Aproton starting from rest travels through a potential of 1.0 kv and then moves into a uniform 0.040-t magnetic field directed perpendicular to the path of the proton. what is the radius of the proton’s resulting orbit?

0.114m

Explanation:

From the general expression for the radius of the proton's resulting orbit, we have

where q is is the charge of the proton

m is the mass of the proton  

B is the magnetic field  

and v i the speed.

to determine the speed, we use the expression

Kinetic Energy=

where V  is the voltage value i.e 1.0kv

and v is the speed

Hence, from simple rearrangement we have the speed v to be

if we substitute value, we have

carrying out careful arithmetic we arrive at

.

using the value for the speed in the expression for the radius of the orbit as stated earlier, we have

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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