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BARC OCES 2022 Quiz 5

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Question 1

Let A be a 4x 3 real matrix with rank 2. Which one of the following statement is TRUE?

Question 2

Assume ni = 1.45 x 1010/cm3 for silicon. In an n-type silicon sample, the donor concentration at 300 K is 5 x 1014/cm3 and corresponds to 1 impurity atom for 108 silicon atoms. The electron and hole concentrations in the sample will be

Question 3

Which of the following is the response y(t) of a causal LTI system described by for a given input x(t) = e–t u(t)?

Question 4

With the increase in the transmission bandwidth, received signal-power in AM and FM will, respectively

Question 5

The circuit shown in below, uses an ideal opamp working with +5V and –5V power supplies. The output voltage V0 is equal to
               

Question 6

Consider the wave propagation in a lossy dielectric. The attenuation constant of the medium is

Question 7

A frequency counter needs to measure a frequency of 15 Hz. Its signal gating time is 2 s. What is the percentage accuracy of the counter, taking into account the gating error?

Question 8

The open loop transfer function of unity feedback control system is  then find marginal value of K.

Question 9

Consider the following MUX circuit shown below,

f (A, B, C) can be represented as

Question 10

In a linear network, a 1 resistor consumes a power of 4 W when voltage source of 4 V is applied to the entire circuit, and 16 W when the voltage source is replaced by an 8 V source. The power consumed by the 1resistor when 12 V is applied will be
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May 29ESE & GATE EC