Source -V-1.500 V Region of Magnetic Field B - |Positive zot of page) A mass spe
ID: 1474394 • Letter: S
Question
Source -V-1.500 V Region of Magnetic Field B - |Positive zot of page) A mass spectromet mass of singly ionized positively charged ions. There is a uniform magnetic field B - 0.20 tesla perpendicular to the page in the boxed region of the diagram. A potential difference V- 1,500 is applied across the parallel plates L and K which are separated by a distance d -0.012 meter and which act as a velocity selector. er, constructed as shown in the diagram above, is used for determining the In which direction, relative to the coordinate system shown above on the right, should the magnetic field point in order for positive ions to move along the path shown by the dashed line in the diagram? a) b) Should plate K have a positive or negative polarity with respect to plate L? c) Calculate the magnitude of the electric field between the plates Calculate the speed of a particle that can pass between the parallel plates without being deflected. d) e) Calculate the mass of a hypothetical singly charged ion that travels in a semicircle of radius R = 0.50 meter. f A doubly ionized positive ion of the same mass and velocity as the singly charge ion enters the mass spectrometer. What is the radius of its path?Explanation / Answer
a) in to the page
b) positive
c) E = delta_V/d
= 1500/0.012
= 1.25*10^5 N/c
d) Apply, Fe = FB
q*E = q*v*B
v = E/B
= 1.25*10^5/0.2
= 6.25*10^5 m/s
e) Apply, m*v^2/R = q*v*B
==> m = q*B*R/v
= 1.6*10^-19*0.2*0.5/(6.25*10^5)
= 2.56*10^-26 kg
f) Radius will be halved
R' = R/2
= 0.5/2
= 0.25 m
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