Units, dimensions, errors and measurement.
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Q1 · Physical World and Measurement · EASY
The dimensional formula of force is [MLT⁻²]. Which of the following physical quantities has the same dimensional formula?
Q2 · Physical World and Measurement · MEDIUM
A physical quantity P is given by P = A²B³/C. If the percentage errors in measuring A, B, and C are 2%, 3%, and 4% respectively, what is the percentage error in P?
Q3 · Physical World and Measurement · MEDIUM
The length of a cylinder is measured as 5.0 cm using a vernier caliper with least count 0.01 cm, and its diameter is measured as 2.0 cm using the same instrument. What is the percentage error in the calculated volume of the cylinder?
Q4 · Physical World and Measurement · EASY
The SI unit of a physical quantity X is kg m² s⁻³. Which of the following could be the quantity X?
Q5 · Physical World and Measurement · HARD
The period T of oscillation of a simple pendulum is measured 100 times and the results showed a mean value of 2.00 s with a standard deviation of 0.04 s. The percentage error in the measurement of acceleration due to gravity g (using T = 2π√(L/g) where L is constant) is approximately: