GATE IN 2022 Question Paper (06-Feb-2022) (Shift 2)

A Zener diode is used as a 4 V voltage regulator in the circuit shown. Given that the diode requires a minimum current of 4 mA for voltage regulation, the maximum current (in milliamperes) permitted to flow through the load R${}_L$ is ________ (round off to one decimal place)

A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are red is ________ (round off to two decimal places)

In the bandpass filter circuit shown, R₀ = 50 Ω, L₀ = 1 mH, C₀ = 10 nF. The Q factor of the filter is ________ (round off to two decimal places)

The Newton-Raphson method is applied to determine the solution of 𝑓(𝑥) = 0 where 𝑓(𝑥) = 𝑥 − cos (𝑥). If the initial guess of the solution is x₀ = 0, the value of the next approximation x₁ is ________ (round off to two decimal places)

An OPAMP has a gain of 10⁴ , an input impedance of 10 MΩ and an output impedance of 100 Ω. The OPAMP is used in unity-gain feedback configuration in a voltage buffer circuit. The closed-loop output impedance of the OPAMP (in milliohms) in the circuit is ________ (round off to one decimal place)