GATE IN 2021 Question Paper (06-Feb-2021) (Shift 1)

Let u(t) denote the unit step function. The bilateral Laplace transform of the function f(t) = e${}^t$ u(−t) is ____.

Input-output characteristic of a temperature sensor is exponential for a

The signal $sin(\sqrt{2\pi t})$ is

The step response of a circuit is seen to have an oscillatory behaviour at the output with oscillations dying down after some time. The correct inference(s) regarding the transfer function from input to output is/are

For a 4-bit Flash type Analog to Digital Convertor (ADC) with full scale input voltage range “V”, which of the following statement(s) is/are true ?