Area MCQ Quiz - Objective Question with Answer for Area - Download Free PDF

Last updated on Apr 3, 2025

Latest Area MCQ Objective Questions

Top Area MCQ Objective Questions

Area Question 1:

Let a signal a1 sin (ω1t +ϕ ) be applied to a stable linear time invariant system. Let the corresponding steady state output be represented as   a2F(ω2t + ϕ2). Then which of the following statement is true?

  1. F is not necessarily a “Sine” or “Cosine” function but must be periodic with ω1 = ω2
  2. F must be a “Sine” or “Cosine” function with a1 = a2
  3. F must be a “Sine” function with ω1 = ω2 and ϕ1 = ϕ2
  4. F must be a “Sine” or “Cosine” function with ω1 = ω2

Answer (Detailed Solution Below)

Option 4 : F must be a “Sine” or “Cosine” function with ω1 = ω2

Area Question 1 Detailed Solution

For an LTI system i/p and o/p have identical wave shape (ie. Frequency of input-output  is same) with a multiplicative constant (i.e. Amplitude response is constant)

So F must be s sine or cosine ware with ω1 = ωas the amplitude cannot be same unless amplitude of system response is 1. Also, phase cannot remain same unless the phase of system response is zero.
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