List of top Physics Questions on Units, Dimensions and Measurements asked in JEE Advanced

Two thin wires, Wire-1 of diameter 0.650 mm and Wire-2 of unknown diameter $d$ are given. To obtain the value of $d$, the diameters of the two wires are measured with a screw gauge. The screw gauge has a pitch of 0.5 mm and there are 100 divisions on the circular scale (CS). The smallest division on the linear scale (LS) is 0.5 mm. The table shows the readings of LS and CS for the measurements. The value of $d$ (in µm) is:

In a new system of units, the units of mass, length, time and current are \(5\,\text{kg}\), \(5\,\text{m}\), \(5\,\text{s}\) and \(5\,\text{A}\), respectively. If \(\mu_0\) and \(\epsilon_0\) are the permeability and permittivity of free space, respectively, then in this new system of units, the magnitude of one SI unit of \(\sqrt{\mu_0/\epsilon_0}\) is: