Reference no: EM132352687
Assessment -
Answer all questions. Please submit working and answers via loop.
Q1. Select the correct inverse Laplace Transform of 12/(s2+4s+20)
3u(t)e-2tsin4t
3u(t)e2tsin4t
12u(t)e-2tsin4t
12u(t)e2tsin20t
None of the these
Q2. Which of the following is the approximate period (in seconds) of the function g(t) = cos(8t) + 2 cos(12t) - 3 sin(20t)?
8s
3.142s
0.785s
1.571s
None of the these
Q3. Select the correct result for the following integration -∞∫∞2tδ(t - 3)dt.
8
6
5
2
None of the these
Q4. Given that the Fourier transform of u(t)e-t is 1/(1+jω), use the duality principle to deduce the transform of 1/(1+jt).
2π(u(-ω)eω)
2π(u(ω)e-ω)
1/2π(u(-ω)eω)
1/2π(u(ω)e-ω)
None of the these
Q5. Select the correct convolution result of f ∗ g when f(t) = u(t)e-t and g(t) = u(t)e-2t.
u(t)e-3t
u(t){et - e2t}
u(t){e-t - e-2t}
u(t)e3t
None of the these
Q6. Select the correct inverse Fourier transform of 20((sin 10ω)/10ω).
u(t + 10) - u(t - 10)
u(t + 20) - u(t - 20)
20{u(t + 10) - u(t -10)}
20{u(t +20) - u(t - 20)}
None of the these
Q7. Select the correct function whose Fourier transform is 1/(1+j(ω-7)).
u(t)e(1+7j)t
u(t)e-(j+7)t
u(t)e-(j-7)t
u(t)e-(1-7j)t
None of the these
Q8. Let
![1926_figure.png](https://secure.expertsmind.com/CMSImages/1926_figure.png)
k(t) is r(t) advanced (shifted left) by 3 seconds. Select the correct expression for the Fourier Transform K(ω) of k(t). Hint: Sketch the function.
e-6/(jω + 2)
e-3/(jω + 2)
e3/(jω + 2)
e6/(jω + 2)
None of the these
Q9. y(t) is as shown in the figure. Which of the following is the Fourier transform of y(t)?
![1406_figure1.png](https://secure.expertsmind.com/CMSImages/1406_figure1.png)
12/ω{sin(2ω) - sin(ω)}
6/ω{sin(2ω) - sin(ω)}
3/ω{sin(2ω) - sin(ω)}
4sinc(2ω)
None of the these