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Total Questions : 67 | Page 7 of 7 pages
Question 61. Two systems with impulse responses h1 (t) and h2 (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
  1.    product of h1 (t) and h2 (t)
  2.    sum of h1 (t) and h2 (t)
  3.    convolution of h1 (t) and h2 (t)
  4.    subtraction of h2 (t) and h1 (t)
 Discuss Question
Answer: Option C. -> convolution of h1 (t) and h2 (t)


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Question 62. In a forward biased pn junction diode, the sequence of events that best describes the mechanism of current flow is
  1.    injection, and subsequent diffusion and recombination of minority carriers
  2.    injection, and subsequent drift and generation of minority carriers
  3.    extraction, and subsequent diffusion and generation of minority carriers
  4.    extraction, and subsequent drift and recombination of minority carriers
 Discuss Question
Answer: Option A. -> injection, and subsequent diffusion and recombination of minority carriers


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Question 63. The maximum value of θ until which the approximation sinθ ≈ θ holds to within 10% error is
  1.    10o
  2.    18o
  3.    50o
  4.    90o
 Discuss Question
Answer: Option C. -> 50o


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Question 64. The divergence of the vector field Ᾱ = xâx + yây + zâz is
  1.    0
  2.    1/3
  3.    1
  4.    3
 Discuss Question
Answer: Option D. -> 3


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Question 65. The impulse response of a system is h(t) = t u(t) . For an input u(t -1) , the output is
  1.    t2/2 u(t)
  2.    t(t - 1)/2 u(t - 1)
  3.    (t - 1)2/2 u(t - 1)
  4.    (t2 - 1)/2 u(t - 1)
 Discuss Question
Answer: Option C. -> (t - 1)2/2 u(t - 1)


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Question 66. A system described by a linear, constant coefficient, ordinary, first order differential equation has an exact solution given by y(t) for t > 0 , when the forcing function is x(t) and the initial condition is y(0) . If one wishes to modify the system so that the solution becomes -2y(t) for t > 0 , we need to
  1.    change the initial condition to -y(0) and the forcing function to 2x(t)
  2.    change the initial condition to 2y(0) and the forcing function to -x(t)
  3.    change the initial condition to j √2 y(0) and the forcing function to j √2x(t )
  4.    change the initial condition to -2y(0) and the forcing function to -2x(t)
 Discuss Question
Answer: Option D. -> change the initial condition to -2y(0) and the forcing function to -2x(t)


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Question 67. Consider two identically distributed zero-mean random variables U and V . Let the cumulative distribution functions of U and 2V be F (x) and G(x) respectively. Then, for all values of x
  1.    F (x) - G(x) ≤ 0
  2.    F (x) - G(x) ≥ 0
  3.    (F( x) - G(x)) . x ≤ 0
  4.    (F( x) - G(x)) × x ≥ 0
 Discuss Question
Answer: Option D. -> (F( x) - G(x)) × x ≥ 0


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