1
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6

Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective resistances are R1 and R2. When connected in series, their effective Q factor at the same operating frequency is

A
q1 + q2
B
(1/q1) + (1/q2)
C
(q1R1 + q2R2)/(R1 + R2)
D
(q1R2 + q2R1)/(R1R2)
2
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
For a periodic signal v(t) = 30 sin 100t + 10cos 300t + 6sin $${\rm{(500t + }}\,\pi /4)$$, the fundamental frequency in rad/s is
A
100
B
300
C
500
D
1500
3
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
The impulse response of a system is h(t) = t u(t). For an input u(t - 1), the output is
A
$${{{t^2}} \over 2}u\left( t \right)$$
B
$${{t\left( {t - 1} \right)} \over 2}u\left( {t - 1} \right)$$
C
$${{{{\left( {t - 1} \right)}^2}} \over 2}u\left( {t - 1} \right)\,$$
D
$${{{t^2} - 1} \over 2}u\left( {t - 1} \right)$$
4
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
The impulse response of a continuous time system is given by $$h(t) = \delta (t - 1) + \delta (t - 3)$$. The value of the step response at t = 2 is
A
0
B
1
C
2
D
3