The mass spectrometer has a velocity selector followed by a region of uniform ma
ID: 2124740 • Letter: T
Question
The mass spectrometer has a velocity selector followed by a region of uniform magnetic field. In this example the magnetic field is shown pointing into the screen, and has magnitude 2.0 x 10-4 Tesla.
Part A
Positively charged ions enter the velocity selector as shown, and can pass through the velocity selector without being deflected so long as an appropriate electric field is present.
What is the direction of the electric field in the velocity selector?
What is the direction of the electric field in the velocity selector?
A single proton, with charge +q = +1.6 x 10-19 C with speed 5 x 106 m/s passes un-deflected through the velocity detector.
Determine the magnitude of the electric field in the velocity selector.
Determine the magnitude of the electric field in the velocity selector.
As shown in the figure, the distance between the plates of the velocity selector is 3.0 cm
What electric potential is applied across the plates to produce the electric field required in Part B?
What electric potential is applied across the plates to produce the electric field required in Part B?
When the proton passes into the region of only uniform magnetic field it will follow a curved path.
Find the radius of the proton's path. You may need to know that the mass of a proton is 1.67 x 10-27 kg.
Find the radius of the proton's path. You may need to know that the mass of a proton is 1.67 x 10-27 kg.
Now an alpha particle (made up from 2 protons and 2 neutrons) at the same speed travels through the mass spectrometer, and follows a curved path through the region of uniform magnetic field.
By what factor is the radius of the alpha particle different from that of the proton?
By what factor is the radius of the alpha particle different from that of the proton?
UpwardsTo the left
Downwards Out of the page Into the page
To the right The mass spectrometer has a velocity selector followed by a region of uniform magnetic field. In this example the magnetic field is shown pointing into the screen, and has magnitude 2.0 x 10-4 Tesla. Positively charged ions enter the velocity selector as shown, and can pass through the velocity selector without being deflected so long as an appropriate electric field is present. A single proton, with charge +q = +1.6 x 10-19 C with speed 5 x 106 m/s passes un-deflected through the velocity detector. As shown in the figure, the distance between the plates of the velocity selector is 3.0 cm When the proton passes into the region of only uniform magnetic field it will follow a curved path. Now an alpha particle (made up from 2 protons and 2 neutrons) at the same speed travels through the mass spectrometer, and follows a curved path through the region of uniform magnetic field.
Explanation / Answer
A) downward
B) q*E = q*v*B
===> E = v*B = 5*10^6*2*10^-4 = 100 V/m
c)V = E*d = 100*0.03 = 3 volts
D) r = m*v/B*q = 1.67*10^-27*5*10^6/(2*10^-4*1.6*10^-19) = 260 m
E) r = 4*m*v/B*2*q = 2*m*v/B*q, so radius becomes two times
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.