Physical World and Measurement — Prelims Questions

The percentage error in the measurement of mass and speed are 2% and 3% respectively. The maximum percentage error in the kinetic energy calculated using these measurements will be:

If the unit of force is $1\,\text{kN}$, the unit of length is $1\,\text{km}$ and the unit of time is $100\,\text{s}$, what will be the unit of mass in this new system?

The least count of a screw gauge is $0.01\,\text{mm}$ and there are 50 divisions on its circular scale. The pitch of the screw gauge is:

Which of the following pairs has the same dimensions?

The density of a material in CGS system is $4\,\text{g/cm}^3$. In a system of units where unit of length is $10\,\text{cm}$ and unit of mass is $100\,\text{g}$, the value of density will be:

A student measures the diameter of a wire using a screw gauge and records the readings as $2.52\,\text{mm}$, $2.54\,\text{mm}$, $2.50\,\text{mm}$, $2.56\,\text{mm}$, and $2.53\,\text{mm}$. The mean absolute error in the measurement is: