A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an α-particle to describe a circle of same radius in the same field

A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field. What should be the energy of an α-particle to describe a circle of same radius in the same field

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 63AP: An electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept...

See similar textbooks

Related questions

Q: One electron collides elastically with a second electron initially at rest. After the collision, the…

Q: magnetic field at the nucleus due to the moving electron

Q: A nucleus with 19 protons travels at a velocity of 9.82 x 10^6 m/s through a region of uniform…

Q: The figure shows a velocity selector that can be used to measure the speed of a charged particle if…

A: According to the given problem , The particle will pass straight when electric and magnetic forces…

Q: One cyclotron built during the 1930s has a path of maximum radius 0.500 m and a magnetic field of…

A: Given: The radius of path covered by proton is r=0.500 m. The magnetic field of the cyclotron is…

Q: An electron in a magnetic field moves counterclockwise on a circle in the xy-plane , with a…

A: Given and known values: Frequency f = 1.2 × 1012 Hz. Mass of electron m = 9.1 × 10-31 kg Charge of…

Q: An electron of kinetic energy 1.31 keV circles in a plane perpendicular to a uniform magnetic field.…

Q: A 12.2-keV electron that is moving perpendicular to the Earth's magnetic field, Bo = 50 μT, passes…

A: We will answer questions (b) and (c) using expression for electric and magnetic force on a charged…

Q: A particle is shot horizontally with velocity v = 1000 m/s between two large parallel plates. The…

A: (a) Here the potential difference is V=4000V Then the electric field will be E=Vd=40000.1=40000V/m…

Q: Electron, accelerated from rest through a PD of 3kV; enter a region of uniform magnetic field, the…

A: Concept used: Electric field provides kinetic energy to the electron. Magnetic field provides…

Q: A metal rod, 10 cm long is moving with a speed of 10 m/s perpendicular to a uniform magnetic field…

A: When the rod moves throught the magnetic field, the electrons present in the rod will experience…

Q: A uniform magnetic field of magnitude 0.20Tis directed along the positive x axis. A positron moving…

A: Given that,B=0.2Tv=1×107 m/sAngle with field is 80°mp=9.11×10-31 kgq=1.6×10-19 CWe know that,Pitch…

Q: Consider a region where a 1.85-volt-per-meter electric field and a 2.49-tesla magnetic field exist…

A: Given: the electric field is E=1.85 N/m The magnetic field is B=2.49 T. The charge is q=4.72 C. The…

Q: We have discussed in the lectures that on the equator earth’s magnetic field is approximately 50µT…

Q: Compare the magnetic potential energies (in eV) of an electron and of a proton in a magnetic field…

A: The magnetic moment of a charge particle such as electron and proton is given as For electron:…

Q: A beam of protons enters a uniform magnetic field as illustrated below. The beam formed a quarter of…

A: Given Info: The velocity (v) of an beam of proton is 1.8 km/s enters into the uniform field and…

Q: A nucleus with 44 protons travels at a velocity of 2.05 x 10^6 m/s through a region of uniform…

A: Given,charge on nucleus having 44 protons,q = 44 x 1.6x10-19 C = 7.04 × 10-18 C…

Q: A particle has been ionized so that it has a charge +6.4 C, but it has an unknown mass. The…

A: Cyclotron Motion When a charged particle of charge q enters a region of a magnetic field B→ with…

Q: Compute the resonance frequency of free protons in a magnetic field of (a) 0.5 × 10-4T (the…

A: The resonance frequency of free protons in given magnetic field is given by The value of

Q: Suppose our E-field measurement has an uncertainty of 0.75 kV/m and our radius of curvature…

A: Given:- E-field measurement has an uncertainty ∆E = 0.75 kV/m The uncertainty in the radius of…

Q: A nucleus with 8 protons travels at a velocity of 9.29 x 10^6 m/s through a region of uniform…

A: Given: The number of protons in the nucleus is 8. The speed of the nucleus is 9.29x106 m/s. The…

Q: The magnetic field in a cyclotron is 1.29 T, and the maximum orbital radius of the circulating…

A: The cyclotron works on the principle that a positively charged particle can be accelerated to…

Q: 2. Using conservation of energy, show that the speed v of an electron leaving your "electron gun"…

A: Solution Given dataUsing conservation of energy show that the speed v of an electron leaving…

Q: Strategy The period of revolution is approximately the distance traveled in a circle divided by the…

A: Given data: The value of accelerating voltage is V=3000 volt The radius of the instrument is R=30 cm…

Q: A proton, deuteron, and an alpha-particle are all accelerated from rest through the same potential…

Q: A nucleus with 35 protons travels at a velocity of 8.61 x 10^6 m/s through a region of uniform…

A: Given -Charge on nucleus having 18 protons, q = 35 x 1.6 x 10-19 C (since charge on 1…

Q: A -0.51 pC hypothetical charge weighing 34 fg travels in a circular path at 23 km/s that is…

Q: A proton, a deuteron and and particle having same kinetic energy are moving in circular trajectories…

A: Proton, deuteron, and α particle having same kinetic energy mass of the deuteron, md = 2mpmass of…

Q: Singly-ionized particles with mass, m = 3.34 x 10-27 kg, are produced by an ion source and…

A: Given that: m=3.34×10-27 kgVapp=245 VB→=2.57 mT=2.57×10-3 Td=47.5 cm=0.475 mq=1.6×10-19 C (As…

Q: n an experiment similar to Thompson's experiment, deflecting plates 7.0cm in length with an electric…

A: Given: Length,L=7cm=7×10-2mElectric Field,E=1×104V/mMagnetic Field,B=8×10-4TAngle,θ=300 A magnetic…

Q: Alpha particles, each having a charge of +4qe and a mass of 6.64 × 10-27 kg, are accelerated in a…

Q: An electron of kinetic energy 1.20 keV circles in a plane perpendicular to a uniform magnetic field.…

A: Given, Kinetic energy, K=1.2keVK=1.2×103×1.6×10-19J The radius of the orbit, r=25cmr=0.25m a. The…

Q: The cyclotron frequency of an emitting electromagnetic wave is f = 2450 MHz. What magnetic field…

A: Given: Mass of proton (M) = 1.67×10-27 kg Charge on a proton (q) = 1.6 x 10-19 C Intensity if…

Q: A beam of electrons travelling with speed 1.2 × 107ms-1 in an evacuated tube is made to move in a…

A: Given that: v=1.2×107 ms-1B=1.4 mT=1.4×10-3 TRelectron=0.048 mEproton=500 GeV=500×109…

Q: A nucleus with 18 protons travels at a velocity of 6.37 x 10^6 m/s through a region of uniform…

A: Given - Charge on nucleus having 18 protons, q = 18 x 1.6 x 10-19 C (since charge on…

Q: An electron of kinetic energy 1.66 keV circles in a plane perpendicular to a uniform magnetic field.…

A: Given that:- Kinetic energy of electron=1.66KeV Radius of circle=21.2cm

Q: A velocity selector uses a fixed electric field of magnitude E and the magnetic field is varied to…

Q: An alpha particle (q = 3.2×10-19 C) is launched with a velocity of 5.2×104 m/s at an angle of 35°…

Q: Consider the mass spectrometer shown schematically in the figure below. The magnitude of the…

A: Given data: Electric field, E = 2.10×103V Magnetic field, B = 0.0300 T Mass, m =…

Q: Consider the mass spectrometer shown schematically in the figure below. The magnitude of the…

A: Ion moves in circular path when the magnitude of electric force equals the magnetic force. So, the…

Q: An electron moves in an uniform magnetic field (with the orbital plane perpendicular to the field).…

Q: A 64-pC hypothetical charge of mass 44 fg travels at 81 km/s. It is ejected southward thus entering…

A: In this case magnetic force provide centripetal force due to that charge moves in a circular path

Q: An electron of kinetic energy 0.977 keV circles in a plane perpendicular to a uniform magnetic…

Q: An electron of kinetic energy 1.60 keV circles in a plane perpendicular to a uniform magnetic field.…

Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in uniform magnetic field.
What should be the energy of an α-particle to describe a circle of same radius in the same field ?

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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 proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?
The force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?
A mystery particle enters the region between the plates of a Thomson apparatus as shown in Figure 4.6. The deflection angle θ is measured to be 0.20 radians (downwards) for this particle when V = 2000 V, ℓ = 10.0 cm, and d = 2.00 cm. If a perpendicular magnetic field of magnitude 4.57 × 10−2 T is applied simultaneously with the electric field, the particle passes through the plates without deflection. (a) Find q/m for this particle. (b) Identify the particle. (c) Find the horizontal speed with which the particle entered the plates. (d) Must we use relativistic mechanics for this particle?
An electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept at a potential difference of 300 V. What is the strength of the uniform magnetic field B that will allow the electron to travel undeflected through the plates? Assume E and B are perpendicular.
OResources A Give Up? 3.6% A beam of protons is directed in a straight line along the positive z-direction through a region of space in which there are crossed electric and magnetic fields. If the electric field magnitude is E = 430 V/m in the negative y-direction and the protons move at a constant speed of v = 8.7 x 10° m/s, what must the direction and magnitude of the magnetic field be in order for the beam of protons to continue undeflected along its straight-line trajectory? Select the direction of the magnetic field B. O positive y-direction O positive x-direction negative z-direction O negative y-direction O positive z-direction O negative x-direction magnitude of the magnetic field B: about us careers privacy policy terms of use contact us help 87°F Rain coming PrtScn F8 Home End F10 PgUp F11 PgDn F12 F3 F4 ES F6 F7 F9 8. %3D T. Y U * CO %24 14
An electron with an energy of 100 eV is revolving in a uniform magnetic field of magnitude 45.0 micro Tesla. Calculate the radius of the path of this electron if its velocity which is 320 km/s is perpendicular to the magnetic field.
An electron of kinetic energy 0.977 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius is 35.3 cm. Find (a) the electron's speed, (b) the magnetic field magnitude, (c) the circling frequency, and (d) the period of the motion.
A charged particle is injected at 121 m/s into a 0.0721-T uniform magnetic field perpendicularly to the field. The diameter of its orbit is measured and found to be 0.0491 m. What is the charge-to-mass ratio of this particle? charge-to-mass ratio: C/kg
In a magnetic field, B = 0.5 T, for what path radius will an electron circulate with speed of 3 ×107 m/s. (FB = FC)?
In a particular decay process, two charged particles, labeled "A" and "B" were released, which enter into a region of magnetic field with different speeds as shown. The magnetic field is uniform pointing into the page. One of the particles curves to the left, while the other curved to the right. What is the nature of the charged on the particle? Hint : Use the right hand rule X X X X X X X X X X X X X V A VBX X X X X X X X A B O A = positively charged ; B = negatively charged Both are positively charged since the direction of curving ONLY depends on the speed Both are negatively charged since the direction of curving ONLY depends on the speed B = positively charged ; A = negatively charged X.
In a uniform magnetic field, B~ = −4.0 mT bk a proton is ejected with the velocity~v =105 m/s bi − 104 m/s bk.(Take q = 1, 6x10−19 C, mass of proton=1, 6x10−27 kg, π = 3.14)a) What is the diameter of the helix orbit (in unit of cm) that the proton will draw?b) What is the distance between helix steps (in unit of cm)?
A hypothetical charge of 31 pC with a mass of 77 fg has a speed of 48 km/s and is ejected southward entering a uniform magnetic field of unknown magnitude and direction. If the path traced is clockwise, K A. Find the magnitude and direction of the magnetic field that will cause the charge to follow a semicircular path (given the diameter of 18 m). B. Find the time required for the charge to complete a semi-circular path from point K to point L. C. Find the magnitude and the direction of the magnetic force at point L.