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STUDYNEST · CLASS 11 PHYSICS

QUESTION PAPER 1

Chapter 3: Motion in a Plane

Original chapter-specific practice paper

Maximum Marks: 40Suggested time: 60 minutes
Instructions: Answer all 20 questions. Marks are shown in brackets. Show calculation steps and units. Original practice questions, not an official examination paper.

Section A · 1-mark questions — 8 × 1 = 8 marks

  1. Is displacement scalar or vector?[1]
  2. x-component at angle θ?[1]
  3. Horizontal acceleration of an ideal projectile?[1]
  4. Direction of centripetal acceleration?[1]
  5. Magnitude of perpendicular components 3 and 4?[1]
  6. Relation between v and ω?[1]
  7. Ideal maximum-range angle at equal heights?[1]
  8. Vertical velocity at projectile peak?[1]

Section B · 2-mark questions — 6 × 2 = 12 marks

  1. Resolve 10 N at 60°.[2]
  2. Displacement after a full circular lap?[2]
  3. v=12 m/s, r=6 m: a_c?[2]
  4. Horizontal launch from 20 m, g=10: flight time?[2]
  5. Perpendicular vectors 6 and 8: resultant?[2]
  6. 120 rpm in rad/s?[2]

Section C · 3-mark questions — 4 × 3 = 12 marks

  1. Projectile at 20 m/s, 30°, g=10: T,H?[3]
  2. Forces 8 N east and 6 N north: resultant?[3]
  3. Cyclist at 10 m/s, radius 25 m: a_c?[3]
  4. 25 m/s at 37°, sin=.6, cos=.8, g=10: time/range?[3]

Section D · 4-mark questions — 2 × 4 = 8 marks

  1. Projectile 20 m/s at 30°: time, height, range?[4]
  2. 5 kg at 4 m/s in radius 2 m: inward force and work?[4]

End of paper — review signs, units and working.

Open marking scheme and model answers

Attempt the paper before opening the key. Multi-mark answers show expected principles and results; award partial credit for valid intermediate steps.

Q1 · 1 mark
Vector.
Suggested allocation by section: 1-mark questions earn one mark for the correct fact, formula or unit; 2-mark questions normally award one mark for the principle/formula and one for the explanation or result; 3-mark questions award credit for the relation, working/reasoning and result with unit; 4-mark questions award credit for the principle, equation, working and final answer/interpretation. Accept equivalent correct methods.
Q2 · 1 mark
Acosθ.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q3 · 1 mark
Zero.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q4 · 1 mark
Inward.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q5 · 1 mark
5.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q6 · 1 mark
v=rω.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q7 · 1 mark
45°.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q8 · 1 mark
Zero.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q9 · 2 marks
Aₓ=5 N; Aᵧ=8.66 N.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q10 · 2 marks
Zero.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q11 · 2 marks
24 m/s².
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q12 · 2 marks
2 s.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q13 · 2 marks
10.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q14 · 2 marks
4π rad/s.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q15 · 3 marks
T=2 s; H=5 m.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q16 · 3 marks
10 N at 36.9° north of east.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q17 · 3 marks
4 m/s² inward.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q18 · 3 marks
3 s; 60 m.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q19 · 4 marks
2 s; 5 m; 34.6 m.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q20 · 4 marks
40 N inward; centripetal force does zero work.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.