Hey guys i'm just having trouble understanding/ working out these questions and i would really appreciate if anyone could give me a hand! I know it looks like a lot, but they are all just multiple choice questions which didn't have any explanations that i could find. Cheers 
Hey!!!!! Well we are in for a looooooong ride
12) For this question we must firstly find the orbital velocity:

=





8.) This whole question is going off the formula:

For A, the velocity is 0, so the force is 0, so that's wrong.
For B, the velocity is 60, but it is travelling
Parallel to this magnetic field (ie sin0 = 0)
For C, everything works out, so the force is 40
For D, everything works out, the velocity is 50, but due to sinϑ = 45, the force is half, and thus 25
This means C will have the highest force
7) This is something that you really just need to know, In a galvanometer, this is the reason why the radial magnet is so vital, to get accurate measurements! B!
8.) Big note here, the wire is still PERPENDICULAR to the field, so sinϑ = 90.
To find the length, just use Pythagoras, and you should find length to be 0.4m



3) This was on the previous page

This is more applying your knowledge of the Motor Effect.
For this, we have to use our good ol' right hand!
We know the current is going down the page (thumb)
We know its a north pole and the magnetic field lines are going away from the magnet (fingers)
We then can see where our palm is facing, (which is into the page!) but as we move backwards our direction of magnetic field changes VERY slightly! (as we see in the diagram) It is this slight chance which causes the wire to rotate CLOCKWISE around the magnet

A
20 Bubbly_bluey Just made a very good explanation about this above! If you need more help, feel free to ask

B
19) This is MUCH easier if we rule out the incorrect ones, For A, the force of gravity is NOT negligible, as that's what keeps objects in orbit! so it is wrong. While B is true, this is not answering the question, it is just a statement.
We now have it to C or D, for C, IF the forces were to be the same, (ie F = ma) since, the question claims F is the same, while mass is different, their accelerations must be different, and well, if their accelerations are different, how on earth can they travel at the same speed? So C is incorrect, leaving only D as the answer (if you would like me to explain why i'll be happy to!)
17) again, Bubbly_bluey pretty much explained this above! (Well done btw!!) The work done (which is torque) once hitting it's fixed maximum speed will be 0, so it must decrease! D
20) We here are given wavelength, but the graph shows frequency, so we must change the wavelength to frequency.

As this is before Line Y, this means NOTHING will happen to Y, so C and D are out!
The next part is all about the properties of photons, where INTENSITY means more electrons, not more energy, so B
15) We know that from the motors, the force is ALWAYS perpendicular to the coils, so it has to be A or C, but as torque varies with the angle, we need to know where torque = 1, (cos 0) which is where the coil is "flat" meaning that moving it 30 will make cos 30 and thus it is A
14) 14) For these questions especially, I'd like to picture myself in these situations and go from there. Imagine you are driving a car, speeding it up or slowing it down will NOT make you experience a force to the left or right (there is no circular motion!), so this eliminates both B and D. Now referring back to the car analogy, when you turn the car, you'd always experience a force opposite to the way you are turning. The car is beginning its turning motion while you continue in a straight line path. This is because of Newton's first law.
So back to the question, the ball began to roll down the page, and from what was said before, it must mean the train was turning up the page, or to the RIGHT, so it is C.
WHEWWWWWWWWW That WAS a ride!!!! I hope this helps! Ask away if any of this made no sense, I'll be happy to help!!!