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BARC ECE Mini Mock 1

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Question 1

Let

1 be a cube root of unity and S be the set of all non-singular matrices of the form

where each of a, b and c is either

. Then the number of distinct matrices in the set S is

Question 2

Which of the following is the suitable response of the system s(n+2) – 3s(n+1)+2s(n) = δ(n), when all the initial conditions are zero?

Question 3

Find the bandwidth (in rad/s) of a parallel GLC resonant circuit whose transfer function is Z(s) =

Question 4

A uniform plane wave in region 1 is normally incident on the planner boundary separating region 1 and 2. Both region are lossless and

If the 20% of the energy in the incident wave is reflected at the boundary then ratio

Question 5

With switch opened at t=0, find i(t).

Question 6

A source has alphabets {a, b, c, d} with corresponding probabilities {0.15, 0.2, 0.3, 0.35}. The minimum required average code word length to represent this source for error free reconstruction is

Question 7

How many half adder circuits are required to implement the four boolean functions.
D= A⊕B⊕C, where ⊕ is XOR gate.
E= A’BC +AB’C
F= ABC’ + (A’ + B’) C
G= ABC

Question 8

A silicon abrupt junction in thermal equilibrium at T=300K is doped such that

in n-region and

in the p-region. Consider N_c =

and N_a =

What will be the impurity doping concentrations N_d and N_a in n and p-regions and the built-in potential barrier, V_bi in the p-n junction respectively?