Question

Notify Me Bookmark

An ion with a mass m and a magnitude of charge of 1 e is initially at rest when it is accelerated by a potential difference of magnitude ΔV. After exiting the accelerating potential, it enters a region with a uniform magnetic field perpendicular to the ion's velocity. The ion moves in a semicircle of radius R. Next, an ion with a mass m′ and a magnitude of charge of 4e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R′ = 3R. Find the ratio of the ion masses, m′/m. m′/m =

An ion with a mass m and a magnitude of charge of 1 e is initially at rest when it is accelerated by a potential difference of magnitude ΔV. After exiting the accelerating potential, it enters a region with a uniform magnetic field perpendicular to the ion's velocity. The ion moves in a semicircle of radius R. Next, an ion with a mass m′ and a magnitude of charge of 4e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R′ = 3R. Find the ratio of the ion masses, m′/m. m′/m =

Image text
An ion with a mass m and a magnitude of charge of 1 e is initially at rest when it is accelerated by a potential difference of magnitude Δ V . After exiting the accelerating potential, it enters a region with a uniform magnetic field perpendicular to the ion's velocity. The ion moves in a semicircle of radius R .
Next, an ion with a mass m ′ and a magnitude of charge of 4 e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R ′ = 3 R . Find the ratio of the ion masses, m ′ / m .
m ′ / m =
◻

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

An a-particle has a charge of +2 e and a mass of 6.64×10−27 kg. It is accelerated from rest through a potential difference that has a value of 1.93×106 V and then enters a uniform magnetic field whose magnitude is 2.29 T. The a-particle moves perpendicular to the magnetic field at all times. What is (a) the speed of the a-particle, (b) the magnitude of the magnetic force on it, and (c) the radius of its circular path? (a) Number Units (b) Number Units (c) Number Units
Solution
0 0

A scientist builds an apparatus to measure the charge to mass ratio of ions. An ion is first accelerated to a speed of 4.50×107 m/s. It then passes through a region of magnetic field, with a magnitude of 2.44×10−2 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 = Cg (b) Suppose the scientist 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

Solution
0 0

The figure below shows a schematic diagram of a mass spectrometer. A charged particle enters a velocity selector, in which a uniform electric field E (created by charged plates) points to the right, and a magnetic field Bin points into the page. Upon exiting the velocity selector, the particle enters a deflection chamber with a magnetic field B→0,in. The particle travels a semicircular path until it hits a photographic plate at point P: Assume the particle is a singly charged ion with mass m = 2.12×10−26 kg. The magnitude of the electric field is 970 V/m, and the magnitude of both the magnetic field in the velocity selector and in the deflection chamber is 0.900 T. What is the radius r (in m) of the particle's path in the deflection chamber? m
Solution
0 0