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.

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 charged particle enters a mass spectrometer with uniform magnetic field B= .60 T pointing into the page. if the particle has mass m= 3.2 x10^-12 kg and is travelling at a speed of 5.0 x 10^5 m/s, then it is seen to curve in the magnetic field as shown and strikes a detector d=12.0 cm away from the point where it entered the mass spectrometer. what is the charge on the particle? a) +44 microC b) -44 microC c) -68 microC d) +68 microC

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 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