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STUDYNEST · CLASS 11 PHYSICS

QUESTION PAPER 1

Chapter 1: Units and Measurements

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. How many SI base quantities?[1]
  2. SI unit of temperature?[1]
  3. Significant figures in 0.00450?[1]
  4. Dimensions of speed?[1]
  5. Dimensions of force?[1]
  6. Is length/length dimensionless?[1]
  7. Can dimensional analysis determine π?[1]
  8. SI unit of pressure?[1]

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

  1. Round 12.486 to 3 significant figures.[2]
  2. Dimensions of momentum mv?[2]
  3. Check s=ut+½at² dimensionally.[2]
  4. Convert 72 km/h to m/s.[2]
  5. Significant figures in 5.070×10³?[2]
  6. Why can't dimensions distinguish work and torque?[2]

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

  1. Derive pendulum period dependence T∝lᵃgᵇ.[3]
  2. Sphere radius 2.00 cm: volume to 3 s.f.?[3]
  3. Dimensions of G from F=Gm₁m₂/r²?[3]
  4. 15.2 cm × 3.4 cm: area with correct precision?[3]

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

  1. Spring-mass period T∝mᵃkᵇ, [k]=MT⁻². Find exponents.[4]
  2. Calculated volume is 18.237 cm³, least precise input 3 s.f. What is reported?[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
Seven.
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
kelvin (K).
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q3 · 1 mark
Three.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q4 · 1 mark
[LT⁻¹].
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q5 · 1 mark
[MLT⁻²].
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q6 · 1 mark
Yes.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q7 · 1 mark
No.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q8 · 1 mark
pascal (Pa).
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q9 · 2 marks
12.5.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q10 · 2 marks
[MLT⁻¹].
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q11 · 2 marks
ut and at² both have dimension L; homogeneous.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q12 · 2 marks
20 m s⁻¹.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q13 · 2 marks
Four.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q14 · 2 marks
Both are [ML²T⁻²].
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q15 · 3 marks
Equating dimensions gives a=½, b=−½, so T∝√(l/g).
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q16 · 3 marks
4πr³/3=33.5 cm³.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q17 · 3 marks
[M⁻¹L³T⁻²].
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q18 · 3 marks
51.68 cm² rounds to 52 cm².
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q19 · 4 marks
a=½, b=−½; T∝√(m/k).
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.
Q20 · 4 marks
18.2 cm³; extra digits are unsupported.
Suggested credit: award marks for the correct principle, working and result as applicable; accept equivalent correct methods.