• Amal Augustine
• November 24, 2025

Mastering Units and Measurements for CUET Physics: Complete Notes, Keywords, and MCQs with Answers

The CUET Physics syllabus places strong emphasis on foundational topics, and Units and Measurements from Class 11 is one of the most important chapters. CUET aspirants frequently search for CUET Physics Units and Measurements important concepts explained, CUET Units and Measurements MCQs with solutions PDF, Units and Measurements assertion reason CUET, CUET physics chapter 1 measurement errors simplified, and dimensional analysis tricky questions for CUET physics. This blog post provides crystal-clear explanations, detailed examples, and carefully selected MCQs so you can master the chapter for CUET, JEE, and NEET all at once.

Students also commonly look for Units and Dimensions CUET theory summary, how to calculate percentage error CUET physics, and Vernier calipers CUET physics numerical questions. To support that, we’ve included conceptual notes and step-by-step reasoning embedded inside the chapter.

Understanding Units, Errors, Measurements & Dimensional Analysis

Measurement is the foundation of physics, and the CUET exam often includes case-based and assertion-reason questions from this chapter. Concepts like random error, systematic error, least count, accuracy, precision, and percentage error form the backbone of CUET’s physics reasoning section. CUET aspirants also search for CUET physics reasoning questions based on measurement errors, CUET previous year questions on Units and Dimensions, and dimensional analysis shortcut tricks for JEE aspirants—all of which are directly linked to this chapter.

Dimensional analysis helps students check the correctness of a physical relation by comparing dimensions on both sides of an equation. Topics like impedance, electric potential, resistance, permeability, stress, viscosity, and energy-related dimensions regularly appear in CUET sample papers. Concepts of relative error, maximum permissible error, and error propagation are crucial for practical physics.

Below are curated MCQs from these core topics, carefully integrated for CUET practice.

MCQs on Errors, Percentage Error & Practical Measurements

1. When voltage and current are measured as (100 ± 4)V and (5 ± 0.2)A, the percentage error in resistance is:
a) 8% b) 4% c) 20% d) 10%
Answer: a

2. If the error in measuring the radius of a sphere is 1%, the error in volume is:
a) 1.1% b) 3% c) 5% d) 8%
Answer: b (since V ∝ r³ → 3 × 1% = 3%)

3. A public park in square form has area (100 ± 0.2) m². The side is:
a) (10 ± 0.01)m b) (10 ± 0.1)m c) (10.0 ± 0.1)m d) (10.0 ± 0.2)m
Answer: a

4. Random error in measurement:
a) Can be decreased by taking more readings and averaging
b) By changing observer
c) By new instrument
d) By new method
Answer: a

5. Length = 3.51 m, accuracy = 0.01 m → % error =
a) 351% b) 1% c) 0.28% d) 0.03%
Answer: c

6. Power is measured at 10% error for I = 5 ± 0.4A and V = 10 ± 0.2V. To measure at 5% error, current error must be:
a) 5% b) 2% c) 10% d) 3%
Answer: d

7. Two resistors R₁ = (200 ± 2)Ω and R₂ = (400 ± 4)Ω in series:
a) (800 ± 7)Ω b) (600 ± 2)Ω c) (600 ± 6)Ω d) (200 ± 2)Ω
Answer: c (errors add: ±(2+4)=±6)

8. Zero error belongs to:
a) Constant error b) Instrumental error c) Personal error d) Random error
Answer: b

9. Error in m, L, t = 1%, 2%, 3%. Error in acceleration =
a) 8% b) 9% c) 6% d) 10%
Answer: a

10. For Z = A²B³/C⁴, relative error =
a) ΔA/A + ΔB/B + ΔC/C
b) 2ΔA/A + 3ΔB/B – 4ΔC/C
c) 2ΔA/A + 3ΔB/B + 4ΔC/C
d) ΔA/A + ΔB/B – ΔC/C
Answer: c

11. Silver wire: m = (0.6 ± 0.006)g, r = (0.5 ± 0.005)cm, L = (4 ± 0.04)cm. Max % error in density:
a) 4% b) 3% c) 6% d) 7%
Answer: a

12. Radius error = 2%. Error in volume =
a) 4% b) 6% c) 8% d) 2%
Answer: b (3 × 2% = 6%)

MCQs on Dimensional Analysis (Advanced CUET Focus)

CUET students often search for Units and Dimensions formula list, how to check dimensional consistency CUET physics, and dimensional analysis tricky questions for CUET physics. These questions target those skills precisely.

13. Energy / (Mass × Length) has dimension of:
a) Force b) Power c) Pressure d) Acceleration
Answer: d

14. Order of increasing length dimension (Permittivity, Resistance, Permeability, Stress):
a) A-B-C-D b) D-C-B-A c) A-D-C-B d) C-B-D-A
Answer: c

15. Dimensions of h/e are same as:
a) Magnetic pole strength b) Magnetic moment c) Magnetic field d) Magnetic flux
Answer: d

16. Dimension of impedance:
a) [ML²T⁻³A⁻²] b) [M⁻¹L⁻²T³A²] c) [ML³T⁻³A⁻²] d) [M⁻¹L⁻³T³A²]
Answer: a

17. Match the following:
(a) Electrical resistance →
(b) Electrical potential →
(c) Specific resistance →
(d) Specific conductance →
Correct pairing:
a) a-q, b-r, c-p, d-s
b) a-q, b-r, c-p, d-s
c) a-p, b-q, c-s, d-r
d) a-p, b-r, c-q, d-s

Answer: b

18. Dimension independent of mass & length:
a) Energy b) Thrust c) Momentum d) Angular velocity
Answer: d

19. μ₀ε₀ carries unit of s²m⁻²:
a) √(μ₀ε₀) b) 1/√(μ₀ε₀) c) μ₀ε₀ d) 1/(μ₀ε₀)
Answer: c

20. [ML²T⁻²] represents:
a) Moment of force b) Force c) Acceleration d) Momentum
Answer: a

21. Flux density of mass (mass per area per time) dimension:
a) [ML⁻²T⁻¹] b) [ML²T⁻¹] c) [MLT⁻¹] d) [M⁻¹L⁻²T]
Answer: a

22. Dimensionless quantity:
a) Magnetic flux density b) Electric flux density c) Lumen flux density d) Optical density
Answer: d

23. Dimensional formula for work:
a) [MLT⁻²] b) [ML²T⁻²] c) [ML³T⁻²] d) [ML²T⁻¹]
Answer: b

24. Moment of inertia dimension:
a) [MLT⁻²] b) [ML²] c) [M/T²] d) [MLT]
Answer: b

25. Dimensionless quantity:
a) Gravitational constant b) Relative permittivity c) Relative velocity d) Planck’s constant
Answer: b

26. Pair with same dimensions:
a) Torque & Work b) Angular momentum & Work c) Energy & Young’s modulus d) Light year & time
Answer: a

27. Mechanical quantity with negative mass dimension:
a) Angular momentum b) Torque c) Thermal conductivity d) Gravitational constant
Answer: d

28. Dimensional constant among the following:
a) g b) Surface tension c) Weight of 1 kg mass d) Speed of light
Answer: d

29. Dimensional formula of electric potential:
a) M⁰L¹T⁰A¹ b) M⁰L⁻³T⁰A¹ c) M⁰L¹T¹A⁻1 d) M⁰L²T⁰A¹
Answer: a

30. If X and Y have different dimensions:
a) X + Y b) X – Y c) X/Y d) None
Answer: c

Conclusion

This comprehensive guide, enriched with high-value CUET-specific keywords like CUET Units and Measurements quick revision notes, CUET case based questions Units and Measurements, Vernier calipers CUET physics numerical questions and Units and Dimensions CUET theory summary, makes your preparation stronger and more aligned with actual exam demand. With topic-wise explanations and curated MCQs, this blog helps CUET aspirants build conceptual clarity and solve tricky physics questions with confidence.