1
GATE EE 2017 Set 2
Numerical
+1
-0
For the given 2-port network, the value of transfer impedance Z21 in ohms is_______.
2
GATE EE 2017 Set 2
+1
-0.3
Two resistors with nominal resistance values $${R_1}$$ and $${R_2}$$ have additive uncertainties $$\Delta {R_1}$$ and $$\Delta {R_2},$$ respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent resistance $$R$$ is
A
$$\pm \sqrt {{{\left( {{{\partial R} \over {\partial {R_1}}}\Delta {R_1}} \right)}^2} + {{\left( {{{\partial R} \over {\partial {R_2}}}\Delta {R_2}} \right)}^2}}$$
B
$$\pm \sqrt {{{\left( {{{\partial R} \over {\partial {R_2}}}\Delta {R_1}} \right)}^2} + {{\left( {{{\partial R} \over {\partial {R_1}}}\Delta {R_2}} \right)}^2}}$$
C
$$\pm \sqrt {{{\left( {{{\partial R} \over {\partial {R_1}}}} \right)}^2}\Delta {R_2} + {{\left( {{{\partial R} \over {\partial {R_2}}}} \right)}^2}\Delta {R_1}}$$
D
$$\pm \sqrt {{{\left( {{{\partial R} \over {\partial {R_1}}}} \right)}^2}\Delta {R_1} + {{\left( {{{\partial R} \over {\partial {R_2}}}} \right)}^2}\Delta {R_2}}$$
3
GATE EE 2017 Set 2
+1
-0.3
A stationary closed Lissajous pattern on an oscilloscope has $$3$$ horizontal tangencies and $$2$$ vertical tangencies for a horizontal input with frequency $$3$$ $$kHZ.$$ The frequency of the vertical input is
A
$$1.5$$ $$kHz$$
B
$$2$$ $$kHz$$
C
$$3$$ $$kHz$$
D
$$4.5$$ $$kHz$$
4
GATE EE 2017 Set 2
Numerical
+2
-0
A $$10{\raise0.5ex\hbox{\scriptstyle 1} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 2}}$$ digit timer counter possesses a base clock of frequency $$100$$ $$MHz$$. When measuring a particular input, the reading obtained is the same in: (i) Frequency mode of operation with a gating time of one second and (ii) Period mode of operation (in the $$\times \,\,\,10$$ ns scale). The frequency of the unknown input (reading obtained) in $$Hz$$ is _______.
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