GATE ECE 2013 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2013

MCQ (Single Correct Answer)

-0.3

Let g(t) = $${e^{ - \pi {t^2}}}$$, and h(t) is a filter matched to g(t). If g(t) is applied as input to h(t), then the Fourier transform of the output is

$${e^{ - \pi {f^2}}}\,$$

$${e^{ - \pi {f^2}/2}}\,$$

$${e^{ - \pi \left| f \right|}}$$

$${e^{ - 2\pi {f^2}}}$$

GATE ECE 2013

MCQ (Single Correct Answer)

-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

100

300

500

1500

GATE ECE 2013

MCQ (Single Correct Answer)

-0.3

In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41ºC and of Tuesday to Thursday was 43ºC. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in ºC on Thursday was

GATE ECE 2013

MCQ (Single Correct Answer)

-0.6

Find the sum to n terms of the series 10 + 84 + 734 +.........

$${{9\left( {{9^n} + 1} \right)} \over {10}} + 1$$

$${{9\left( {{9^n} - 1} \right)} \over 8} + 1$$

$${{9\left( {{9^n} - 1} \right)} \over 8} + n$$

$${{9\left( {{9^n} - 1} \right)} \over 8} + {n^2}$$

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