GATE IN 2013 Question Paper (10-Feb-2013) (Shift 2)

In the circuit shown below the op-amps are ideal. Then Vₒᵤₜ in Volts is

The maximum value of the solution y (t) of the differential equation y (t) + ÿ (t) = 0 with initial conditions ẏ (0) = 1 and y (0) = 1, for t ≥ 0 is

The Laplace transform representation of the triangular pulse shown below is

In the circuit shown below, if the source voltage V${}_S$ = 100∠53.13° V then the Thevenin’s equivalent voltage in Volts as seen by the load resistance R${}_L$ is

A signal Vᵢ (t) =10 +10sin100πt +10sin 4000πt + 10sin100000πt is supplied to a filter circuit (shown below) made up of ideal op-amps. The least attenuated frequency component in the output will be