Suppose the velocity of an electron in an atom is known to an accuracy of 2.8 x 103 m/s. What is the electron's minimum uncertainty in position in nm? How many times larger is this compared with the approximate 0.1 nm size of the atom?

Suppose the velocity of an electron in an atom is known to an accuracy of 2.8 x 103 m/s. What is the electron's minimum uncertainty in position in nm? How many times larger is this compared with the approximate 0.1 nm size of the atom?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter29: Introduction To Quantum Physics

Section: Chapter Questions

Problem 63PE: (a) If the position of a chlorine ion in a membrane is measured to an accuracy of 1.00 m, what is...

See similar textbooks

Related questions

Q: A turntable is off and is not spinning. A 0.9 g ant is on the disc and is 14 cm away from the…

A: The objective of the question is to determine the angular velocity, linear velocity, angular…

Q: Coulomb's law for the magnitude of the force F between two particles with charges Q and Q' separated…

A: Charge placed at Charge placed at origin.Charge placed at The permittivity of free space is…

Q: A double slit pattern is produced by shining a laser light with a wavelength of 550nm on a pair of…

A: In the question, it is given that

Q: As a driver steps on the gas petal, a car of mass 1160 kg accelerates from rest. During the first…

A: The acceleration a of the car increases with time t as,Mass of the car is m= 1160 kgTime interval…

Q: 2- An infinitely long thin conductor is bent into L-shape as shown in the figure. Find an expression…

Q: Q#1. Three cubes of side lo, 270, and 370, are placed next to another (in contact) with their…

A: The objective of the question is to find the position of the center of mass of the system of three…

Q: The value of W = 1.8 lb and L = 3 ft A L 9. Determine the angular velocity-(rad/s) as it passes…

Q: The diagram below depicts a rectangular wire loop of width a = 17.5 cm and height b = 7.95 cm, that…

Q: One component of a magnetic field has a magnitude of 0.0251 T and points along the +x axis, while…

Q: has a length of 4.32 × 102 m and is used to make a circular coil of one turn. There is a current of…

Q: The accompanying figure shows two long, straight, horizontal wires that are parallel at a distance…

Q: Two identical capacitors are connected in parallel to an ac generator that has a frequency of 610 Hz…

Q: A helicopter has two blades (see figure), each of which has a mass of 280 kg and can be approximated…

A: Length of each blade is The mass of each blade is Angular speed is Note:Find:(a) The total moment of…

Q: A 270-kg object and a 570-kg object are separated by 4.90 m. (a) Find the magnitude of the net…

A: Please follow the steps below.Explanation:

Q: Don't use chatgpt

A: The objective of the question is to find the power delivered to the electron at the instant that its…

Q: A technician has a 28.0 μF capacitor and a variable frequency AC source. Determine the following.…

A: a) Frequency 21.449 Hzb) reactances 180.97ohmExplanation:Step 1:Step 2: Step 3:

Q: Ropes AB and AC are thrown to a boater whose canoe has capsized. If a = 25 degrees and the magnitude…

A: The tensions in rope AB = 46.89lbs The tensions in rope AC = 53.79lbsExplanation:Please see the…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT • A car travels from Santiago to Valparaiso at 24 m/s and in…

A: Initial velocity, u = 24 m/sFinal velocity, v = 30 m/sTime, t = 3 sAcceleration, a = ?

Q: The resistance and the magnitude of the current depend on the path that the current takes. The…

A: In the qustion, it is given that

Q: A double slit device has and unknown slit spacing, d. When light of wavelength 11 =539nm is used,…

Q: University Physics 1 I need help with this problem and an explanation of the solutions described…

A: The value of g will be 9.624 m/s2Explanation:

Q: A resistor made from a material with a p = 78 Ω m. The resistor is cylindrical with a length of 3.9…

Q: A diver leaves a 3-mm board on a trajectory that takes her 2.8 mm above the board and then into the…

A: The objective of this question is to find the initial speed and angle at which the diver left the…

Q: The intensity of radiation at 2m was 300 mR/hr. What would the exposure be at 4m? Oa. 1200 mR/hr Ob.…

Q: 23. 3.8 Agent Smith 8a Agent Smith, who has a mass of 70 kg, is trapped in the back of a closed…

A: The objective of the question is to calculate the fictitious force felt by Agent Smith when the…

Q: How much work, in joules, must you do to lift an elephant weighing60 000 N up 1.5 m onto the back of…

A: The objective of this question is to calculate the amount of work done in lifting an elephant onto…

Q: Homework 6, Problem 5

A: 460.4 J/KExplanation:

Q: A parallel-plate capacitor is constructed by filling the space between two square plates with a…

Q: Problem 1: A block with a mass of m = 28 kg rests on a frictionless surface and is subject to two…

Q: 18. 3.5 Box Pushing a Box 5 A large block of mass M moves to the right with acceleration a. A second…

A: The objective of this question is to find the minimum acceleration that the larger block must have…

Q: To throw the discus, the thrower holds it with a fully outstretched arm. Starting from rest, he…

A: The objective of the question is to find the speed of the discus at the point of release. This can…

Q: A technician has a 27.0 μH inductor, a 27.0 uF capacitor, and a variable frequency AC source.…

A: Question 1frequency = 5.89kHz Question 2Induced emf = 29.7mVExplanation:Please see the attached…

Q: A sphere of radius R is charged with total charge -2g distributed uniformly inside the sphere's…

A: Option A is correct. A. d = R/2 For equilibrium, the distance d from the center of the sphere to…

Q: For the planet Saturn, What is its average density (kg/m3)

A: The average density of a planet can be calculated using the formula for density, which is mass…

Q: (-8,0) A LOST B (7,0) 仲 (0-3) Find resultant vector

A: The objective of the question is to find the resultant vector of two points A and B located at…

Q: A soccer player can kick the ball 23 m on level ground, with its initial velocity at 43 ∘ to the…

Q: A rotating flywheel has been proposed as a means of temporarily storing mechanical energy in an…

Q: Determine the magnitude of the resulting force in Newtons of the system in figure considering that…

A: The magnitude of the force P is The magnitude of the force Q is .The angle between and is The…

Q: A smooth circular hoop with radius of 0.5 meters is placed flat on the floor. A 0.400-kg particle…

Q: The wire in the drawing carries a current of 13 A. Suppose that a second long, straight wire is…

Q: The pulley system below has a 4 to 1 mechanical advantage; for this problem you can assume an ideal…

A: A mechanical advantage simply tells you how much a system reduces the force required to lift a…

Q: 4. What do capacitors store circle all that apply a. Capacitance b. Force c. Voltage d.…

A: Capacitors can store charge and potential energy So, the answer is letters e & g only.…

Q: Two circular coils of current-carrying wire have the same magnetic moment. The first coil has a…

Q: A negative charge with the magnitude of 5 nC (nano- Coulombs) accelerates in a constant electric…

A: The objective of the question is to find the electric potential at the final location of a…

Q: Two planets were discovered after the life of Newton. The orbital semi - major axis of the planet…

A: The objective of this question is to calculate the period of revolution of a planet using its…

Q: ixĵ=k, jxk=î, k×î = ĵ, Å× B = −B×Ā, |Ã× B| = AB sin 0, d ε = − ± √ B · dÃ‚ ε = IR, P = 1²R, F = IL ×…

A: a) 0.020 A, clockwiseb) 0.017 A, clockwisec) 0.0034 A, clockwiseExplanation:Step 1:Step 2:Step 3:

Q: The magnetic flux through each turn of a 210-turn coil is given by B 7.50 x 10-3 sin(wt), where w is…

Q: Problem 2: = A particle with charge +2.0 C moves through a uniform magnetic field. At one instant…

A: x component of magnetic field is -3Tz component of magnetic field is -4TExplanation:

Q: In the figure particle 1 of charge q₁ = -7.55q and particle 2 of charge 92 = +2.75q are fixed to an…

A: The objective of the question is to find the position on the x-axis where the net electric field due…

Q: A device called a railgun uses the magnetic force on currents to launch projectiles at very high…

A: Proper solution is provided given below:Explanation:Step 1: Finding current The current can be…

Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible lights, the Compton effect is missing.

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Suppose the velocity of an electron in an atom is known to an accuracy of 2.8 x 103 m/s. What is the electron's minimum
uncertainty in position in nm? How many times larger is this compared with the approximate 0.1 nm size of the atom?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given parameters and concept

VIEW

Step 2: Finding uncertainty in position

VIEW

Step 3: comparison with size of atom

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

(a) If the position of a chlorine ion in a membrane is measured to an accuracy of 1.00 m, what is its minimum uncertainty in velocity, given its mass is 5.8601026 kg? (b) If the ion has this velocity, what is its kinetic energy in eV, and how does this compare with typical molecular binding energies?
An electron is located on a pinpoint having a diameter of 6.11 µm. What is the minimum uncertainty in the speed of the electron?
A hydrogen atom has a radius of 0.05 nm with a position accuracy of 1.0%. Calculate the uncertainty in the atom’s velocity. Use "E" format for scientific notation (i.e. for 1.23x10, write as 1.23E-9).
A hydrogen atom has a radius of 0.05 nm with a position accuracy of 1.0%. Calculate the uncertainty in the atom’s velocity. Use "E" format for scientific notation (i.e. for 1.23 x 10, write as 1.23E–9). Do not Include the units in your answer.
A. If the position of a chlorine ion in a membrane is measured to an accuracy of 1.50 µm, what is its minimum uncertainty in velocity (in m/s), given its mass is 5.86 10-26 kg? B. If the ion has this velocity, what is its kinetic energy in eV? (Compare this with typical molecular binding energies of about 5 eV.)
If the radius of a calcium ion is 0.27 nm, how much energy does it take to singly ionize it? Give your answer in electron-volts (eV) with precision 0.1 eV. Give your answer to 2 significant digits.
An atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.
The speed of an electron is measured to within an uncertainty of 2.0 × 104 m/s. What is the size of the smallest region of space in which the electron can be confined?
Q:-3(a)-An electron moves in the x direction with a speed of 2.8 x 106 m/s. We can measure its speed to a precision of 2 %. With what precision can we simultaneously measure its x coordinate? (b)- Repeat the calculations of the previous example in the case of a pitched baseball (m = 0.135 kg) moving at a speed of (44.5 ms). Again assume that its speed can be measured to a precision of 2%
An electron has been accelerated by a potential difference of 100 V. If its position is known to have an uncertainty of 1 nm, what is the percent uncertainty (Δp/p×100) of the electron
Determine the distance between the electron and proton in an atom if the potential energy UU of the electron is 15.2 eV (electronvolt, 1 eV =1.6×10−19 J). Give your answer in Angstrom (1 A = 10-10 m).
An electron is located on a pinpoint having a diameter of 7.71 µm. What is the minimum uncertainty in the speed of the electron? m/s Need Help? Read It