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

For a periodic signal v(t) = 30 sin100t +10cos300t + 6 sin(500t + π/4) , the fundamental frequency in rad/s is

In the transistor circuit as shown below, the value of resistance R${}_E$ in kΩ is approximately

A source vₛ(t) = V cos100 πt has an internal impedance of 4 + j3 Ω. If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should be

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is