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A mass spectrometer consists of an accelerating potential (togive the ion moment

ID: 1740984 • Letter: A

Question

A mass spectrometer consists of an accelerating potential (togive the ion momentum) and a uniform magnetic field (tomomentum analyze the ion). The mass spectrometer using a beamof doubly ionized sodium atoms has the following settings: magnetic field is 0.0787 T the charge of an atom is 3.20435e-19 C the radius of the orbit is 0.0721 m the potential difference is 154 V Calculate the mass of a sodium atom A mass spectrometer consists of an accelerating potential (togive the ion momentum) and a uniform magnetic field (tomomentum analyze the ion). The mass spectrometer using a beamof doubly ionized sodium atoms has the following settings: magnetic field is 0.0787 T the charge of an atom is 3.20435e-19 C the radius of the orbit is 0.0721 m the potential difference is 154 V Calculate the mass of a sodium atom

Explanation / Answer

magnetic field B = 0.0787 T the charge of an atom q = 3.20435e-19 C the radius of the orbit R = 0.0721 m the potential difference V = 154 V the mass of a sodium atom m = ? Speed of the ion v = [ 2 V q / m ] where q = 3.20435e-19 C            m= mass of ion In magnetic field , B v q = m v ^ 2 / R                              B q = m v / R                                     = m {  [ 2 V q / m ] } / R                          Bq R = [ 2 Vq m ] from this mass of the ion   m = ( B q R )2 / ( 2 V q ) substitue all values weget answer
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