(a) An alpha particle (m=6.64 x 10-27 kg) contains two protons and two neutrons has no electrons to balancethe positive charge of the two protons, hence it has a charge of +2. (Given charge of a proton is 1.6 x 10-19C).Assume one such alpha particle travels in a circular path of radius 28 cm in a uniform magnetic field ofmagnitude 2.25T.(i) What is the speed of the alpha particle ?(b) If an electron of (m=9.11x10-3'kg) travels with the same speed as of the alpha particle in the samemagnetic field,(1) Calculate the radius of the circular path traced by the electron?(ii) Also, calculate the ratio of the radius of the electron to the radius of the alpha particle?

Answered: Image /qna-images/answer/dc16e852-5d71-480b-aedd-fbd3a080c657.jpg

(a) An alpha particle (m=6.64 x 10-27 kg) contains two protons and two neutrons has no electrons to balance the positive charge of the two protons, hence it has a charge of +2. (Given charge of a proton is 1.6 x 10-19C Assume one such alpha particle travels in a circular path of radius 28 cm in a uniform magnetic field of magnitude 2.25T. (1) What is the speed of the alpha particle ? (b) If an electron of (m=9.11x10-3'kg) travels with the same speed as of the alpha particle in the same magnetic field, (i) Calculate the radius of the circular path traced by the electron?

(a) An alpha particle (m=6.64 x 10-27 kg) contains two protons and two neutrons has no electrons to balance the positive charge of the two protons, hence it has a charge of +2. (Given charge of a proton is 1.6 x 10-19C Assume one such alpha particle travels in a circular path of radius 28 cm in a uniform magnetic field of magnitude 2.25T. (1) What is the speed of the alpha particle ? (b) If an electron of (m=9.11x10-3'kg) travels with the same speed as of the alpha particle in the same magnetic field, (i) Calculate the radius of the circular path traced by the electron?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 10 micro-Coulomb charge moves in the X-Y plane with a velocity 5x10° m/s making an angle of 60° with the x-axis. If a magnetic field of 2 T is applied along the +y axis, the magnetic force on the electron is
An electron moves in a circular path perpendicular to a magnetic field of magnitude 0.215 T. If the kinetic energy of the electron is 4.20 × 10-19 J, find the speed of the electron and the radius of the circular path. (a) the speed of the electron m/s (b) the radius of the circular path μm
In the model of the hydrogen atom proposed by Niels Bohr in 1913, an electron circles a proton at a distance of 5.29x10^-11m, with a velocity of 2.19x10^6m / s. (a) What value of current produces the electron spinning around the proton? (b) What is the direction of the magnetic field produced by this current at the point where the proton is? (c) What is the magnitude of this magnetic field?
A uniform magnetic field B with a magnitude of 1.2 mT, is directed vertically upward throughout the volume of a laboratory chamber. A proton with kinetic energy 5.3 MeV enters the chamber, moving horizontally from south to north. What magnetic deflecting force acts on the proton as it enters the chamber? The proton mass is 1.67 x 10-27 kg. (Neglect Earth’s magnetic field)
1) A proton passes through a uniform magnetic field of magnitude 4.0 μT at a speed of 6.43x10^4 m/s. (a) What is the magnitude of maximum magnetic force it can experience? (b) If the proton is replaced by the electron, will it experience the same maximum force? Complete solution.
In a mass spectrometer, the mass of a particle is determined by it's circular path in a magnetic field of value B= 1T. Here, we consider a particle of charge q=te = 1.6 x 10"C that is accelerated across a potential difference AV :- 500 Volts. As shown, this particle enters a chamber with a uniform magnetic field. The particle makes a circular path and strikes the detector a distance I=8 Cm from where it entered the chamber. Part A Determine the mass of the particle. Vo AEO m 3= kg
A particle with a mass of 1.75×10^-3 kg and a charge of -15nC has a velocity v=(4.2×10^5m/s)i+(-6.5×10^5m/s)j when it enters a uniform magnetic field B= (1.25T)i. Find the (a) acceleration of the particle (b) the radius
An electron moves in a circular path perpendicular to a magnetic field of magnitude 0.260 T. If the kinetic energy of the electron is 4.30 × 10 -19 J, find the speed of the electron and the radius of the circular path. (a) the speed of the electron m/s (b) the radius of the circular path um
(a) At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 7.85 ✕ 106 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.20 ✕ 10−5 T? m/s (b) What would the radius (in m) of the path be if the proton had the same speed as the electron? m (c) What would the radius (in m) be if the proton had the same kinetic energy as the electron? m
An electron moves with a speed of 2 X106 m/s in a uniform magnetic field of magnitude 3 X10-2 T. (i) what is the maximum possible value of force and corresponding acceleration of the electron? (ii) If the acceleration is half the maximum value, what is the angle between the magnetic field and velocity of the electron?
The earth's magnetic field can affect the electron beam in an oscilloscope or a television tube. An electron that has been accelerated through a potential difference of 1.33 104 V has a horizontal initial velocity, directed north. Find the magnetic force on the electron when the earth's field has a horizontal component of 0.250 G and dips 60.0° below the horizontal (values typical in California) magnitude direction