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B a) Write down an algebraic equation for the diameter D of the charged particle's circular path in a magnetic field. If necessary, you may derive the equation starting from Newton's 2nd Law with centripetal acceleration. Include the equation in the work you submit in the even-numbered question that follows. . b) Calculate this diameter value for singly-ionized oxygen-16 based on the given values. Enter the numerical value in the box below, with two digits after the decimal, in units of meters. This is the fixed distance between the entry and exit holes in the device shown above. c) Suppose you want to re-tune the magnetic field so that now oxygen-18 passes into the detector by following the circular path as before. This new isotope is 18/16 16 = 1.125 times more massive, but the charge and speed are the same as before. What is the new value of the magnetic field that will make that happen? Report the numerical value in the work you submit below. Be sure to include two digits after the decimal, as well as the appropriate units.

B a) Write down an algebraic equation for the diameter D of the charged particle's circular path in a magnetic field. If necessary, you may derive the equation starting from Newton's 2nd Law with centripetal acceleration. Include the equation in the work you submit in the even-numbered question that follows. . b) Calculate this diameter value for singly-ionized oxygen-16 based on the given values. Enter the numerical value in the box below, with two digits after the decimal, in units of meters. This is the fixed distance between the entry and exit holes in the device shown above. c) Suppose you want to re-tune the magnetic field so that now oxygen-18 passes into the detector by following the circular path as before. This new isotope is 18/16 16 = 1.125 times more massive, but the charge and speed are the same as before. What is the new value of the magnetic field that will make that happen? Report the numerical value in the work you submit below. Be sure to include two digits after the decimal, as well as the appropriate units.

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11111 TEE MIXE ME ISASIE 1110 1 11F FRIT 111 Do all of the following: a) Write down an algebraic equation for the diameter D of the charged particle's circular path in a magnetic field. If necessary, you may derive the equation starting from Newton's 2nd Law with centripetal acceleration. Include the equation in the work you submit in the even-numbered question that follows. गाना TE EHE (2 GRE TE ONE TEDE b) Calculate this diameter value for singly-ionized oxygen-16 based on the given values. Enter the numerical value in the box below, with two digits after the decimal, in units of meters. This is the fixed distance between the entry and exit holes in the device shown above. c) Suppose you want to re-tune the magnetic field so that now oxygen-18 passes into the detector by following the circular path as before. This new isotope is 18/16 = 1.125 times more massive, but the charge and speed are ICM the same as before. What is the new value of the magnetic field that will make that happen? Report the numerical value in the work you submit 19TENSIOMETEN lema below. Be sure to include two digits after the decimal, as well as the utamic Remitism 1115 TIE manten appropriate units. OMAMOS TE Your Answer: 11 11-11- Itatan [E IAMEM Im 111- Answer 13 11F ISHONC TOMT l-intr lamp MEE HE fem THE En F delitten BEE danach
Transcribed Image Text:11111 TEE MIXE ME ISASIE 1110 1 11F FRIT 111 Do all of the following: a) Write down an algebraic equation for the diameter D of the charged particle's circular path in a magnetic field. If necessary, you may derive the equation starting from Newton's 2nd Law with centripetal acceleration. Include the equation in the work you submit in the even-numbered question that follows. गाना TE EHE (2 GRE TE ONE TEDE b) Calculate this diameter value for singly-ionized oxygen-16 based on the given values. Enter the numerical value in the box below, with two digits after the decimal, in units of meters. This is the fixed distance between the entry and exit holes in the device shown above. c) Suppose you want to re-tune the magnetic field so that now oxygen-18 passes into the detector by following the circular path as before. This new isotope is 18/16 = 1.125 times more massive, but the charge and speed are ICM the same as before. What is the new value of the magnetic field that will make that happen? Report the numerical value in the work you submit 19TENSIOMETEN lema below. Be sure to include two digits after the decimal, as well as the utamic Remitism 1115 TIE manten appropriate units. OMAMOS TE Your Answer: 11 11-11- Itatan [E IAMEM Im 111- Answer 13 11F ISHONC TOMT l-intr lamp MEE HE fem THE En F delitten BEE danach
STRE CHEIDE CUAD TEHE To better understand the Earth's climate history, you are using a mass spectrometer to distinguish different isotopes of oxygen in an ice core sample from an old glacier. The various isotopes are all moving at V = 5.1 X106 m/s when they enter a chamber containing a uniform magnetic field B=0.9 T. The isotope that is currently entering the detector is singly-ionized oxygen-16, with a mass of m= 2.66X10-26 kg and a charge of te. 24.96-191-88 IGHET Beam of oxygen atoms IDEAOMETTE Detector ISTENENET Do all of the following: FLET 196 TEMEIETENEI D DEMET B 12:50STATER 2690 202020 . a) Write down an algebraic equation for the diameter D of the charged Nemamo particle's circular path in a magnetic field. If necessary, you may derive the equation starting from Newton's 2nd Law with centripetal acceleration. Include the equation in the work you submit in the even-numbered question that follows. gagaga THE 259 [1 MESED E Chitta COCINO ELE
Transcribed Image Text:STRE CHEIDE CUAD TEHE To better understand the Earth's climate history, you are using a mass spectrometer to distinguish different isotopes of oxygen in an ice core sample from an old glacier. The various isotopes are all moving at V = 5.1 X106 m/s when they enter a chamber containing a uniform magnetic field B=0.9 T. The isotope that is currently entering the detector is singly-ionized oxygen-16, with a mass of m= 2.66X10-26 kg and a charge of te. 24.96-191-88 IGHET Beam of oxygen atoms IDEAOMETTE Detector ISTENENET Do all of the following: FLET 196 TEMEIETENEI D DEMET B 12:50STATER 2690 202020 . a) Write down an algebraic equation for the diameter D of the charged Nemamo particle's circular path in a magnetic field. If necessary, you may derive the equation starting from Newton's 2nd Law with centripetal acceleration. Include the equation in the work you submit in the even-numbered question that follows. gagaga THE 259 [1 MESED E Chitta COCINO ELE
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