PHS1002/ MCD4160 past papers

MCD4160 - PHYSICS FOR ENGINEERS
Trimester One 2023 Examination
Question Booklet (with Solutions) Final
READING TIME: 10 minutes
WRITING TIME: 2 hours

Structure of Examination

Sections Number of Number of Questions Total Possible Actual Marks
Questions to be answered Marks

A: Newtonian Mechanics 5 All 25

B: Oscillations and Waves 5 All 18

C: Quantum Physics 5 All 22

Total 65
During an examination, you must not have in your possession a book, notes, paper, calculator, pencil case, mobile
phone, electronic devices, smart watch, electronic pens or other material/item which has not been authorised for the
exam or specifically permitted as noted below. Any material on your desk, chair or person will be deemed to be in
your possession. You are reminded that possession of unauthorised materials in an examination is a discipline
offence under Monash College regulations.

AUTHORISED MATERIALS
CALCULATORS NO YES
(Scientific calculator - non-programmable
with approved STICKER only)
OPEN BOOK NO YES
SPECIFICALLY PERMITTED ITEMS NO YES

INSTRUCTIONS TO CANDIDATES
• Write your final answer in this booklet. If an answer box is provided for a question, write your final answer
in the box. Show your working in the blank space under the question.
• Include units and appropriate significant figures.
• Diagrams are advisable. Where an explanation is required, explain any new symbol not in the information
provided. Do rough/preliminary work on the left-hand page.
• Formula and useful data are provided on page 2 of this booklet.
• Write clearly. Marks cannot be given if your handwriting cannot be read.

Candidates must complete this section

STUDENT ID: _________________________ DESK NUMBER:_____________________________



THIS ENTIRE EXAMINATION PAPER MUST BE HANDED IN AT THE END OF THE EXAMINATION.
DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED TO DO SO.

, USEFUL FORMULAE AND DATA
Physical Constants
g = 9.8 ms −2 , h = 6.63 × 10−34 Js , R = 1.097 × 107 m−1 , c = 3.0 × 108 ms −1
me = 9.11 × 10−31 kg , mp = 1.67 × 10−27 kg , Charge of the electron e = −1.6 × 10−19 C
G = 6.67 × 10−11 Nm2 kg −2 , Speed of sound in air v = 340.0 ms−1 𝑀𝑀𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸ℎ = 5.98 × 1024 𝑘𝑘𝑘𝑘
𝑅𝑅𝐸𝐸𝐸𝐸𝐸𝐸𝐸𝐸ℎ = 6.38 × 106 𝑚𝑚
Newtonian Mechanics

I = � Fdt , τ�⃗ = r⃗ × �F⃗ , τ = Iα v = rω, a = rα , �L⃗ = r⃗ × �p⃗ , L = Iω ,

1 2 1 1 W Mm
Icylinder = Idisk = Mr , Irod (CM) = ML2 , K rot = Iω2 P = , T 2 ∝ r 3 , F=G
2 12 2 t r2
Oscillations and Waves
K
x = A cos(ωt + ∅0 ) , v = −Aω sin(ωt + ∅0 ) , a = −Aω2 cos(ωt + ∅0 ) , ω = � ,
m

−bt −t
E = K + U = ½ kA2 , x = A exp � � cos(ωd t) , ω = 2πf, xmax (t) = A exp � �
2m τ

2π
Travelling waves : y = A cos[kx ± ωt + φ] , Standing waves : y = [2A sin kx] cos ωt , k =
λ

ω T E 1
v= , v = fλ, v=� =� , Pmean = μ v ω2 A2 , d sin θ = mλ m = 0,1,2, ..
k μ ρ 2

λL mLλ 1 mLλ
Δy = , ym = , 2nt = �m + � λ , a sin θ = mλ m = 0,1,2, …, ym =
d d 2 a
v ± v0 I
f ' =f � �, B = 10 log � � dB, where Iref = 10−12 W m−2 , n1 sin θ1 = n2 sin θ2
v∓ vs Iref
1 1 1 q
= + , M = −� �
f p q p
Quantum Physics
13.6 2
Energy levels in a hydrogen-like atom: E = − Z eV (n = 1,2,3, … )
n2
1 1 1 hc K max
= 𝑅𝑅𝐻𝐻 � 2 − 2 � , E = hf = , Vstop = , K max = hf − W,
λ nf 𝑛𝑛𝑖𝑖 λ e
1240
Ephoton = eV
λ(nm)
h h
1 eV = 1.6 × 10−19 J, λ = , ∆K = Q∆V, me ≪ mp , ∆x ∆p ≥ ,
p 4π
h2
En = n2 � � (n = 1,2,3, … ), Energy levels for an infinite 1-dimensional square well.
8mL2




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