GATE EE 2004 | Linear Time Invariant Systems Question 46 | Signals and Systems

In the system shown in Fig. the input $$x\left( t \right) = \sin t.$$ In the steady-state, the response $$y(t)$$ will be GATE EE 2004 Signals and Systems - Linear Time Invariant Systems Question 26 English

GATE EE 2004 Signals and Systems - Linear Time Invariant Systems Question 26 English

$${1 \over {\sqrt 2 }}\,\sin \left( {t - {{45}^ \circ }} \right)$$

$${1 \over {\sqrt 2 }}\,\sin \left( {t + {{45}^ \circ }} \right)$$

$$\sin \left( {t - {{45}^ \circ }} \right)$$

$$\sin \left( {t + {{45}^ \circ }} \right)$$

GATE EE 2001

MCQ (Single Correct Answer)

-0.6

Given the relationship between the input $$u(t)$$ and the output $$y(t)$$ to be
$$y\left( t \right) = \int\limits_0^t {\left( {2 + t - \tau } \right){e^{ - 3\left( {t - \tau } \right)}}} u\left( \tau \right)d\tau $$
the transfer function $$Y\left( s \right)/U\left( s \right)$$ is

$${{2{e^{ - 2s}}} \over {s + 3}}$$

$${{s + 2} \over {{{\left( {s + 3} \right)}^2}}}$$

$${{2s + 5} \over {s + 3}}$$

$${{2s + 7} \over {{{\left( {s + 3} \right)}^2}}}$$

Questions Asked from Marks 2

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GATE EE Subjects

Electromagnetic Fields

Signals and Systems

Engineering Mathematics

General Aptitude

Power Electronics

Power System Analysis

Analog Electronics

Control Systems

Digital Electronics

Electrical Machines

Electric Circuits

Electrical and Electronics Measurement