11111TEEMIXEMEISASIE1110111FFRIT111Do all of the following:a) Write down an algebraic equation for the diameter D of the chargedparticle's circular path in a magnetic field. If necessary, you may derive theequation starting from Newton's 2nd Law with centripetal acceleration.Include the equation in the work you submit in the even-numbered questionthat follows.गानाTEEHE(2GRETEONETEDEb) Calculate this diameter value for singly-ionized oxygen-16 based on thegiven values. Enter the numerical value in the box below, with two digitsafter the decimal, in units of meters. This is the fixed distance between theentry and exit holes in the device shown above.c) Suppose you want to re-tune the magnetic field so that now oxygen-18passes into the detector by following the circular path as before. This newisotope is 18/16 = 1.125 times more massive, but the charge and speed areICMthe same as before. What is the new value of the magnetic field that willmake that happen? Report the numerical value in the work you submit19TENSIOMETENlemabelow. Be sure to include two digits after the decimal, as well as theutamicRemitism 1115 TIEmantenappropriate units.OMAMOSTEYour Answer:1111-11-Itatan[EIAMEMIm 111-Answer1311FISHONCTOMTl-intrlampMEEHEfemTHEEnFdelittenBEEdanach STRECHEIDECUADTEHETo better understand the Earth's climate history, you are using a mass spectrometerto 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 achamber containing a uniform magnetic field B=0.9 T. The isotope that iscurrently entering the detector is singly-ionized oxygen-16, with a mass of m=2.66X10-26kg and a charge of te.24.96-191-88IGHETBeam ofoxygen atomsIDEAOMETTEDetectorISTENENETDo all of the following:FLET196TEMEIETENEIDDEMETB12:50STATER2690202020. a) Write down an algebraic equation for the diameter D of the chargedNemamoparticle's circular path in a magnetic field. If necessary, you may derive theequation starting from Newton's 2nd Law with centripetal acceleration.Include the equation in the workyou submit in the even-numbered questionthat follows.gagagaTHE259[1 MESEDEChittaCOCINOELE

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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.