Assessment: Units and Measurements

Energy (the joule) is defined by work = force × distance. Which base-unit combination is correct for the joule?

Convert 0.75 m to centimetres.

A vernier caliper (least count 0.01 cm) has a main scale reading of 3.7 cm, with the 8th vernier division coinciding. Find the total reading.

A micrometer (least count 0.001 cm) has a main scale reading of 0.2 cm and a circular scale reading of 35. Find the total reading.

A capacitor is rated at 220 nanofarads (nF). Express this in microfarads (μF).

A beam balance balances against standard masses of 500 g, 100 g, 10 g, and 2 g. Find the total mass of the object.

Which fixed constant of nature is used to define the modern SI metre?

A grandfather clock needs a pendulum with a period of exactly 2.0 s. Using g = 9.8 m/s², find the required length. (Round to 2 decimal places.)

A micrometer reading is 0.462 cm, with a main scale reading of 0.4 cm and a least count of 0.001 cm. Find the circular scale reading (CSR).

A pendulum of length 0.5 m is measured to have a period of 1.42 s. Use this data to estimate g.