a) What is the sign of the charge of the particle shown? b) What can you say abo

Question

a) What is the sign of the charge of the particle shown?
b) What can you say about the particles that make it through the plates undeflected (i.e., go in a straight line)? Does the sign of the charge of the particles play a role in whether or not the particles make it through?

c) What determines where the particle lands on the screen (i.e., what radius r does the particle make)?

Exercise 2: The Mass Spectrometer The figure below shows the path of a charged particle (charge 9, mass m) as it passes through two regions of space containing a uniform magnetic field out of the page of magnitude B. In the first region, the particle passes through a charged capacitor with a uniform E field (directed upwards). For each question, be sure to justify your answer! charged particles : B = +B2 E= +EY

Explanation / Answer

a) charge must be (-ve) charged, to undergo defection towards the positively charged bottom plate

b)If the particles are not undergoing any deflection while passing through plates, they must be neutral. Yes, the charge does play a role.

c)centripetal force on charged particle = force due to the magnetic field

mv^2/r = q ( v xB)

mv/r = qB

r = mv/ qB

d)you can find the velocity at which it exits the electric field using the following relation

F = qE= ma

a(acceleration) = qE/ m ...this acceleration can be used to calculate the vertical velocity of the particle at the exit of plates

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