A physicist builds an apparatus to measure the charge to mass ratio of ions. An ion is first accelerated to a speed of 6.50 × 107 m/s. It then passes through a region of magnetic field, with a magnitude of 4.09 x 10-2 T, perpendicular to the ion's velocity. Because the ion is moving so fast, it is only in the presence of the magnetic field for 2.00 × 10-7 s. Upon exiting the magnetic field, the scientist measures that the ion was deflected a distance of 3.00 cm in a direction perpendicular to its initial velocity. (a) What is the ratio of the absolute value of the ion's charge to its mass (in C/kg)? Assume the velocity change is small, and that the component of the velocity along the ion's original direction does not change noticeably. C/kg |q| m = (b) Suppose the physicist determines the ion is singly charged; that is, the magnitude of its charge is that of a proton. What is the mass of the ion (in kg)? kg
A physicist builds an apparatus to measure the charge to mass ratio of ions. An ion is first accelerated to a speed of 6.50 × 107 m/s. It then passes through a region of magnetic field, with a magnitude of 4.09 x 10-2 T, perpendicular to the ion's velocity. Because the ion is moving so fast, it is only in the presence of the magnetic field for 2.00 × 10-7 s. Upon exiting the magnetic field, the scientist measures that the ion was deflected a distance of 3.00 cm in a direction perpendicular to its initial velocity. (a) What is the ratio of the absolute value of the ion's charge to its mass (in C/kg)? Assume the velocity change is small, and that the component of the velocity along the ion's original direction does not change noticeably. C/kg |q| m = (b) Suppose the physicist determines the ion is singly charged; that is, the magnitude of its charge is that of a proton. What is the mass of the ion (in kg)? kg
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...
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A physicist builds an apparatus to measure the charge to mass ratio of ions. An ion is first accelerated to a speed of 6.50 ✕ 107 m/s. It then passes through a region of magnetic field, with a magnitude of 4.09 ✕ 10−2 T, perpendicular to the ion's velocity. Because the ion is moving so fast, it is only in the presence of the magnetic field for 2.00 ✕ 10−7 s. Upon exiting the magnetic field, the scientist measures that the ion was deflected a distance of 3.00 cm in a direction perpendicular to its initial velocity.
(a)
What is the ratio of the absolute value of the ion's charge to its mass (in C/kg)? Assume the velocity change is small, and that the component of the velocity along the ion's original direction does not change noticeably.
|q| |
m |
(b)
Suppose the physicist determines the ion is singly charged; that is, the magnitude of its charge is that of a proton. What is the mass of the ion (in kg)?
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