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September 15, 2025, 03:48:12 am

Author Topic: *SUGGESTED* SOLUTIONS  (Read 22917 times)

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jyce

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*SUGGESTED* SOLUTIONS
« on: November 11, 2015, 09:15:13 pm »
Hi guys,

I'm doing the paper for my students, so I'm going to update this post as I go through it. So far I've finished the motion section, so you'll find the answers for this section below.

Please note I'm watching TV and eating at the same time and I'm human, so there could most definitely be mistakes. In fact, considering the size of this exam, I'd be surprised if I didn't make mistakes. If you think there's a mistake, just tell me and I'll fix it. I haven't showed working for the calculation questions, but if you'd like working for a particular question just ask.

Motion

1a. 5 m s-1

1b.
Ek initial = 128 J
Ek final = 108 J
Therefore, the collision is inelastic

1c. 40 N s to the left

2a. 2 m s-2

2b. 8 N

3a. The arrow should be from the car to the centre of the circle; it should be labelled 'FR'

3b. 38 N

4a.
- Ftrack on car or Fnormal perpendicular to the track and outwards
- FEarth on car or Fweight of car directly down the page
- FR represented by a horizontal line to the left of the page

4b. 16.7o

5a. 20 m

5b. 24.82 m (the answer is not 25 m)

6a. 16 J

6b. 16 J (I disagree that signs would be needed in 6a and 6b, especially since 6b did not ask for a change in energy)

6c. 2 m s-1

6d. C
I'm not sure how they want you to explain this. I just wrote: 'The velocity is increasing from 0 to 0.4 m and decreasing from 0.4 to 0.8 m'

7a. 3.69 x 104 s

7b. 1.09 x 108 m

7c. Although the astronaut has a mass and is within a gravitational field and therefore has a weight, there is no normal reaction on the astronaut (i.e. they are in free fall). Since the astronaut's sensation of weight is determined by the normal reaction and there is no normal, they would feel weightless.

Electronics and photonics

8a. You should have one resistor in series, and then two in parallel with one another

8b. The voltage drop across R1 = 6 V, and the voltage drop across both R2 and R3 = 3 V

9a. LED; the LED emits light with an intensity that replicates the amplitude variation of the current through it

9b. Photodiode; it causes the amplitude of the current through it to replicate the changes in light intensity from the LED

10a. 15 kilo-ohms

10b. 75 kilo-ohms

11a. 50

11b. Firstly, negative values in the output signal correspond to positive values in the input signal because the amplifier is an inverting one. Secondly, the peaks of the output signal are flattened at +/-8 V because the input signal goes beyond +/-160 mV and the amplifier cannot give the maximum gain beyond this input range.

11c.
- Firstly, the sloped region of the characteristic should have a negative gradient
- The sloped region should end at -160 mV/+8 V and at +160 mV/-8 V
- Your x-axis should be in mV and your y-axis in V

Electric power

12a. 3.2 x 10-3 N upwards

12b. B

12c. 0.256 mV

12d. The student should replace the split-ring commutator with slip rings. Unlike a split-ring commutator, slip rings maintain fixed connections between the coil and the external circuit and therefore do not reverse the direction of the induced current.

13a.
- Between P and Q the flux should be zero
- Between Q and R the flux should:
     - increase at a steady rate
     - then remain constant
- Between R and T the flux should:
     - decrease back to zero steadily over the same rate at which it initially increased
     - then remain at zero

13b.
- Between P and Q the emf should be zero
- Between Q and R the emf should:
     - instantly rise/drop to a constant value for the same amount of time the flux was increasing
     - then drop back to zero when the flux remains constant
- Between R and T the emf should:
     - instantly drop/rise to a constant value for the same amount of time the flux is decreasing
     - then should go back to and remain at zero

13c. As the loop enters the field, there is an increase in flux through the loop into the page (when viewed from Figure 14b). Lenz's law states that the induced field will oppose this change in flux, meaning the induced field will be out of the page. With the induced field in this direction, the induced current must flow through the ammeter from X to Y.

14a. 25 Hz

14b. 9.55 x 103 V

15.
- There should be one horizontal line through the solenoid with an arrow pointing to the right
- Four lines should loop around the solenoid with arrows pointing to the left
- None of the lines should be touching

16a. 2 A

16b. 10 V

16c. 16 W

16d. 0.2 A

16e. 0.16 W

16f. This model represents how electricity is transmitted from power stations to houses. Since the power demands would be constant and since P = VI, increasing the transmission voltage would reduce the transmission current. Reducing the transmission current reduces power losses, since Ploss = I2R. Specifically in terms of Alan and Becky's model, increasing the transmission voltage by a factor of 10 reduces the transmission current by a factor of 10, which reduces the power losses by a factor of 100.

Light and matter

17a. When the slide is put in place, this point will be a bright band. This is because, at this point, the light from each slit travels the same distance (i.e. the path difference is zero) and therefore constructively interferes at this point.

17b. C

18a. 5 x 1014 Hz (seriously VCAA?)

18b. h = 4 x 10-15 eV (I imagine some variation would be allowed here)

18c. Your graph should be straight over the top of the dotted graph

18d. Your graph should:
- intercept the x-axis at 7.5 x 1014 Hz
- have the same gradient as the dotted line

19a.
En = 2 = 91.91 eV
En = 3 = 108.88 eV

19b. You should have drawn a line downwards from the n = 3 line to the n = 2 line

20a. The photoelectric effect supports light behaving as particles. This effect shows that the energy of light is dependent on frequency and independent of intensity. The particle model correctly predicts these two outcomes while the wave model does not.

20b. When accelerated through an atomic lattice, electrons produce a diffraction pattern. This indicates that electrons must have a wavelength, which is a wave property.

*Keep in mind questions 20a and 20b were only worth 2 marks each*

21a. Electrons have a wavelength. They can only orbit atoms such that their wavelength is a whole number multiple of the orbit's circumference, because otherwise a standing wave will not occur. As electrons can have only particular wavelengths to orbit atoms, they can also have only particular energies.

21b. You should draw two diagrams: one where an electron is orbiting such that its wavelength fits in a whole number of times without overlap, and one where an electron is orbiting such that its wavelength does not fit in a whole number of times with overlap. I imagine you would be expected to annotate each diagram, indicating how the former is a stable, standing wave pattern while the latter will result in destructive interference.

*In regards to question 21, I'm really not sure how the marks will be allocated*

22. 7.29 x 107 m s-1

Detailed study: Sound
1. B  2. C  3. B  4. B  5. A  6. C  7. B  8. D  9. D  10. B  11. D (B?)

Materials - courtesy of ashmitch!
1. A  2. A  3. C  4. B  5. B  6. D  7. B  8. C  9. D  10. C  11. D


HOPE THIS HAS BEEN HELPFUL  :) :) :)

And thank you everyone for your input!

EDIT: Note that some changes have be made this morning, specifically to questions 16f and 20b.
I would appreciate some more advice on questions 10 and 11 of sound. There's been very mixed responses to question 10, but for question 11 it seems the answer is D.



 
« Last Edit: December 07, 2015, 08:12:46 pm by jyce »

Davos

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Re: *SUGGESTED* SOLUTIONS
« Reply #1 on: November 11, 2015, 09:21:06 pm »
Shouldn't Q4b) be 16.7*

jyce

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Re: *SUGGESTED* SOLUTIONS
« Reply #2 on: November 11, 2015, 09:33:09 pm »
Shouldn't Q4b) be 16.7*

Yes. I just re-did the question and I had entered the equation into my calculator incorrectly the first time.
Fixed.
« Last Edit: November 12, 2015, 12:47:46 am by jyce »

dankfrank420

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Re: *SUGGESTED* SOLUTIONS
« Reply #3 on: November 11, 2015, 09:49:36 pm »
For 7b I just did it again and got 1.1 * 10^8?

And for 5b I just got 25m flat?

Other than that all good I think - I put photodiode for the transducer question, mainly because it has a faster response time.
« Last Edit: November 11, 2015, 09:52:25 pm by dankfrank420 »

boingo

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Re: *SUGGESTED* SOLUTIONS
« Reply #4 on: November 11, 2015, 09:56:32 pm »
For 7b I just did it again and got 1.1 * 10^8?

And for 5b I just got 25m flat?

Other than that all good I think - I put photodiode for the transducer question, mainly because it has a faster response time.

Same for 7b. I got d equals 25, not sure what you mean by flat though.

EDIT: nvm get what you mean by flat.

schooliskool

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Re: *SUGGESTED* SOLUTIONS
« Reply #5 on: November 11, 2015, 09:57:15 pm »
For 7b I just did it again and got 1.1 * 10^8?

And for 5b I just got 25m flat?

Other than that all good I think - I put photodiode for the transducer question, mainly because it has a faster response time.
7b) it said 10 hours 15 mins so it was (60x10x60)+(15*60)
5b) I remember it was 24.XX

@jyce, cheers for the answers. For 7c, I thought weightlessness only occurs if there is no gravitational force on the astronaut? Isn't it 'apparent weightlessness' for no normal force?

dankfrank420

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Re: *SUGGESTED* SOLUTIONS
« Reply #6 on: November 11, 2015, 09:57:45 pm »
Same for 7b. I got d equals 25, not sure what you mean by flat though.

Ahaha just a turn of phrase.

I mean as in 25 exactly, no decimal places.

dankfrank420

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Re: *SUGGESTED* SOLUTIONS
« Reply #7 on: November 11, 2015, 09:59:49 pm »
7b) it said 10 hours 15 mins so it was (60x10x60)+(15*60)

That's 7a you're talking about.

jyce

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Re: *SUGGESTED* SOLUTIONS
« Reply #8 on: November 11, 2015, 10:00:39 pm »
Hi guys,

I'll have a look at the mistakes you're indicating in 10 minutes or so once I've finished electric power.

@schooliskool, question 7c asked if the astronaut would feel weightless, not if he was actually weightless.

jyce

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Re: *SUGGESTED* SOLUTIONS
« Reply #9 on: November 11, 2015, 10:03:43 pm »
I've fixed 7b.
« Last Edit: November 11, 2015, 10:07:05 pm by jyce »

schooliskool

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Re: *SUGGESTED* SOLUTIONS
« Reply #10 on: November 11, 2015, 10:04:59 pm »
Hi guys,

I'll have a look at the mistakes you're indicating in 10 minutes or so once I've finished electric power.

@schooliskool, question 7c asked if the astronaut would feel weightless, not if he was actually weightless.
Ah rip. Cheers
For 10b, maybe I got it wrong, the question what value of R should be used for a 10V drop at the thermistor (or w/e it was), and it was 60V so I had R=50k so 50v would be there and 10v at the thermistor, did I miss something? ;d

That's 7a you're talking about.
Oh my bad man, I actually got 1.08 x 10^8 for 7b lol

jyce

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Re: *SUGGESTED* SOLUTIONS
« Reply #11 on: November 11, 2015, 10:08:11 pm »
Ah rip. Cheers
For 10b, maybe I got it wrong, the question what value of R should be used for a 10V drop at the thermistor (or w/e it was), and it was 60V so I had R=50k so 50v would be there and 10v at the thermistor, did I miss something? ;d

Resistor R had a voltage drop x5 greater than the LDR and therefore had a resistance x5 greater. 15 x 5 = 75 kilo-ohms.

schooliskool

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Re: *SUGGESTED* SOLUTIONS
« Reply #12 on: November 11, 2015, 10:10:31 pm »
Resistor R had a voltage drop x5 greater than the LDR and therefore had a resistance x5 greater. 15 x 5 = 75 kilo-ohms.
Oh ok, I don't think I even read the question haha. Cheers for posting the answers btw.

sprout

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Re: *SUGGESTED* SOLUTIONS
« Reply #13 on: November 11, 2015, 10:31:13 pm »
For 13a of electric power, I had the flux decreasing after R bc before then the coil is completely inside the magnetic field still. idk hahaha
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boingo

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Re: *SUGGESTED* SOLUTIONS
« Reply #14 on: November 11, 2015, 10:32:38 pm »
For 13a of electric power, I had the flux decreasing after R bc before then the coil is completely inside the magnetic field still. idk hahaha

Yes same! Lol was too scared to say because I was pretty sure it was wrong. Maybe not :)