Final Value Theorem MCQ Quiz in मराठी - Objective Question with Answer for Final Value Theorem - मोफत PDF डाउनलोड करा

Last updated on Apr 11, 2025

पाईये Final Value Theorem उत्तरे आणि तपशीलवार उपायांसह एकाधिक निवड प्रश्न (MCQ क्विझ). हे मोफत डाउनलोड करा Final Value Theorem एमसीक्यू क्विझ पीडीएफ आणि बँकिंग, एसएससी, रेल्वे, यूपीएससी, स्टेट पीएससी यासारख्या तुमच्या आगामी परीक्षांची तयारी करा.

Latest Final Value Theorem MCQ Objective Questions

Top Final Value Theorem MCQ Objective Questions

Final Value Theorem Question 1:

Given that \({L^{ - 1}}\left( {{{5{S^2} + 3S} \over {{S^4} + 7{S^3} + \left( {K + 9} \right){S^2}}}} \right) = f\left( t \right)\)

And steady state value of signal is 2 then k is:

  1. 2

  2. - 7.5

  3. - 6.5

  4. - 8.5

Answer (Detailed Solution Below)

Option 2 :

- 7.5

Final Value Theorem Question 1 Detailed Solution

\(\eqalign{ & \mathop {\lim }\limits_{t \to \infty } f\left( t \right) = \mathop {\lim }\limits_{s \to 0} sf\left( s \right) = 2 \cr & = \mathop {\lim }\limits_{s \to 0} S\left( {{{5{S^2} + 3S} \over {{S^4} + 7{S^3} + \left( {K + 9} \right){S^2}}}} \right) = 2 \cr & = {3 \over {K + 9}} = 2 \cr & \therefore K = - 9 + 1.5 = - 7.5 \cr}\)

Final Value Theorem Question 2:

If F(s) \(=\frac{{2\left( {s + 1} \right)}}{{{s^2} + 2s + 5}}\)then f(0) and f(∞) are

  1. 0, 2

  2. 0, 1

  3. 2, 0

  4. 2/5, 0

Answer (Detailed Solution Below)

Option 3 :

2, 0

Final Value Theorem Question 2 Detailed Solution

\(f(0^+)=\lim_{s \to \infty}sF(s)=2\)

\(f(\infty)=\lim_{s \to 0}sF(s)=0\)

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