Question

Problem 2. The isotopes magnesium-24 (mass 24 amu) and magnesium-26 (mass 26 amu) are to be...

Problem 2. The isotopes magnesium-24 (mass 24 amu) and magnesium-26 (mass 26 amu) are to be separated using a mass spectrometer in which the magnetic field magnitude is 0.577 T. Both are singly ionized (charge e). What is the minimum value of the potential difference V through which these ions must be accelerated if the separation distance between them on the detector screen must be 2.60 mm? [Hint: we showed in class that the orbital radius of a particle of mass m and charge q in the magnetic region satisfies (q/m)r 2B2 = 2V . Start from here.]

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Chlorine has two stable isotopes, 35Cl and 37Cl. Chlorine gas which consists of singly ionized ions...
Chlorine has two stable isotopes, 35Cl and 37Cl. Chlorine gas which consists of singly ionized ions is to be separated into its isotopic components using a mass spectrometer. The magnetic field strength in the spectrometer is 1.2 T. What is the minimum value of the potential difference through which these ions must be accelerated so that the separation between them, after they complete their semicircular path, is 1.5 cm?
Chlorine has two stable isotopes, 35Cl and 37Cl. Chlorine gas which consists of singly ionized ions...
Chlorine has two stable isotopes, 35Cl and 37Cl. Chlorine gas which consists of singly ionized ions is to be separated into its isotopic components using a mass spectrometer. The magnetic field strength in the spectrometer is 1.2 T. What is the minimum value of the potential difference through which these ions must be accelerated so that the separation between them, after they complete their semicircular path, is 1.6 cm? ........................MV
Magnesium has three naturally occurring isotopes: Mg-24 with mass 24.3050 amu and a natural abundance of...
Magnesium has three naturally occurring isotopes: Mg-24 with mass 24.3050 amu and a natural abundance of 78.99 %, Mg-25 with mass 24.9858 amu and a natural abundance of 10.00 %, and Mg-26 with mass 25.9826 amu and a natural abundance of 11.01 %.
Atom 1 of mass 30.9 u and atom 2 of mass 32.2 u are both singly...
Atom 1 of mass 30.9 u and atom 2 of mass 32.2 u are both singly ionized with a charge of +e. After being introduced into a mass spectrometer (see the figure below) and accelerated from rest through a potential difference V = 7.40 kV, each ion follows a circular path in a uniform magnetic field of magnitude B = 0.570 T. What is the distance Δx between the points where the ions strike the detector?
Singly-ionized carbon atoms are accelerated through 1050 V and passed into a mass spectrometer to determine...
Singly-ionized carbon atoms are accelerated through 1050 V and passed into a mass spectrometer to determine the isotopes present. The magnetic field strength in the spectrometer is 0.250 T. (a) Determine the orbital radii for the 12C and 13C isotopes as they pass through the field. r1 = cm (12C) r2 = cm (13C) (b) Show that the ratio of the radii may be written in the form r1/r2 = sqrt m1/m2 by verifying that your radii in part (a)...
A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge...
A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge from the velocity selector at a speed of 2.92 ✕ 105 m/s and enter a uniform magnetic field of 0.605 T directed perpendicularly to the velocity of the ions. What is the distance between the impact points formed on the photographic plate by singly charged ions of 235U and 238U? cm
A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18, taken...
A mass spectrometer is being used to separate common oxygen-16 from the much rarer oxygen-18, taken from a sample of old glacial ice. (The relative abundance of these oxygen isotopes is related to climatic temperature at the time the ice was deposited.) The ratio of the masses of these two ions is 16 to 18, the mass of oxygen-16 is 2.66 ? 10?26 kg, and they are singly charged and travel at 2.60 ? 106 m/s in a 1.70 T...
A) Equally charged chlorine ions of mass 37 amu now enter the spectrometer. How close to...
A) Equally charged chlorine ions of mass 37 amu now enter the spectrometer. How close to the detector slit will they impact? B) A point charge moving in a magnetic field of 1.18 Tesla experiences a force of 0.774E-11 N. The velocity of the charge is perpendicular to the magnetic field.In this problem, we use the points of the compass and `into' and `out of' to indicate directions with respect to the page. If the magnetic field points south and...
A mass spectrometer is a device for separating particles of different masses from a mixture. For...
A mass spectrometer is a device for separating particles of different masses from a mixture. For example, the technology is used to investigate qualitative and quantitative changes within thousands of biologically active components such as proteins, lipids and metabolites. A mass spectrometer consists of three sections: The accelerator The velocity selector The magnetic chamber (1) Accelerator (acc): In the accelerator, there is only an uniform Electric field due to a potential difference Vacc across two vertical plates separated from a...
A mass spectrometer is a device for separating particles of different masses from a mixture. For...
A mass spectrometer is a device for separating particles of different masses from a mixture. For example, the technology is used to investigate qualitative and quantitative changes within thousands of biologically active components such as proteins, lipids and metabolites. A mass spectrometer consists of three sections: The accelerator The velocity selector The magnetic chamber (1) Accelerator (acc): In the accelerator, there is only an uniform Electric field due to a potential difference Vacc across two vertical plates separated from a...