1
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
What is the $$rms$$ value of the voltage waveform shown in Fig? GATE EE 2002 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 11 English
A
$$200/\pi \,V$$
B
$$100/\pi \,V$$
C
$$200$$ $$V$$
D
$$100$$ $$V$$
2
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
Fourier Series for the waveform, $$f(t)$$ shown in Fig. is GATE EE 2002 Signals and Systems - Continuous Time Periodic Signal Fourier Series Question 12 English
A
$${8 \over {{\pi ^2}}}\left[ {\sin \left( {\pi t} \right) + {1 \over 9}\sin \left( {3\,\pi t} \right) + {1 \over {25}}\sin \left( {5\,\pi t} \right) + ........} \right]$$
B
$${8 \over {{\pi ^2}}}\left[ {\sin \left( {\pi t} \right) - {1 \over 9}\cos \left( {3\,\pi t} \right) + {1 \over {25}}\sin \left( {5\,\pi t} \right) + ........} \right]$$
C
$${8 \over {{\pi ^2}}}\left[ {\cos \left( {\pi t} \right) + {1 \over 9}\cos \left( {3\,\pi t} \right) + {1 \over {25}}\cos \left( {5\,\pi t} \right) + ........} \right]$$
D
$${8 \over {{\pi ^2}}}\left[ {\cos \left( {\pi t} \right) - {1 \over 9}\sin \left( {3\,\pi t} \right) + {1 \over {25}}\sin \left( {5\,\pi t} \right) + ........} \right]$$
3
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
$$s(t)$$ is step response and $$h(t)$$ is impulse response of a system. Its response $$y(t)$$ for any input $$u(t)$$ is given by
A
$${d \over {d\,t}}\int\limits_0^t s \left( {t - \tau } \right)\,u\left( \tau \right)\,d\,\tau $$
B
$$\int\limits_0^t s \left( {t - \tau } \right)\,u\left( \tau \right)\,d\,\tau $$
C
$$\int\limits_0^t {\int\limits_0^\tau s \left( {t - {\tau _1}} \right)\,u\left( {{\tau _1}} \right)\,d{\tau _1}} \,d\tau $$
D
$${d \over {d\,t}}\int\limits_0^t h \left( {t - \tau } \right)\,u\left( \tau \right)\,d\,\tau $$
4
GATE EE 2002
MCQ (Single Correct Answer)
+1
-0.3
Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is
A
$$\underset{s\rightarrow0}{L\mathrm{im}\;}Y\left(s\right)$$
B
$$\underset{s\rightarrow\infty}{L\mathrm{im}\;}Y\left(s\right)$$
C
$$\underset{s\rightarrow0}{L\mathrm{im}\;}sY\left(s\right)$$
D
$$\underset{s\rightarrow\infty}{L\mathrm{im}\;}sY\left(s\right)$$
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