Units and Measurements is a Class 11 Physics chapter that carries about 4.5% of the Physics questions in NEET. Practise it with 49 questions covering 2 topics, each with an explanation.
Sample questions on Units and Measurements with answers
8 questions from the practice bank, spread across the chapter's topics. The full set is in the app.
Question 1: Dimensional Analysis
The equation s = ut + ½at² is dimensionally:
- A incorrect, since ut has a different dimension from s
- B correct only if u = 0
- C correct, since every term has the dimension of length
- D incorrect, because of the factor ½
Answer: C. correct, since every term has the dimension of length
Why: [ut] = [LT⁻¹][T] = [L] and [at²] = [LT⁻²][T²] = [L].
Question 2: Significant Figures and Errors
The sum of 12.5 and 0.136, expressed with the proper number of significant figures, is:
- A 12.64
- B 13
- C 12.636
- D 12.6
Answer: D. 12.6
Why: In addition, the result keeps as many decimal places as the least precise number (one).
Question 3: Dimensional Analysis
The dimensional formula of power is:
- A [ML²T⁻²]
- B [ML²T⁻³]
- C [MLT⁻³]
- D [ML²T⁻¹]
Answer: B. [ML²T⁻³]
Why: P = work/time = [ML²T⁻²]/[T].
Question 4: Significant Figures and Errors
A zero error in an instrument is an example of a:
- A random error
- B gross error only
- C least-count error only
- D systematic error
Answer: D. systematic error
Why: It affects all the readings in the same way.
Question 5: Dimensional Analysis
Which of the following is a dimensionless quantity?
- A velocity
- B strain
- C force
- D acceleration
Answer: B. strain
Why: Strain is defined as the ratio of change in length to original length — both quantities have the same dimension, so their ratio is dimensionless.
Question 6: Significant Figures and Errors
The time of 20 oscillations of a pendulum, measured with a stopwatch of least count 0.1 s, is 40.0 s. The error in the period is:
- A 0.05 s
- B 0.005 s
- C 0.1 s
- D 0.5 s
Answer: B. 0.005 s
Why: The error in the total time is spread over 20 oscillations: 0.1/20 = 0.005 s.
Question 7: Dimensional Analysis
The quantity 1/√(μ₀ε₀) has the dimensions of:
- A time
- B charge
- C acceleration
- D velocity
Answer: D. velocity
Why: It is the speed of light in vacuum.
Question 8: Significant Figures and Errors
If the percentage errors in the measurement of mass and velocity are 2% and 3% respectively, the maximum percentage error in the kinetic energy (½mv²) is:
- A 6%
- B 5%
- C 8%
- D 12%
Answer: C. 8%
Why: Kinetic energy ∝ m v². Maximum error = 2% + 2 × 3% = 8%.