GATE ECE 2001 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2001

MCQ (Single Correct Answer)

-0.6

An Amplifier using an Op-Amp with a Slew-Rate SR = V/$$\mu $$sec, has a gain of 40 dB. If this amplifier has to faith fully amplify sinsoidal signals from dc to 20 KHz. Without introducing any Slew Rate induced distortion, then the input signal level must not exceed.

795 mV

395 mV

79.5 mV

39.5 mV

GATE ECE 2001

MCQ (Single Correct Answer)

-0.3

The PDF of a Gaussian random variable X is given by $${p_x}(x) = \,{1 \over {3\sqrt {2\pi } }}\,\exp \,[ - \,{(x - 4)^2}/18]$$.

The probability of the event {X = 4} is

1/2

$$1/\left( {3\sqrt {2\,\pi } } \right)$$

1/4

GATE ECE 2001

MCQ (Single Correct Answer)

-0.3

A band limited signal is sampled at the Nyquist rate. The signal can be recovered by passing the samples through

an RC filter

an envelope detector

a PLL

an ideal low-pass filter with the appropriate bandwidth

GATE ECE 2001

MCQ (Single Correct Answer)

-0.6

During transmission over a communication channel, bit errors occur independently with probability 'p'. If a block of n bits is transmitted, the probability of at most one bit error is equal to

$$1 - {\left( {1 - p} \right)^n}$$

$$p + \left( {n - 1} \right)\left( {1 - p} \right)$$

$$np - {\left( {1 - p} \right)^{n - 1}}$$

$${\left( {1 - p} \right)^n} + np{\left( {1 - p} \right)^{n - 1}}$$

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