1
GATE ECE 1997
Subjective
+5
-0
A dipole antenna has a sin$$\theta$$ radiation pattern where the angle $$\theta$$ is measured from the axis of the dipole. The dipole is vertically located above an ideal ground plane (Fig.). What should be the height of the dipole H in terms of wave length so as to get a null in the radiation pattern at an angle of 450 from the ground plane? Find the direction of maximum radiation also.
2
GATE ECE 1997
+1
-0.3
The units of $$\frac q{KT}$$ are
A
V
B
V-1
C
J
D
J/K
3
GATE ECE 1997
+1
-0.3
The curve given by the equation $${x^2} + {y^2} = 3axy$$ is
A
Symmetrical about $$x$$-axis
B
Symmetrical about $$y$$-axis
C
Symmetrical about the line $$y=x$$
D
Tangential to $$x=y=a/3$$
4
GATE ECE 1997
+1
-0.3
The laplace transform of $${e^{\alpha t}}\,\cos \,\alpha \,t$$ is equal to ____________.
A
$${{s - \alpha } \over {{{\left( {s - \alpha } \right)}^2} + {\alpha ^2}}}$$
B
$${{s + \alpha } \over {{{\left( {s + \alpha } \right)}^2} + {\alpha ^2}}}$$
C
$${1 \over {{{\left( {s - \alpha } \right)}^2}}}$$
D
None
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