PBTE | DAE | MATH-233 APPLIED MATHEMATICS-I | MCQs | Chapter : 12 The Laplace Transform

DAE MATH-233

Contents

1. Applied Mathematics-II
   1. Chapter 12 : The Laplace Transform
   2. Multiple Choice Questions
   3. Chapter:12 (The Laplace Transform)
   4. Question 1:
   5. Question 2:
   6. Question 3:
   7. Question 4:
   8. Question 5:
   9. Question 6:
   10. Question 7:
   11. Question 8:
   12. Question 9:
   13. Question 10:
   14. Question 11:
   15. Question 12:
   16. Question 13:
   17. Question 14:
   18. Question 15:
   19. Question 16:
   20. Question 17:
2. Quiz Results

Applied Mathematics-II

Chapter 12 : The Laplace Transform

DAE Common Technologies | Second Year

Multiple Choice Questions

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• Chapter 12 (The Laplace Transform)

Chapter:12 (The Laplace Transform)

Question 1:

$L\,\left\{ f(t) \right\}$ (the Laplace Transform of ${f(t)}$ ) is

${\int_{0}^{\infty}}\,f(t)\,{e^{-st}}\,{.dt}$ ${\int_{0}^{\infty}}\,f(t)\,{e^{st}}\,{.dt}$ ${\int_{0}^{\infty}}\,f(t)\,{e^{t}}\,{.dt}$ ${\int_{0}^{\infty}}\,f(t)\,{e^{s}}\,{.dt}$

Question 2:

Laplace transform of the function $f(x)\,=\,1$ is

$\frac{1}{s^3}$ $\frac{1}{s^2}$ $\frac{1}{s}$ $-\frac{1}{s}$

Question 3:

Laplace transform of the function $f(x)\,=\,t$ is

$\frac{1}{s}$ $\frac{1}{s^2}$ $\frac{1}{s^3}$ $-\frac{1}{s}$

Question 4:

Laplace transform of the function $f(x)\,=\,2$ is

$\frac{s}{2}$ $\frac{2}{s^2}$ $\frac{2}{s^3}$ $\frac{2}{s}$

Question 5:

Laplace transform of the function $f(x)\,=\,{e^t}$ is

$\frac{1}{s-1}$ $\frac{1}{s}$ $s\,-\,1$ $s$

Question 6:

Laplace transform of the function $f(x)\,=\,{e^{a\,t}}$ is

$\frac{1}{s\,+\,a}$ $\frac{1}{s\,-\,a}$ ${s\,-\,a}$ ${s\,+\,a}$

Question 7:

Laplace transform of the function $f(x)\,=\,{e^{-a\,t}}$ is

$\frac{1}{s\,+\,a}$ $\frac{1}{s\,-\,a}$ ${s\,-\,a}$ ${s\,+\,a}$

Question 8:

The Laplace Transform of $f(t)\,=\,Sin\,\omega{t}$

$\frac{\omega}{{S^2}\,+\,{\omega}^2}$ $\frac{1}{{S^2}\,+\,{\omega}^2}$ $\frac{S}{{S^2}\,+\,{\omega}^2}$ $\frac{1}{{S^2}\,-\,{\omega}^2}$

Question 9:

The Laplace Transform of $f(t)\,=\,{t^n}$

$\frac{n}{s^{n+1}}$ $\frac{n!}{s^{n+1}}$ $\frac{1}{s^{n+1}}$ $\frac{n!}{s^n}$

Question 10:

The inverse Laplace transform ${L^{-1}}\,(\frac{1}{s})$ is equal to

1 2 3 4

Question 11:

The inverse Laplace transform ${L^{-1}}\,(\frac{1}{s^2})$ is equal to

$1$ $t$ $t^2$ $\frac{t}{2}$

Question 12:

$\frac{S}{{S^2}\,+\,{\omega}^2}$ is inverse Laplace transform of

$Sin\,\omega{t}$ $cos\,\omega{t}$ $sin\,(\frac{t}{\omega})$ $cos\,(\frac{t}{\omega})$

Question 13:

$\frac{\omega}{{S^2}\,+\,{\omega}^2}$ is inverse Laplace transform of

$Sin\,\omega{t}$ $cos\,\omega{t}$ $sin\,(\frac{t}{\omega})$ $cos\,(\frac{t}{\omega})$

Question 14:

${\frac{1}{{s^2}\,+\,1}}$ is inverse Laplace transform of

$Sin\,{t}$ $cos\,{t}$ $sin\,(\frac{1}{t})$ $cos\,(\frac{1}{t})$

Question 15:

${\frac{s}{{s^2}\,+\,1}}$ is inverse Laplace transform of

$Sin\,{t}$ $cos\,{t}$ $sin\,(\frac{1}{t})$ $cos\,(\frac{1}{t})$

Question 16:

${L^{-1}}\,(\frac{1}{s\,-\,1})$ is equal to

$e^{-t}$ $e^{2\,t}$ $\frac{1}{t}$ $e^{t}$

Question 17:

${L^{-1}}\,(\frac{1}{s\,+\,1})$ is equal to

$e^{t}$ $e^{2\,t}$ $\frac{1}{t}$ $e^{-t}$

Quiz Results

Total Questions:

Correct Answers:

Incorrect Answers:

Percentage:

Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12

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INSTRUCTOR

MUHAMMAD BIN JAMEEL

BSC ENGG. CIVIL