Physical World & Measurement

What is the dimensional formula of pressure?

What is the dimensional formula of power?

Convert a force of 25 N into the CGS system (dyne).

Convert 1 joule of energy into ergs (CGS system).

A car moves at 72 km/h. What is its speed in m/s?

How many significant figures are there in the measurement 0.00604 m?

How many significant figures are there in 4.330 × 10² ?

Round off 6.87 to two significant figures.

The length and breadth of a rectangle are measured as 5.7 cm and 3.4 cm. To how many significant figures should the area be reported?

A quantity is measured five times and the mean value comes out to 2.624 s. What is this mean value used for?

The voltage across a resistor is measured as (10 ± 0.2) V and the current through it as (2 ± 0.1) A. Find the percentage error in the calculated resistance R = V/I.

The radius of a sphere is measured with a 1% error. What is the percentage error in its calculated volume (V ∝ r³)?

In a vernier caliper, 10 vernier scale divisions (VSD) coincide with 9 main scale divisions (MSD), and 1 MSD = 1 mm. What is the least count of the instrument?

A vernier caliper (least count 0.01 cm) gives a main scale reading of 2.1 cm with the 6th vernier division coinciding with a main scale division. Find the measured length.

A screw gauge has a pitch of 1 mm and 100 divisions on its circular scale. What is its least count?

Using the screw gauge from the previous question, the linear scale reads 3 mm and the circular scale reading is 27. Find the measured length, assuming no zero error.

A screw gauge has a positive zero error of 0.05 mm. If the observed reading for an object is 4.50 mm, find the corrected (true) reading.

Which of the following pairs has the same dimensional formula?