GATE IN 2016 Question Paper (31-Jan-2016) (Shift 2)

The photo diode in the figure below has an active sensing area of 10 mm², a sensitivity of 0.5 A/W and a dark current of 1 µA. The i-to-v converter has a sensitivity of 100 mV/µA. For an input light intensity of 4 W/m², the output V${}_O$ in volt is ____.

The velocity of flow of water (density 1000 kg/m³) in a horizontal pipe is measured using the PITOT tube shown below. The fluid in the U-tube manometer is mercury with a density of 13534 kg/m³. Assume g = 9.81 m/s². If the height difference (h) is measured as 94.1 mm, the velocity of flow of water in m/s is _______.

The bandgap in eV of a semiconductor material required to construct an LED that emits peak power at the wavelength of 620 nm is ______.
(Plank constant h = 4.13567 × 10⁻¹⁵ eV s and speed of light c = 2.998 × 10⁸ m/s).

The signal $m\left(t\right)=\frac{\sin \left(100\pi t\right)}{100\pi t}$ is frequency modulated (FM) with an FM modulator of frequency deviation constant of 30 kHz/V. Using Carson’s rule, the approximate bandwidth of the modulated wave in kilohertz is _________.

A signal m(t) varies from -3.5 V to +3.5 V with an average power of 3 W. The signal is quantized using a midtread type quantizer and subsequently binary encoded. With the codeword of length 3, the signal to quantization noise ratio in dB is _______.