GATE IN 2023 Question Paper (11-Feb-2023) (Shift-1)

Choose solution set S corresponding to the systems of two equations
$x-2y+z=0$
$x-z=0$
Note: $\Re$ denotes the set of real numbers

Inductance of a coil is measured as 10 mH, using an LCR meter, when no other objects are present near the coil. The LCR meter uses a sinusoidal excitation at 10 kHz. If a pure copper sheet is brought near the coil, the same LCR meter will read ____________.

Which of the following flow meters offers the lowest resistance to the flow?

Pair the quantities (p) to (s) with the measuring devices (i) to (iv).

Capacitance 'C' of a parallel plate structure is calculated as 20 pF using $C=\frac{{\epsilon }_0{\epsilon }_{r}A}{d}$ where ${\epsilon }_0$ is the permittivity of free space, ${\epsilon }_r$ is the relative permittivity of the dielectric, A is the overlapping area of the electrodes and d is the distance between them. The value of C is then measured using an LCR meter. If the meter is assumed to be ideal and it introduces no error due to cable capacitance, which one of the following readings is likely to be correct?