Problem 4=The figure below shows a mass spectrometer, a device used to measure the masses of ions.Consider a positive ion of unknown mass m and charge q 4.8 x 10-19 C. The ion is firstaccelerated from rest through a potential difference AV inside a source. After leaving the source,it travels rightward at constant speed and enters a region of uniform magnetic field B 3.5 Tdirected out of the page. The ion then moves in a semicircle of radius r within the field, strikinga plate at a vertical distance x = 12 m below its point of entry. Ignore the effect of gravity.(a)(b)(c)SᎪᏤ+qO QODetermine the mass m of the ion.BoutFind the potential difference AV (with correct magnitude and sign) through which the ionis accelerated if it attains a kinetic energy of 6.0 x 10-16 J upon leaving the source.Suppose it is desired that the ion travel through the magnetic-field region without beingdeflected (i.e., at constant speed along a straight line). In addition to the magnetic field,there would need to be an electric field in this region. What is the required direction of theelectric field? Justify your answer clearly.

Answered: Image /qna-images/answer/a54646da-fcef-427a-8b83-bedcb5a223ed.jpg

Problem 4 = The figure below shows a mass spectrometer, a device used to measure the masses of ions. Consider a positive ion of unknown mass m and charge q 4.8 x 10-19 C. The ion is first accelerated from rest through a potential difference AV inside a source. After leaving the source, it travels rightward at constant speed and enters a region of uniform magnetic field B = 3.5 T directed out of the page. The ion then moves in a semicircle of radius r within the field, striking a plate at a vertical distance x = 12 m below its point of entry. Ignore the effect of gravity. (a) (b) (c) S ΔΙ +q O Determine the mass m of the ion. 0 0 0 0 0 0,00 000 O QO 0 0 0 0 0 0 0 0 0 0 0 0 out Find the potential difference AV (with correct magnitude and sign) through which the ion is accelerated if it attains a kinetic energy of 6.0 x 10-16 J upon leaving the source. Suppose it is desired that the ion travel through the magnetic-field region without being deflected (i.e., at constant speed along a straight line). In addition to the magnetic field, there would need to be an electric field in this region. What is the required direction of the electric field? Justify your answer clearly.

Problem 4 = The figure below shows a mass spectrometer, a device used to measure the masses of ions. Consider a positive ion of unknown mass m and charge q 4.8 x 10-19 C. The ion is first accelerated from rest through a potential difference AV inside a source. After leaving the source, it travels rightward at constant speed and enters a region of uniform magnetic field B = 3.5 T directed out of the page. The ion then moves in a semicircle of radius r within the field, striking a plate at a vertical distance x = 12 m below its point of entry. Ignore the effect of gravity. (a) (b) (c) S ΔΙ +q O Determine the mass m of the ion. 0 0 0 0 0 0,00 000 O QO 0 0 0 0 0 0 0 0 0 0 0 0 out Find the potential difference AV (with correct magnitude and sign) through which the ion is accelerated if it attains a kinetic energy of 6.0 x 10-16 J upon leaving the source. Suppose it is desired that the ion travel through the magnetic-field region without being deflected (i.e., at constant speed along a straight line). In addition to the magnetic field, there would need to be an electric field in this region. What is the required direction of the electric field? Justify your answer clearly.

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 long straight wire carries a 1.5 A current. An electron moves parallel to the wire at speed 3.1 x 104 m/s. The distance between the electron and the wire is 8 cm. Calculate the magnitude of the magnetic force on the electron.(Give your answer in newtons but don't include the units.)
See the attached figure for this problem. A charge of 9.26 x 10^6 C moves to the right as shown through a region containing both a magnetic field of strength 2.94 T directed into the screen and an electric field of strength 6.76 x 10^5 N/C directed downward. The charge continues through the region at a constant velocity (no acceleration). What is the charge s speed?
A proton is travelling through a bubble chamber in a direction perpendicular to the chamber's uniform magnetic field of 0.5 T. If its path follows a circle of radius 115 µm, how fast is it going, in m/s?
A beam of electrons moving with speed v = 2.6 × 10’m/s enter and then leave the rectangular region of the magnetic field, as shown below. The trajectory of electrons is a quarter of a circle of radius R= 0.020 m. Mass of electron m = 9.11 x 10-31 kg, charge of electron charge q = 1.6 × 10-19 C). The magnitude and direction of the magnetic field are: %3D %3D the region of the magnetic field a. 0.45 T, perpendicular to the page, into the page Ob. 0.74 T, perpendicular to the page, out of the page Oc. 0.45 T, perpendicular to the page, out of the page С. O d. 0.074 T, perpendicular to the page, into the page e. 0.68 T, perpendicular to he page, into the page
An electron moves in a circular path perpendicular to a magnetic field of magnitude 0.280 T. If the kinetic energy of the electron is 2.60 x 10-19 J, find the speed of the electron and the radius of the circular path. (a) the speed of the electron X Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (b) the radius of the circular path X Your response differs from the correct answer by more than 10%. Double check your calculations. μm
Problem 5: An electron (q= -e = -1.60 × 10-19 C and me = 9.11 × 10-31 kg) in a cathode-ray tube is accelerated through a potential difference of 10 kV. Thus, the electron leaves the cathode-ray tube with a speed v = 5.93 × 107 m/sec. The electron then passes through the 2.0 cm wide region of uniform magnetic field (shown in the Figure above on the right). What field strength will deflect the electron by 10°? Answer: B = 0.0029 T. OV 10 kV 2.0 cm 10°
An electron moves in a circular path perpendicular to a magnetic field of magnitude 0.240 T. If the kinetic energy of the electron is 4.10 x 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
An electron is in a region of space containing a uniform 1.51 × 10-5 T magnetic field. The electron's speed is 117 m/s and it travels perpendicularly to the field. Under these conditions, the electron undergoes circular motion. What is the radius r of the electron's path? What is the frequency f of the electron's motion? r = f = m Hz
A proton is accelerated from rest by an electric potential difference of 462 V, and then enters a region of uniform magnetic field. The magnetic field is oriented perpendicular to the velocity with a magnitude of 78.9 mT. What will the radius of the proton's path be once it enters the magnetic field?
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 65.0-cm-diameter cyclotron uses a 470 V oscillating potential difference between the dees. F2 سولو 3 E in 1 8.0 C F3 $ 4 OF D R a F4 V % 5 T G & F5 A 6 B Y Part A What is the maximum kinetic energy of a proton if the magnetic field strength is 0.660 T? Express your answer with the appropriate units. Y Fó μÅ 3.313-10-13 J Submit Part B. H X Incorrect; Try Again; 4 attempts remaining How many revolutions does the proton make before leaving the cyclotron? Provide Feedback Previous Answers Request Answer IVE ΑΣΦ 5 → C ZANG ? 2202.79 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining & 7 N ← F7 U J BANNA ? * CO 8 DII FO M | ( 9 K DD F9 O < E 22 ) O L A F10 command P di F11 ; T { + [ option (1) = F12 Nex } 1 11
A magnetic field has a magnitude of 0.00093 T, and an electric field has a magnitude of 5.8 x 10³ N/C. Both fields point in the same direction. A positive 1.7-μC charge moves at a speed of 3.7 x 106 m/s in a direction that is perpendicular to both fields. Determine the magnitude of the net force that acts on the charge. Number i Units BA 90° V AE