JEE Main · 2023 · 15 Apr 2023 · Shift 1 · Units & Measurement

If ε, E and t represent the free space permittivity, electric field and time respectively, then the unit of $\frac{\epsilon E}{t}$ will be :

Keeping the significant figures in view, the sum of the physical quantities $52.01\mathrm{m},153.2\mathrm{m}$ and 0.123 m is :

A spherical body of radius $r$ and density $\sigma$ falls freely through a viscous liquid having density $\rho$ and viscosity $\eta$ and attains a terminal velocity ${\mathrm{v}}_0$. Estimated maximum error in the quantity $\eta$ is : (Ignore errors associated with …

Four persons measure the length of a rod as $20.00\text{ cm}$, $19.75\text{ cm}$, $17.01\text{ cm}$ and $18.25\text{ cm}$. The relative error in the measurement of average length of the rod is:

In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are brought in contact. Using this instrument thickness of a sheet is measured. If pitch scale reading is 1 mm and the circular scale reading is 51 then the …

A ball of radius r and density $\rho$ dropped through a viscous liquid of density $\sigma$ and viscosity $\eta$ attains its terminal velocity at time t, given by $t=A{\rho }^a{r}^b{\eta }^c{\sigma }^d$, where A is a constant and a, b, c and d are integers. The value of $\frac{b+c}{a+d}$ …