Determine the interplanar spacing of the (110) planes in Cu given that its lattice constant is 3.61Å.

List the symmetries of the H₂O molecule.

Design and draw the circuit of a three channel op-amp adder with channel gains of -5, -10 and-15 respectively.

Draw a circuit of a non-inverting amplifier with gain 1 using op-amp. Draw the output voltage curve of this circuit for a step input of 5V amplitude and 50 kHz frequency, if the slew rate of the op-amp is 0.5 Vus^-1. (Use proper scale on the time axis to illustrate the effect of slew rate).

In a voltage regulator circuit, the output voltage under no load condition is 12V while under full load it is 11.8V. Over the full range of input voltage variation the nominal voltage output of 12V varies by 50 mV. Calculate percentage line and load regulation.

Explain FP Tree Growth Algorithm with a suitable example.

State the Barkhausen criterion for sustained oscillation. Explain the operation of Colpitt Oscillator. For a Colpitt oscillator with 10 MHz frequency determine the equivalent capacitance, C forming tank circuit with 0.1 mH inductor.

h-parameters of a single stage CE amplifier are given as h_ie = 1 k , h_re = 3 × 10 ^-4, h_fe = 60 and h_oe = 25 µAV^-1. Calculate Ai, A_v and Z_out with r_s =100  and r_L =10kΩ.

Refer to the universal bias shown in Fig. 4.11 of your study material. If V_ee = 10V, R₁ = R₂ = R_C= R_E = 10k , V_BE = 0.7V and  = 100, calculate V_B, V_E, I_E, I_B, V_C and V_CE-

Which processes are responsible for the charge carrier transport in a semiconductor? Which of these govern in the case of a bulk semiconductor when no potential is applied?

A series LCR circuit with L = 400 mH, C = 20 nF and R = 250  is connected to an AC source of 65 V. Calculate the resonance frequency and O of the circuit. What is the current flowing through the circuit and voltage across the capacitor at resonance frequency?

Explain with a neat diagram application of p-n junction diode as a peak voltage detector.

Use superposition principle to find the current flowing through R2 in Fig.1.

Compute the Linear Discriminant projection for the following two-dimensional dataset:

X₁ =(x₁, x₂) = (4, 2), (2, 2), (3, 2), (3, 5), (3, 4)

X₂ = (x₁, x₂) = (8, 7), (9, 6), (7, 7), (9, 8), (10, 9)

State, with reasons, whether the following statements are True or False.

i) Ideal voltage source has infinite internal resistance.

ii) Transformer is a passive device hence it cannot increase the voltage.

iii) Field effect transistor (FET) is a current controlled device.

iv) Forward biasing of a semiconductor junction diode reduces its energy band gap.

v) Amplifier with common collector mode offers maximum voltage gain.

vi) Ripple factor of a center tapped full wave rectifier is greater than that of a bridge rectifier, which uses four diodes.

vii) Operational amplifier in non-inverting mode cannot amplify negative signals.

viii) IC LM380 is a small signal amplifier used to amplify the voltage.

ix) Largest decimal number represented by a 2-digit hex number is 99.

x) In a CRO sweep generator output is given to the vertical deflection plates.

For the given points of two classes red and blue:

Blue: { (1,2), (2,1), (1,-1), (1,-2)}

Red : { (3,1), (4,3), (3,5), (6,3)}

Plot a graph for the red and blue categories. Find the support vectors and optimal separating line.

Explain K-Nearest Neighbors classification Algorithm with a suitable example.

Explain Naïve Bayes Classification Algorithm with a suitable example.

Explain Decision Tree algorithm with the help of a suitable example.

What is logistic regression? Explain with the help of a suitable example.