JEE Advanced · 2006 · 09 Apr 2006 · Units & Measurement

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). …

In a new system of units, the units of mass, length, time and current are 5 kg, 5 m, 5 s and 5 A, respectively. If ${\mu }_0$ and ${ϵ}_0$ are the permeability and permittivity of free space, respectively, then in this new system of units, the magnitude of one SI unit of …

Figure 1 shows the configuration of main scale and Vernier scale before measurement. Fig. 2 shows the configuration corresponding to the measurement of diameter $D$ of a tube. The measured value of $D$ is:

Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and $6.0\mu \mathrm{m}$, respectively. Which of the following option(s) give(s) the volume of the strip in ${\mathrm{cm}}^3$ with correct significant figures:

A single slit diffraction experiment is performed to determine the slit width using the equation, $\frac{bd}{D}=m\lambda$, where $b$ is the slit width, $D$ the shortest distance between the slit and the screen, $d$ the distance between the $m^{\text{th }}$ diffractio …

A temperature difference can generate e.m.f. in some materials. Let $S$ be the e.m.f. produced per unit temperature difference between the ends of a wire, $\sigma$ the electrical conductivity and $\kappa$ the thermal conductivity of the material of the wire. Taking …