1
GATE EE 2008
MCQ (Single Correct Answer)
+2
-0.6
The truth of a monoshot shown in the figure is given in the table below: GATE EE 2008 Analog Electronics - 555 Timer Question 1 English 1

Two monoshots, one positive edge triggered and other negative edge triggered, are connected as shown in the figure. The pulse widths of the two monoshot options, $${Q_1}$$ and $${Q_2}$$ are $${T_{O{N_1}}}$$ and $${T_{O{N_2}}}$$ respectively.

GATE EE 2008 Analog Electronics - 555 Timer Question 1 English 2

The frequency and the duty cycle of the signal at $${Q_1}$$ will respectively be

GATE EE 2008 Analog Electronics - 555 Timer Question 1 English 3
A
$$F = {1 \over {{T_{ON1}} + {T_{ON2}}}},{\mkern 1mu} D = {{{T_{O{N_1}}}} \over {{T_{O{N_1}}} + {T_{O{N_2}}}}}$$
B
$$F = {1 \over {{T_{O{N_1}}} + {T_{O{N_2}}}}},{\mkern 1mu} D = {{{T_{O{N_2}}}} \over {{T_{O{N_1}}} + {T_{O{N_2}}}}}$$
C
$$F = {1 \over {{T_{O{N_1}}}}},{\mkern 1mu} D = {{{T_{O{N_1}}}} \over {{T_{O{N_1}}} + {T_{O{N_2}}}}}$$
D
$$F = {1 \over {{T_{O{N_2}}}}},{\mkern 1mu} D = {{{T_{O{N_1}}}} \over {{T_{O{N_1}}} + {T_{O{N_2}}}}}$$
2
GATE EE 2008
MCQ (Single Correct Answer)
+1
-0.3
A function $$y(t)$$ satisfies the following differential equation : $${{dy\left( t \right)} \over {dt}} + y\left( t \right) = \delta \left( t \right)$$

Where $$\delta \left( t \right)$$ is the delta function. Assuming zero initial condition, and denoting the unit step function by $$u(t),y(t)$$ can be of the form

A
$${e^{ t}}$$
B
$${e^{ - t}}$$
C
$${e^{ t}}$$$$u(t)$$
D
$${e^{ - t}}$$$$u(t)$$
3
GATE EE 2008
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}$$

The steady state value of the output of the system for a unit impulse input applied at time instant $$t=1$$ will be

A
$$0$$
B
$$0.5$$
C
$$1$$
D
$$2$$
4
GATE EE 2008
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a system is given as $${{100} \over {{s^2} + 20s + 100}}.$$ The system is
A
an over damped system
B
an under damped system
C
a critically damped system
D
an unstable system
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