A proton is confined to a nucleus that has a diameter of 7.7 x 10-15 m. If this distance is considered to be the uncertainty in the position of the proton, what is the minimum uncertainty in its momentum?

A proton is confined to a nucleus that has a diameter of 7.7 x 10-15 m. If this distance is considered to be the uncertainty in the position of the proton, what is the minimum uncertainty in its momentum?

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter5: Matter Waves

Section: Chapter Questions

Problem 19P

See similar textbooks

Related questions

Q: A sled is being held at rest on a slope that makes an angle with the horizontal. After the sled is…

Q: A light source emits a beam of photons, each of which has a momentum of 2.0 x 10-29 kg-m/s. (a) What…

A: Mometum of photon=2.0×10-29kg.m/s

Q: The figure (Figure 1) shows representations of six thermodynamic states of the same ideal gas…

A: The ideal gas equation is given by ,

Q: Tension is maintained in a string by attaching one end to a wall and by hanging a 3.10-kg object…

A: We have given the weight of object = 3.10 kglength of string = 2 mstring mass per unit length = 3.55…

Q: ) list the dynamic and kinematic equations that related to all three objects. 2) find the…

Q: A hot solid substance with mass 3.44kg and temperature 81.5 oC, is taken out of the oven and placed…

A: Heat lost by the hot body (hot solid substance) = Heat gained by the cold body(water)

Q: A 8.7 kg mass hanging from a spring scale is slowly lowered onto a vertical spring, as shown in…

A: We have given mass which is hanging from a spring scaleWe have to find1. What does the spring scale…

Q: • A 2.5-cm tall candle is set 7.5-cm in front of a concave spherical mirror having a 30-cm radius.…

Q: A ball is dropped from rest from a height of 20.0 m above the ground:i) How long will it take the…

A: The objective of this question is to find out the time it takes for a ball to hit the ground when it…

Q: The sign shown is supported by two ropes at the corners. Find the equivalent force of the two ropes…

Q: In 1866, the German scientist Adolph Kundt developed a technique for accurately measuring the speed…

A: f = 400hzLength of tube = 123cm

Q: An astronaut of mass 60 kg is on a space walk when suddenly someone throws a 3 kg book to her with…

Q: a) b) Case 8: Consider the case of an object (draw yourself on the diagram, an arrow erect on the…

Q: What would be the average momentum with these two momentums? P1= 0.02784 P2= 0.03811

A: The average momentum () is calculated by taking the average of the individual momenta ( and ).

Q: Light of wavelength 427 nm (in vacuum) is incident on a diffraction grating that has a slit…

A: Light of wavelength = 427x10-9mDiffraction grating of slit separationthe distance between the screen…

Q: b) Two different capillary tubes of radius 0.5 mm are dipped into soapy water of density 900 kg/m³.…

Q: A van de Graaff generator produces a 2 MeV beam of deuterons, which are heavy hydrogen nuclei…

Q: (a) A boy opens a 1.05 m wide door by pushing on it with a force of 58.5 N applied at the center of…

A: Given data: Width of door = 1.05 mForce (F) = 58.5 N, at center of the door Force applied at angle…

Q: You drop a 15-g ball from a height of 1.5 m and it only bounces back to a height of 0.85 m. What…

A: We have given that a 15-g ball drop from a height of 1.5 m and it only bounces back to a height of…

Q: a)A 0.319 m radius, 864-turn coil is rotated one-fourth of a revolution in 4.17 ms, originally…

Q: A solenoid used to produce magnetic fields for research purposes is 2.7 m long, with an inner radius…

A: Given data: Length (L) = 2.7 mInner radius (r) = 68 cmNumber of turns (N) = 3.4×104Current (I) = 300…

Q: An object at rest is suddenly broken apart into fragments A and B by an explosion. The fragment A…

A: Solution:Given:Object breaks into two fragments A and B.mA = mass of fragment AmB = mass of fragment…

Q: A student pushes a physics textbook of mass 1.15 kg across a table with a horizontal force of 5.48…

A: The objective of this question is to find the speed of the textbook after 2.3 seconds. We can use…

Q: A pressure cooker is a pot whose lid can be tightly sealed to prevent gas from entering or escaping.…

A: Given Information:Initial temperature of the gas (T₁) = 20 °CInitial temperature in Kelvin (T₁K) =…

Q: Required information A transverse wave on a string is described by y(x, t) = (1.2 mm) sin ((2.0π…

Q: A 3650-kg open railroad car coasts at a constant speed of 9.00 m/s on a level track. Snow begins to…

Q: A particle with a charge of q = 12.0 μC travels from the origin to the point (x, y) = (20.0 cm, 50.0…

A: The objective of the question is to find the change in the electric potential energy and the…

Q: A pendulum is 0.341m long and has a period of 3.207s. The pendulum is on an unknown planet. What is…

Q: A 2.5 kg particle located at (4, -2, -3)m moving in the negative y direction with a 4.2 m/s speed.…

Q: The charge on an air-filled parallel-plate capacitor varies with time as q(t) = Qo exp(-t/t) where…

A: The displacement current () in a capacitor is given by the formula: is the rate of change of charge…

Q: Case 4: Object located between the focus and the center of curvature (F' < d0 < 2F'). The figure…

Q: Two blocks are connected by a cord (of negligible mass) that passes over a pulley of negligible…

Q: A.) What is the current I? B.) How much power is dissipated by the unknown resistor R? You should…

A: See below

Q: Which of the following statements are true? The magnitude of torque is the same for any axis…

Q: If the current is 1 A and the radius R is 0.5 cm, the magnitude of the magnetic field at point P, at…

Q: A demented scientist creates a new temperature scale, the "Z scale." He decides to call the boiling…

A: The boiling point of nitrogen: , corresponding to The melting point of iron: , corresponding to

Q: Part A What is the magnitude of the force on the 1.0 nCnC charge at the bottom of the figure? Part…

Q: wo astronauts, one of mass 60 kg and the other 90 kg, are initially at rest together in outer space.…

A: Mass, m1 = 60 kgMass, m2 = 90 kgDistance moved by lighter astronaut is 12 m.

Q: Consider a theoretical system in which the particles interact so that the internal energy depends on…

A: Given.To find the external pressure, we need to minimize the free energy with respect to the volume,…

Q: Required information A transverse wave on a string is described by y(x, t) = A cos (wt + kx), where…

A: The equation is: y(x,t)=Acos(ωt+kx) We know that the positive sign indicates that the wave is…

Q: Your niece has asked you to take her sledding. Your niece and the sled have a combined mass of 30…

A: Draw the free-body diagram of the system.

Q: which of the four free body diagrams is correct showing the forces acting on charge B

Q: Consider a circuit consisting of a battery (4.26 Volts) and three resistors in parallel. If the…

A: The objective of this question is to calculate the total current drawn from the battery when three…

Q: Two stars are 3.2 x 1011 m apart and are equally distant from the earth. A telescope has an…

A: The diffraction-limited resolution of a telescope can be described by Rayleigh's criterion, which…

Q: 1. A charged ring of radius a with charge per unit length given by λ = k cos is paced on the xy…

Q: 2.00 mol of gas at a temperature of -160 °C fills a 2.70 L container. What is the gas pressure?…

Q: What are the three longest wavelengths for standing sound waves in a 107-cm-long tube under the…

Q: Using the data from Table 1, how much energy is released in the fusion of deuterium 12 D and tritium…

A: The energy released () in the fusion reaction , can be given by the formula:Where, , is speed of…

Q: . A voltage of 120V generates an IR drop across two resistors connected in series. If the voltage…

A: 1.The total voltage across the series resistors is the sum of the voltage drops across each…

Q: A student traces the light refraction pattern of light in air and as it passes into glass and…

Question

A proton is confined to a nucleus that has a diameter of 7.7 x 10-15 m. If this distance is considered to be the uncertainty in the position
of the proton, what is the minimum uncertainty in its momentum?
Number i
eTextbook and Media
Units

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculation for the minimum uncertainty in momentum.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 11 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?
A quantum mechanical oscillator vibrates at a frequency of 250.0 THz. What is the minimum energy of radiation it can emit?
A velocity measurement of an a-particle has been performed with a precision of 0.02 mm/s. What is the minimum uncertainty in its position?
An atom in a metastable state has a lifetime of 5.2 ms. Find the minimum uncertainty in the measurement of energy of the excited state.
A gas of helium atoms at 273 K is in a cubical container with 25.0 cm on a side. (a) What is the minimum uncertainty in momentum components of helium atoms? (b) What is the minimum uncertainty in velocity components? (c) Find the ratio of the uncertainties in (b) to the mean speed of an atom in each direction.
If the energy of the first excited state of the electron in the box is 25.0 eV, what is the width of the box?
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?
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?
the measurement of electron energy requires a time interval of 1.0x10^28s. What's the smallest possible uncertainty in the electrons energy?
A beam of electrons travels at approximately 1.282×10° m/s and there is a 5.00% uncertainty in the velocity. According to the Heisenberg uncertainty principle, what would be the expected uncertainty in the position of an electron in the beam? Give your answer in units of the Bohr radius.
An atom in an excited state of 4.7 eV emits a photon and ends up in the ground state. The lifetime of the excited state is 1.0 x 10-13 s. (a) What is the energy uncertainty of the emitted photon? (b) What is the spectral line width (in wavelength) of the photon?