V=3.39×10⁶ ×d for 0≤d≤0.005 m, 7.73x10⁷ m/s is the electric potential at a location 8.0mm from the negative plate, 3.0mm from the positive plate
a. Identify the unknown:
The potential everywhere
List the Knowns:
Charge density of the two plates: σ = ±30×10⁻⁶ C/m²
Distance between the two plates: d=5×10⁻³ m
Permittivity of free space: ε₀=8.85×10⁻¹² C²/N⋅m²
Set Up the Problem:
Since the σ are equal and opposite, this means that in the region outside of the two plates, the electric fields cancel each other out to zero: E = 0 The electric field between the plates is this strong:
E = σ/ε₀ = 30×10⁻⁶/8.85×10⁻¹² = 3.39x10⁶N/C
Possible variations between the positive plate and the negative plate include:
ΔV=Ed=3.39×10⁶ ×0.005=1.7×10⁴ V
Assuming the negatively charged plate is at the origin (d=0) and has no potential, the electric field is directed away from the positively charged plate and towards the negatively charged plate, the positive plate is at (d=+0.005 m) and have 1.7×10⁴ V
Solve the Problem:
V=0 for d<0
V=3.39×10⁶×d for 0≤d≤0.005 m
V=1.7×10⁴ V for d>0.005m
b. Identify the unknown:
when an electron leaves a state of rest at the negative plate and strikes the positive plate, how quickly it moves
List the Knowns:
Electron charge: e=1.6×10⁻¹⁹ C
Electron mass: m=9.11×10⁻³¹ kg
Set Up the Problem:
Potential and electric potential energy have the following relationships: = U/q
U=qV
To move the drop, this potential energy is converted to kinetic energy:
1/2mv²=qV
v = √2qV/m
Solve the Problem:
v = √(2×1.6×10⁻¹⁹×1.7×10⁴/9.11×10⁻³¹) = 7.73x10⁷ m/s
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10. A pitcher in a professional baseball game throws a fastball, giving the baseball
a momentum of 5.83 kg. m/s. Given that the baseball has a mass of 0.145 kg,
what is its speed?
Answer: 40.2m/sec
Work: v=p/m= 5.83kg/0.145k=40.2cm/sec
Which shows the correct lens equation?
Answer:
The inverse of f equals the inverse of d Subscript o Baseline plus the inverse of d Subscript I Baseline.
Explanation:
Explanation:
Answer: The answer is most likely the first one, but I may be wrong.
Explanation:
A 5.0 kg Foucalt Pendulum swings at the end of a 4.0 m long cable. The pendulum is released from a height of 1.5 m above the lowest position of its swing. What is the maximum tension in the cable?
Hi there!
We can begin by solving for the pendulum's velocity at the bottom of its trajectory using the work-energy theorem.
Recall:
\(E_i = E_f\)
Initially, we just have Potential Energy. At the bottom, there is just Kinetic Energy.
\(PE = KE\\\\\)
Working equation:
\(\large\boxed{mgh = \frac{1}{2}mv^2}\)
Rearrange to solve for velocity:
\(gh = \frac{1}{2}v^2\\\\v = \sqrt{2gh}\\\\v = \sqrt{2(9.8)(1.5)} = 5.42 \frac{m}{s}\)
Now, we can do a summation of forces:
\(\Sigma F = T - W\)
The net force is the centripetal force, so:
\(\frac{mv^2}{r} = T - W\)
Rearrange to solve for tension:
\(T = \frac{mv^2}{r} + W\\\\T = \frac{5(5.42^2)}{4} + 5(9.8) = \boxed{85.75 N}\)
PLEASE HELP!!! I have an electromagnet. If I detach the two wires from the battery and reattach them to the opposite terminals, how would that change the current and magnetic field?
Explanation:
hope it helps thanks
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Identify the following physical quantities as scalars or vectors.speeddistancevelocitypositiondisplacementaverage velocityacceleration
Speed, distance, and position are scalar quantities, while velocity, displacement, average velocity, and acceleration are vector quantities.
Speed refers to how fast an object is moving and is a scalar quantity, with only magnitude, without direction. Distance is a scalar quantity that refers to the amount of space between two points, also having only magnitude.
Position is a scalar quantity that refers to the location of an object in space and also has only magnitude.
Velocity, on the other hand, is a vector quantity, as it has both magnitude and direction. It is the rate of change of an object's position over time.
Displacement is another vector quantity, and it refers to the change in position of an object from its starting point.
Average velocity is a vector quantity that is the average of all velocity changes during a certain time interval.
Acceleration is also a vector quantity and refers to the rate of change of velocity. It measures how quickly the velocity of an object changes, and like velocity, it has both magnitude and direction.
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A negative charge of -6.0 x 10-5 exerts an attractive force of 65 N on a second charge 0.50 m away. What is the magnitude of the second charge? Is the second charge negative or positive?
The magnitude of the second charge is 3.01 x 10⁻⁵C.
The second charge is positive.
What is the magnitude of the second charges?The magnitude of the second charge is determined by applying Coulomb's law of electrostatic force as shown below.
F = kq₁q₂/r²
where;
r is the distance between the chargesk is coulomb's constantF is the force between the chargesSubstitute the given parameters, and solve for the magnitude of the second charge as shown below.
q₂ = Fr²/kq₁
q₂ = (65 x 0.5²) / (9 x 10⁹ x 6 x 10⁻⁵)
q₂ = 3.01 x 10⁻⁵C
Thus, the magnitude of the second charge is 3.01 x 10⁻⁵C. Also, since the force is attractive, the second charge must be positive.
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Which two options are forms of potential energy?
O A. Electrical energy
B. Elastic energy
O C. Magnetic energy
D. Light energy
O E. Sound energy
A. Electrical energy B. Elastic energy are the forms of potential energy.
What is potential energy?Potential energy is the energy possess by an object because due to its position relative to other objects, stresses within itself, its electric charge, or other factors.
Types of Potential energy:
Elastic potential energy - It is stored in objects that can either be stretched or compressed. The more the object is stretched or compressed, the more elastic potential energy it will have. A classic example is a stretched rubber bandElectric potential energy - Is the energy that is needed to move a charge against an electric field. We need more energy to move a charge in the electric field, but also more energy to move it through a stronger electric field.Therefore,
Electrical energy , Elastic energy are the forms of potential energy.
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: In the spring of 2021, the New Horizons spacecraft reached a distance of 50 astronomical units ("AU") from Earth. At that time, how many km was New Horizons from Earth? Note: One astronomical unit is the distance from the Earth to the Sun or about 150 million km. Question 3 (6 points): The planet Mars completes one orbit of the Sun in 687 days. Use scientific notation to express this time in units of seconds. You may use the character ∧
for the power of 10 , like 4.5×10 ∧
4 (4.5 times 10 to the 4 th power).
The time taken by the planet Mars to complete one orbit of the Sun is 5.94 x 10⁷ seconds.
Given information: In the spring of 2021, the New Horizons spacecraft reached a distance of 50 astronomical units ("AU") from Earth. One astronomical unit is the distance from the Earth to the Sun or about 150 million km.
Calculation: To find how many km was New Horizons from Earth, we need to multiply the distance in AU by the conversion factor. 1 AU = 150 million km 50 AU = 50 x 150 million km = 7.5 billion km Thus, the New Horizons spacecraft was 7.5 billion km from Earth in the spring of 2021. Now, let's move on to the second question. The planet Mars completes one orbit of the Sun in 687 days. We need to express this time in seconds using scientific notation.
To convert days to seconds, we need to multiply the number of days by the conversion factor. 1 day = 86400 seconds 687 days = 687 x 86400 seconds= 5.94 x 10⁷ seconds (using scientific notation) Therefore, the time taken by the planet Mars to complete one orbit of the Sun is 5.94 x 10⁷ seconds.
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Because the pressure falls, water boils at a lower temperature with increasing altitude. Consequently, cake mixes and boiled eggs, among other foods, must be cooked different lengths of time. Determine the boiling temperature of water at 1000 and 2000 m elevation on a standard day, and compare with the sea-level value
Answer:
1) The boiling point of water reduces by 3.28°C at 1,000 m above sea-level
2) The boiling point of water reduces by 6.56°C at 2,000 m above sea-level
Explanation:
The variation of the boiling point of water with elevation is given as follows
The boiling point reduces by 0.5°C for every 152.4 meter increase in elevation
At sea-level, the boiling point temperature of water = 100°C
1) At 1,000 m elevation, the boiling point temperature, T = 100 - (1,000/152.4) × 0.5 ≈ 96.72 °C
Therefore, the boiling point of water reduces by 100° - 96.72° = 3.28°C at 1,000 m above sea-level
2) At 2,000 m elevation, the boiling point temperature, T = 100 - (2,000/152.4) × 0.5 ≈ 93.44°C
The boiling point of water reduces by 100° - 93.44° = 6.56°C at 2,000 m above sea-level
Machine A and Machine B can complete a job in 2 hours. Machine A and Machine C can complete the same job in 3 hours. Machine B and Machine C can complete the same job in 4 hours. How long will the job take if Machine A, Machine B and Machine C all work at the same time. Assume each machine works at a constant rate whether working alone or with other machines. Round your answer as a numerical number with two decimal places.
The time taken if Machine A, Machine B, and Machine C all work at the same time is approximately 1.85 hours or 1 hour 51 minutes.
Given data: Machine A and Machine B can complete a job in 2 hours. Machine A and Machine C can complete the same job in 3 hours. Machine B and Machine C can complete the same job in 4 hours.
Solution: Let the efficiency of Machine A, B and C be a, b and c respectively. The amount of work done by the machine is directly proportional to the time taken. So we can write the following equations:
Equation 1: 2a + 2b = 1 (As Machine A and Machine B can complete a job in 2 hours)
Equation 2: 3a + 3c = 1 (As Machine A and Machine C can complete the same job in 3 hours)
Equation 3: 4b + 4c = 1 (As Machine B and Machine C can complete the same job in 4 hours)
Let's solve the above equation: 2a + 2b = 1
=> a + b = 1/2 ------(4)
3a + 3c = 1
=> a + c = 1/3 ------(5)
4b + 4c = 1
=> b + c = 1/4 ------(6)
Adding equations (4), (5), and (6), we get: a + b + a + c + b + c = 1/2 + 1/3 + 1/4
=> 2a + 2b + 2c = (6 + 4 + 3)/12
=> a + b + c = 13/24.
The time taken if Machine A, Machine B, and Machine C all work at the same time will be reciprocal of the efficiency of the three machines when they work together.
=> Efficiency of Machine A, B, and C = a + b + c
= 13/24.
Time taken to complete the job will be reciprocal of the efficiency of the three machines when they work together .i.e Time taken = 1 / (a + b + c)
Time taken = 1 / (13/24)
= 24/13
≈ 1.85 (rounded to 2 decimal places).
Conclusion: Therefore, the time taken if Machine A, Machine B, and Machine C all work at the same time is approximately 1.85 hours or 1 hour 51 minutes.
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Find the equivalent resistance of this
circuit.
R
R3
420 12
160 12
R₂
320 12
Rea = [?] 52
Answer:
RT = 341.62 Ohms
Explanation:
Given the following data;
R1 = 420 Ohms
R2 = 320 Ohms
R3 = 160 Ohms
To find the equivalent resistance;
From the circuit, we can see that R1 and R2 are connected in parallel;
Mathematically, the total equivalent resistance of resistors connected in parallel is given by the formula;
\( RT = \frac {R1*R2}{R1 + R2} \)
Substituting into the formula, we have;
\( RT1 = \frac {420*320}{420 + 320} \)
\( RT1 = \frac {134400}{740} \)
RT1 = 181.62 Ohms
Next, we resolve the resistors to form a series circuit.
RT = RT1 + R3
RT = 160 + 181.62
RT = 341.62 Ohms
if I walk forward 20km and back ward 20km my distance would be ____yard but my displacement would be_____
Answer:
distance = 40 km = 43744.5 yard
displacement = 0 km
Explanation:
Distance is how far you have walk (total length).
Displacement is the change of position.
If you walk and come back at the same exact place, there will be NO displacement, meaning there is NO CHAN GE in between the first and final position.
What voltage does the corona wire or corona roller hold? A. +600VDC B. -600VDC C. 0VDC D. -100VDC. +600VDC.
The voltage that the corona wire or corona roller holds is **C. 0VDC**.
The corona wire or corona roller is used in certain electrical devices, such as photocopiers and laser printers, to create a corona discharge. This discharge is necessary for the proper functioning of these devices. However, the voltage applied to the corona wire or roller is typically around 0 volts.
The purpose of the corona wire or roller is to create a localized ionization of the air around it, which assists in the transfer of toner particles onto the paper or drum. This ionization process is achieved by applying a high voltage, usually in the range of a few kilovolts, to the wire or roller.
However, the voltage applied to the corona wire or roller itself is typically referenced to ground potential. Therefore, the wire or roller itself is held at or around 0 volts DC (Direct Current). This helps to maintain a stable and controlled corona discharge for the efficient operation of the device.
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____ is a type of circuit were there is a direct connection between two points in a circuit that aren't supposed to be directly connected, such as two terminals of a power supply.
Short
Open
Closed
Series
Answer:
Short
Explanation:
I took the same test
The type of circuit when there is a direct connection lies between two-points should be a short circuit.
What is a short circuit?
It is not the normal condition with respect to an electric circult where the electric current should be flow via the non-intended, also there is short pathway rather following the circuit.
Moreover, there should be a direct linked between the two points in the circuit that supposed to be directly linked.
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A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?
Answer:
Decreasing the angle to 10
Explanation:
Edge 2020
Consider the following figures. Determine the direction of the current in the current-carrying wire that produces the field indicated in the figure.
Options:
out of the screen
into the screen
toward the left
toward the right
toward the top of the screen
toward the bottom of the screen
The direction of the current in the current-carrying wire that produces the field indicated in the figure is given below.
Conventionally, a positive charge would go in the same direction as an electric current. As a result, the battery's positive terminal receives less current in the external circuit than its negative counterpart. Indeed, electrons would go in the reverse direction across the cables.
According to Fleming's right-hand rule gives which direction the current flows. The right hand is held with thumb, index finger & middle finger mutually perpendicular to each other. The thumb is pointed in direction of motion to magnetic field of conductor relative to magnetic field.
(A) from right hand rule direction of current is towards left.
(B) Out of the Screen.
(C) Lower left to upper right.
According to Fleming's Right Hand Rule, if the thumb, forefinger, and middle finger are arranged in a straight line on the right hand, the thumb will point in the direction of the conductor's motion in relation to the magnetic field, the forefinger will point in the direction of the magnetic field, and the middle finger will point in the direction of the induced current.
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Full Question ;
Consider the following figures. Determine the direction of the current in the current-carrying wire that produces the field indicated in the figure. (a) * * * * * * * * * * * Bin * O out of the screen O into the screen O toward the left toward the right toward the top of the screen toward the bottom of the screen (b) O out of the screen O into the screen O toward the left toward the right O toward the top of the screen toward the bottom of the screen (C) * * * * O out of the screen into the screen lower right to upper left lower left to upper right upper right to lower left upper left to lower right
a mountain or katabatic breeze is created when quizlet
A mountain or katabatic breeze is created when cold, dense air flows downhill under the influence of gravity. At night, the ground cools more quickly than the surrounding air, causing the air in contact with the ground to cool and become more dense. The cold, dense air then flows down the slope of a mountain or hillside, forming a mountain breeze.
During the day, the sun warms the ground, causing the air near the ground to heat up and rise. This creates an area of low pressure at the surface, which draws in air from the surrounding higher-pressure areas. As the air from higher elevations flows down toward the lower-pressure area, it creates a katabatic breeze.
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2. what are the stable orientation(s) for a dipole in an external electric field? what happens if the dipole is slightly perturbed from these orientations?
A dipole in an external electric field will align itself so that the opposite charges of the dipole face the electric field's direction.
This stable orientation occurs because the electric field exerts a torque on the dipole, causing it to rotate until it is aligned with the field. The stable orientation(s) for a dipole in an external electric field are either parallel or antiparallel to the field direction.
If the dipole is slightly perturbed from these orientations, it will experience a restoring torque that will tend to bring it back to its stable position.
This occurs because the dipole moment experiences a torque that is proportional to its angular displacement from its stable position. The magnitude of the restoring torque is proportional to the dipole moment and the strength of the electric field.
Therefore, any small deviation from the stable orientation will result in a torque that acts to restore the dipole to its stable orientation.
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when the speed of a moving car is doubled, how much more kinetic energy does it have?
Answer: 4 times
Explanation:
KE1 = (1/2)mv^2
KE2 = (1/2)m(2v)^2 or (1/2)m*4v^2
KE2/KE1 = ((1/2)m*4v^2)/((1/2)mv^2) = 4 times
How much of the human body is composed of proteins
Answer:
Protein makes up approximately 20 percent of the human body and is present in every single cell
Explanation:
Answer:
Protein makes up approximately 20 percent of the human body and is present in every single cell.
in a circuit with two identical components connect in parallel, the current which flows through it's different branches are different or the same
Answer:
same,
my advise is you add more points it will make everyone anwser quicker.
(ii) Let R be a rotation and S be a reflection of the euclidean plane E. Give a precise deion of RS, relating it to the classification of isometries of E². Be careful of special cases.
RS is a composition of rotation and reflection in the Euclidean plane E². The precise description of RS depends on the specific properties of the rotation R and reflection S.
In general, if R and S have the same axis or line of symmetry, the composition RS results in a translation. If R and S have intersecting lines of symmetry, RS yields a glide reflection. If R and S have perpendicular lines of symmetry, RS produces a rotation.
It is important to consider special cases, such as parallel lines of symmetry, coinciding axes, or perpendicular lines of reflection, as they may lead to different outcomes. The classification of isometries in E² involves understanding how rotations and reflections combine to create different transformations in the plane.
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A car slows down from a velocity of 25 m/s to rest in 5.0 seconds. How far did the car travel during that time?
Answer:
\( \boxed{\sf Distance \ travelled = 62.5 \ m} \)
Given:
Initial velocity (u) = 25 m/s
Final velocity (v) = 0 m/s (Rest)
Time taken (t) = 5 seconds
To Find:
Distance travelled by car (s)
Explanation:
From equation of motion of object moving with uniform acceleration in straight line we have:
\( \boxed{ \bold{s = (\frac{v + u}{2} )t}}\)
By substituting value of v, u & t in the equation we get:
\( \sf \implies s = ( \frac{0 + 25}{2} ) \times 5 \\ \\ \sf \implies s = \frac{25}{2} \times 5 \\ \\ \sf \implies s = 12.5 \times 5 \\ \\ \sf \implies s = 62.5 \: m\)
\( \therefore\)
Distance travelled by car (s) = 62.5 m
The distance car travel during that time is 62.5 meter.
What is acceleration?
Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
Initial velocity (u) = 25 m/s
As the car becomes rest, final velocity (v) = 0 m/s (Rest)
Time taken (t) = 5 seconds.
The deceleration of the car: a = (initial speed - final speed)/time interval
= ( 25 m/s - 0 m/s)/5 second
= 5 m/s²
The distance car travel during that time = ut - at²/2
= 25 × 5.0 meter - (5×5²/2) meter
= 62.5 meter.
Hence, the distance car travel during that time is 62.5 meter.
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14. What is the gravitational potential energy equation
Explanation:
g.p.e= Gm1m2/r
that is the answer
Find the volume of a box measuring 2cm by 7 cm by 3cm
Answer:
42cm
Explanation:
To find the volume of a box, you simply multiply the length, by the width, then by the heigh!
2cm x 7cm x 3cm = 42cm
I hope my answer helped you! :)
Volume of rectangle box is 42 cm³
Given that;Measurement of box are 2cm by 7 cm by 3cm
Find:Volume of box
Computation:Volume of rectangle box = lbh
Volume of rectangle box = (2)(7)(3)
Volume of rectangle box = (6)(7)
Volume of rectangle box = 42 cm³
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PLEASE HELP MEEE!!!
In a science experiment showing the splitting of water into Oxygen and hydrogen, two inverted test tubes of water were placed over the site of the reaction. (see the pic) How can you tell which one was catching the oxygen and which one was catching the hydrogen?
A. The hydrogen is a positive ion and will be located close to the negative terminal of the battery.
B. The oxygen is a negative ion which will be located next to the negative terminal of the battery.
C. There are 2 hydrogen atoms for every oxygen atom. The hydrogen will take up more space and is pushing the water lower in the test tube.
D. The hydrogen, being a smaller atom, will take up less space than the oxygen. It will push the water down less.
Answer:
Option C
Explanation:
Answer C is the correct option. water can be written as H₂O, which means that there are 2 Hydrogen atoms for every oxygen atom, therefore it will occupy more space than oxygen and push more. there is also one more possibility, if the splitting takes place in Hoffman's Voltameter then the Hydrogen will be close to the cathode as hydrogen is positive. Otherwise, option C is correct answer. Hope this Helps you!
in a double-slit experiment, the slit separation is 2.0 mm , two wavelengths of 900 nm and 700 nm illuminate the slits, the screen is placed 2.6 meters away from the slits. at what distance from the central maximum on the screen will a dark fringe from one pattern first coincide with a dark fringe from the other?
Distance from the central maximum on the screen will a dark fringe from one pattern first coincide with a dark fringe from the other is -0.26 mm
How is the distance calculated?Since the slit separation is 2.0 mm , and two wavelengths, 900 nm and 700 nm , illuminate the slits. A screen is placed 2.6 m from the slits
λ\(1\) = 900 nm
λ\(2\) = 700 nm
D = 2.6 m
d = 2 mm
The distance is calculated using formula ,
\(Y\)= λD/d
Hence,
\(Y1\) = λ\(1\) D/d
\(Y2\) = λ\(2\) D/d
\(Y1\) = 900 × \(10^{-9}\) × 2.6 / 2 × \(10^{-3}\)
Therefore, \(Y1\) = 1.170 mm
\(Y2\) = 700 × \(10^{-9}\) × 2.6 / 2 × \(10^{-3}\)
Therefore, \(Y2\) = 0.910 mm
So the spacing between these two bright stripes is: \(Y2\) -\(Y1\) = -0.26 mm
What is double-slit experiment?Young's double-slit experiment uses two coherent light sources spaced apart. Usually only a few orders of magnitude larger than the wavelength of light are used. Young's double-slit experiment helped us understand the wave theory of light.
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if 4 different amplitudes are used, how many bits can be transmitted with each amplitude change? qizzlet
if 4 different amplitudes are used, the numbers of bits that can be transmitted with each amplitude change is 2 bits.
What in physics is the amplitude?Distance between the wave's resting position and its highest displacement is known as amplitude. Frequency is the quantity of waves that pass by a particular place each second.
The distance between the center line (or the still position) and the top or bottom of a wave's crest or trough is known as the amplitude (). Be cautious when using this amount because a diagram may not always show the center line. Meters are used to measure amplitude ( ).
For example:
If there is 4 amplitudes, it will be: 00,01,10,11 then 2 bits
If there is 8 frequencies it will be: 000,001,010,011 ,100,101,110, 111 and then 3 bits
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See full question below
With Amplitude Shift Keying (ASK), if 4 different amplitudes are used, how many bits can be transmitted with each amplitude change?
Green light has a wavelength of 500nm in air.(ii). The green light is sent into a Michelson interferometer that is adjusted to produce a central bright circle. How far must the interferometer's moving mirror be shifted to change the center of the pattern into a dark circle? Choose from the same possibilities as in part (i). (a) 1000 nm
(b) 500 nm
(c) 250 nm
(d) 125 nm
(e) 62.5 nm
The distance that corresponds to half a wavelength of light is 250 nm. The correct option is (c) 250 nm.
When the Michelson interferometer is adjusted to produce a central bright circle, the distance between the two mirrors is an integer multiple of half the wavelength of light.
To change the center of the pattern into a dark circle, the distance between the two mirrors must be increased by one half wavelength.
The wavelength of green light in air is 500 nm, so the interferometer's moving mirror must be shifted by 500/2 = 250 nm to change the center of the pattern into a dark circle.
Therefore, the distance that corresponds to half a wavelength of light is 250 nm.
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A pendulum is constructed from a thin, rigid, and uniform rod with a small sphere attached to the end opposite the pivot. This arrangement is a good approximation to a simple pendulum (period = 0. 65 s), because the mass of the sphere (lead) is much greater than the mass of the rod (aluminum). When the sphere is removed, the pendulum no longer is a simple pendulum, but is then a physical pendulum. What is the period of the physical pendulum?
The period of a physical pendulum depends on its mass distribution and can be calculated using the moment of inertia. The equation for the period takes into account the mass, length, radius, and distance between the pivot and center of mass.
A physical pendulum is a type of pendulum in which the mass is distributed along the length of the pendulum, and its period depends on the distribution of the mass.
To find the period of the physical pendulum, we need to consider the moment of inertia of the system, which is given by the sum of the moment of inertia of the rod and the moment of inertia of the sphere about the pivot.
Assuming that the length of the rod is much greater than the radius of the sphere, we can approximate the moment of inertia of the rod as \((1/3)ml^2\), where m is the mass of the rod and l is its length. The moment of inertia of the sphere about the pivot is \((2/5)mR^2\), where R is the radius of the sphere.
Using the parallel axis theorem, we can find the moment of inertia of the system about the pivot as \((1/3)ml^2 + (2/5)mR^2 + md^2\), where d is the distance between the pivot and the center of mass of the system.
The period of the physical pendulum is given by \(T = 2\pi \sqrt{(I/mgd)}\), where g is the acceleration due to gravity.
Thus, the period of the physical pendulum depends on the distribution of the mass, and it cannot be determined without knowing the values of m, l, R, and d.
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