ISRO Scientist or Engineer Electronics 2016

Instructions

For the following questions answer them individually

Question 51

Both transistor T1 and T2 in figure have a threshold voltage of 1V. The device parameters K1 and K2 of T1 and T2 are $$36 \mu A/V^2$$ and $$9 \mu A/V^2$$ respectively. The o/p voltage $$V_0$$ is

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Question 52

A ramp input applied to a unity feedback system results in 5% steady state error. The type number andzero frequency gain of the system are

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Question 53

The magnitude of frequency response of an under-sampled second order system is 5 at 0 rad/sec and peaks to $$\frac {10}{\sqrt 3} at 5 \sqrt 2 rad/sec.$$ The transfer function of the system is

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Question 54

The system with the open loop transfer function $$G(s)H(s) = \frac {1}{s(s^2 + s + 1)}$$ has a gain margin of

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Question 55

Given $$f(t) = L^{-1} \left[ \frac{3s + 1}{s^3 + 4s^2 + (k - 3)}\right]$$, if $$\lim_{x \rightarrow \pi} f(t) = 1,$$ then the value of k is

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Question 56

A person on trip has a choice between private car and public transport. The probability of using a private car is 0.45. While using public transport, further choice available are bus and metro. Out of which the probability of commuting by a bus is 0.55. In such a situation, the probability (rounded upto two decimals)of using a car, bus and metro respectively would be

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Question 57

Areal root of equation $$x^2 - 5x - 7 = 0$$ by the method of false position correct to three decimal places is

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Question 58

Find the z- transform of $$\cos h(n\theta)$$

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Question 59

Newton-Raphton iteration formula for finding $$\sqrt[3]{C}$$, where $$C > 0$$ is

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Question 60

The value of $$\lim_{x \rightarrow 8} \left(\frac {x^{\frac{1}{3}} - 2}{x - 8}\right)$$ is

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