GATE IN 2012 Question Paper (12-Feb-2012) (Shift-2)

A capacitive motion transducer circuit is shown. The gap $d$ between the parallel plates of the capacitor is varied as $d(t)=10^{-3}[1+0.1\sin (1000\pi t)]$ m. If the value of the capacitance is 2pF at $t=0$ ms, the output voltage $V_o$ at $t=2$ ms is

A psychrometric chart is used to determine

A strain gauge is attached on a cantilever beam as shown. If the base of the cantilever vibrates according to the equation
$$x(t)=\sin {\omega }_{1}t+\sin {\omega }_{2}t,$$
where $2\text{rad/s}<{\omega }_1,{\omega }_2<3\text{rad/s}$, then the output of the strain gauge is proportional to

The transfer function of a Zero-Order-Hold system with sampling interval $T$ is

An LED emitting at 1 $\mu$ m with a spectral width of 50 nm is used in a Michelson interferometer. To obtain a sustained interference, the maximum optical path difference between the two arms of the interferometer is