Now I advise you that start solving the problem in the order that I ask the questions. Neglect the electron masses. 1. The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should separate them very welI. For such an Isotope combination, the difference in radius should be around 1 cm. That is r - =1 cm. In order to achieve this, choose a magnetic field with a magnitude in Tesla (maximum magnetic field you can obtain from a 15 conventional magnet is around 2.5 T so be far away from this value) and choose the direction also. Then determine the velocity of isotope you need. Last calculate radius r of a Ph, smallest isotope. 2. In order to produce this magnetic field, determine the current and number of turns, radius and other parameters of a solenoid you need. Also show how you will position this solenoid. 10

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Now I advise you that start solving the problem in the order that I ask the
questions. Neglect the electron masses.
1. The mass difference between two isotopes is sometimes just a neutron
mass. The spectrometer should separate them very welI. For such an
Isotope combination, the difference in radius should be around 1 cm. That
is r - =1 cm. In order to achieve this, choose a magnetic field with a
magnitude in Tesla (maximum magnetic field you can obtain from a
15
conventional magnet is around 2.5 T so be far away from this value) and
choose the direction also. Then determine the velocity of isotope you need.
Last calculate radius r of a Ph, smallest isotope.
2. In order to produce this magnetic field, determine the current and number
of turns, radius and other parameters of a solenoid you need. Also show
how you will position this solenoid.
10
Transcribed Image Text:Now I advise you that start solving the problem in the order that I ask the questions. Neglect the electron masses. 1. The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should separate them very welI. For such an Isotope combination, the difference in radius should be around 1 cm. That is r - =1 cm. In order to achieve this, choose a magnetic field with a magnitude in Tesla (maximum magnetic field you can obtain from a 15 conventional magnet is around 2.5 T so be far away from this value) and choose the direction also. Then determine the velocity of isotope you need. Last calculate radius r of a Ph, smallest isotope. 2. In order to produce this magnetic field, determine the current and number of turns, radius and other parameters of a solenoid you need. Also show how you will position this solenoid. 10
Expert Solution
Step 1

Since we only answer up to 1 question, we’ll answer the 1st question only. Please resubmit the question and specify the other question you’d like answered.

Given: Diffrenece in radius r2-r1=1 cm=0.01 m

Difference in mass m2-m1=mass of neutron

Magnetic field, B=2.5 T direction is in or out of page (+z or -z )

q=82 e

 

 

Step 2

Solution: Radius of circle by a charged particle inside magnetic field is calculated by 

r=mvqB

For Pb205

r2=m2vqB

Now, for Pb204

r1=m1vqB

Subtracting rfrom r2

r2-r1=m2-m1vqB0.01 m=1.67×10-27 kg×v821.6×10-19 C2.5 Tv=0.01 m×821.6×10-19 C2.5 T1.67×10-27 kgv=1.96×108m.s-1

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