x-ray machine, the x-ray tube emits x-rays that would be used for certain purposes. To count how many x-rays got emitted by the x-ray tube, one can add all the numbers of emitted x-rays at each energy over the entire spectrum.
Learn more about x-ray at https://brainly.com/question/14786450
#SPJ4
a voltmeter pointer is 6 centimeters in length (see figure). find the number of degrees through which it rotates when it moves 2.1 centimeters on the scale. (round your answer to two decimal places.)
When the voltmeter pointer moves 2.1 centimeters on the scale, it rotates 20.06 degrees. The concept is the measure of an arc equals to the measure of the central angle.
What is arc and central angle of a circle?An arc is a curve or a portion of the circumference of a circle. A central angle is an angle formed by two radii in a circle.The ratio of an arc length to the circumference equals to the ratio of a central angle to the total degrees of a circle.
[tex]\frac{x}{2 \pi r} = \frac{\alpha }{360}[/tex]
Where
x = arc lengthπ = 3.14r = radiusα = central angleGiven the case a voltmeter pointer is 6 centimeters in length. When it moves 2.1 centimeters on the scale, what is the number of degrees through which it rotates?
Without the figure, we assume that the radius of the circle is 6 cm when the arc length is measured. So, we got:
x = 2.1 cmr = 6 cmThe number of degrees through which it rotates is the central angle.
[tex]\frac{x}{2 \pi r} = \frac{\alpha }{360}[/tex]
[tex]\frac{2.1}{2 \times 3.14 \times 6} = \frac{\alpha }{360}[/tex]
[tex]\frac{2.1}{37.68} = \frac{\alpha }{360}[/tex]
[tex]\alpha = \frac{2.1 \times 360}{37.68}[/tex]
α = 20.06°
Hence, the number of degrees through which it rotates is 20.06 degrees.
Learn more about arc and central angle here:
brainly.com/question/12647381
#SPJ4