Maximum Marks: 40Suggested time: 60 minutes
Instructions: Answer all 20 questions. Marks are shown in brackets. Show calculation steps and units. These are original practice questions, not an official examination paper.
Section A · 1-mark questions — 8 × 1 = 8 marks
- Transverse oscillation relative to wave travel?[1]
- Sound in air type?[1]
- Wave speed relation?[1]
- Wave number k?[1]
- Superposition principle?[1]
- Reflection at fixed end?[1]
- Beat frequency?[1]
- What is amplitude?[1]
Section B · 2-mark questions — 6 × 2 = 12 marks
- f=50Hz, λ=2m: speed?[2]
- v=340m/s, f=170Hz: wavelength?[2]
- 256Hz and 260Hz beats?[2]
- Wavelength halves at fixed speed: frequency?[2]
- Reflection at free end: inversion?[2]
- Wave y=A sin(kx−ωt) travels which way?[2]
Section C · 3-mark questions — 4 × 3 = 12 marks
- v=24m/s, λ=.8m: f and period?[3]
- Displacements +3 cm and −1 cm overlap: resultant?[3]
- 300Hz and 304Hz: beat frequency and period?[3]
- How do waves transfer energy without permanent medium transport?[3]
Section D · 4-mark questions — 2 × 4 = 8 marks
- Wave travels 12m in .4s with f=5Hz: speed/wavelength?[4]
- Explain beats for 440Hz and 442Hz.[4]
End of paper — review signs, units and working.
Open marking scheme and model answers
Attempt the paper before opening the key. Model answers show the expected facts and results; mark allocation is a suggested guide and equivalent correct methods should receive credit.
Q1 · 1 mark
Perpendicular.
1 mark for the correct fact, unit or formula. Accept an equivalent correct method.
Q2 · 1 mark
Longitudinal.
1 mark for the correct fact, unit or formula. Accept an equivalent correct method.
Q3 · 1 mark
v=fλ.
1 mark for the correct fact, unit or formula. Accept an equivalent correct method.
Q4 · 1 mark
2π/λ.
1 mark for the correct fact, unit or formula. Accept an equivalent correct method.
Q5 · 1 mark
Resultant displacement is the algebraic sum.
1 mark for the correct fact, unit or formula. Accept an equivalent correct method.
Q6 · 1 mark
Pulse is inverted.
1 mark for the correct fact, unit or formula. Accept an equivalent correct method.
Q7 · 1 mark
|f₁−f₂|.
1 mark for the correct fact, unit or formula. Accept an equivalent correct method.
Q8 · 1 mark
Maximum displacement from equilibrium.
1 mark for the correct fact, unit or formula. Accept an equivalent correct method.
Q9 · 2 marks
100 m/s.
Suggested split: 1 mark for the principle/formula and 1 for the answer or explanation. Accept an equivalent correct method.
Q10 · 2 marks
2 m.
Suggested split: 1 mark for the principle/formula and 1 for the answer or explanation. Accept an equivalent correct method.
Q11 · 2 marks
4 Hz.
Suggested split: 1 mark for the principle/formula and 1 for the answer or explanation. Accept an equivalent correct method.
Q12 · 2 marks
Doubles.
Suggested split: 1 mark for the principle/formula and 1 for the answer or explanation. Accept an equivalent correct method.
Q13 · 2 marks
No.
Suggested split: 1 mark for the principle/formula and 1 for the answer or explanation. Accept an equivalent correct method.
Q14 · 2 marks
+x direction.
Suggested split: 1 mark for the principle/formula and 1 for the answer or explanation. Accept an equivalent correct method.
Q15 · 3 marks
30Hz; 1/30s.
Suggested split: 1 for the relation, 1 for working/reasoning and 1 for result with unit. Accept an equivalent correct method.
Q16 · 3 marks
+2 cm.
Suggested split: 1 for the relation, 1 for working/reasoning and 1 for result with unit. Accept an equivalent correct method.
Q17 · 3 marks
4 Hz; .25 s.
Suggested split: 1 for the relation, 1 for working/reasoning and 1 for result with unit. Accept an equivalent correct method.
Q18 · 3 marks
Particles oscillate locally while the disturbance propagates.
Suggested split: 1 for the relation, 1 for working/reasoning and 1 for result with unit. Accept an equivalent correct method.
Q19 · 4 marks
30m/s; λ=6m.
Suggested split: 1 for principle, 1 for equation, 1 for working and 1 for result/explanation. Accept an equivalent correct method.
Q20 · 4 marks
Alternating loudness occurs at 2 beats per second.
Suggested split: 1 for principle, 1 for equation, 1 for working and 1 for result/explanation. Accept an equivalent correct method.