GATE IN 2018 Question Paper (04-Feb-2018) (Shift 2)

Assuming ideal opamp, the RMS voltage (in mV) in the output Vₒ only due to the 230 V, 50 Hz interference is (up to one decimal place) _______.

The sampling rate for Compact Discs (CDₛ) is 44,000 samples/s. If the samples are quantized to 256 levels and binary coded, the corresponding bit rate (in bits per second) is _____.

A Michelson Interferometer using a larger source of wavelength λ₀ = 500 nm, with both the mirrors (M₁ & M₂) fixed and positioned equidistant from splitter/ combiner shown in the figure. When a dielectric plate of refractive index n = 1.5, of thickness t, is placed in front of the mirror M₂, a dark fringe is observed on the detector. When the dielectric plate is removed without changing the position of the mirrors M₁ & M₂, a bright fringe is observed on the detector. The minimum thickness t (in nm) of the dielectric is ________.

A multi-mode optical fiber index with a large core diameter has a core refractive index n₁ = 1.5 and cladding refractive index n₂= 1.4142. The maximum value of θ${}_A$ (in degrees) for which the incident light from air will be guided in the optical fiber is ±______.

In the given relaxation oscillator, the Op-Amps and the Zener diodes are ideal. The frequency (in kHz) of the square wave output vₒ is ________.