I'll try my best, the other harder ones I suppose someone else needs to do them.
Q4-v=flambda. Work out f to get number of cycles
per second, then divide by 100 to get number of cycles in 10 miliseconds as milli=10^-3 so 10 milliseconds=10 X 10^-3=10^-2.
Q5iii- equate centripetal force F=mv^2/r to gravitational force F=GMm/r^2. You can cancel the ms and then you can rearrange and solve for M, the mass of Jupiter.
Q4-See this
http://www.schoolphysics.co.uk/age14-16/Mechanics/Circular%20motion/text/Circular_motion/images/5.pngQ11-
Q2-V
0=12V
1/4 energy -->1/4 charge on capacitor plates-->C=Q/V so V=Q/C, with C constant, (1/4)Q means (1/4)V=(1/4)(12)=
3V answer. I hopes I'm right here, not 100% sure though, check the answer/MS.
Q1-M's acceleration is in opposite direction to that of O when M is at top and O is at bottom and vice versa (M at bottom and O at top), so T/2. That's the only hint I can give for this q as it is to do with visualising in a way.
Q4-
Lambda/4=0.40m -->lambda=1.6m
v=flambda
=(400)(1.6)
=640ms^-1
Q9-
but that answer isn't there, so not sure
.
Q4-v=flambda
8=5lambda
Lambda=1.6km
1.6km -->2pi
2km -->2.5pi
So 0.5pi or pi/2 phase difference.
Q2-yes, I agree with you there, after being confused and then looking at what you wrote there. 5RC too short means hard to measure time due to human reaction time as stopwatch used. 5RC too long means you in experiment forever...
So
5RC=600, just choosing a sensible realistic value here, I chose 10mins=600s
R=600/[5(30 X 10^-6)]
R=4MOhms
Q8-
So l coefficient divided by M coefficient should give 2, but it makes no options right, so not sure
.
Q21-