Q. The range of value "a" for which system will be stable. If impulse response of DT system is = aⁿ ∪[n]

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Q. Assertion (A): The number ∈ such that the probability that an error is between -∈ and + ∈ is 1 is called probable error of single obserevation.

Reason (R): The standard deviation is the arms value of the deviation from the arithmetic mean.

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Q. If a function has only cosine terms, it must satisfy the equation

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Q. Laplace transform of unit doublet is

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Q. The integral of a unit step function is

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Q. Highest value of autocorrelation function 100 sin 50 πt is

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Q. A unit impulse voltage is applied to an inductance at t = 0. The current at t = 0 will be

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Q. A voltage wave containing 10% third harmonic is applied to a scries R-L circuit. The percentage third harmonic content in the current wave will be

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Q. A rectangular pulse is passed through an L.P.F. The response is a

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Q. A signal f(t) = cos 10πt + 3 cos 4πt is instantaneously sampled. The maximum allowable value of sampling interval Ts in sec is

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Q. If f(t) is in volts, then F(jω) is in

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Q. A voltage V(t) which is a Gaussian ergodic random process with a mean of zero and a variance of 4 volt² is measured by a true rms meter. The reading will be

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Q. Assertion (A): If I(s) = 2s+10 / s(s+2) , the final value of i(t) = 10

Reason (R): If I(s) = 2s+10 / s(s+2) , the initial value i(t) = 2

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Q. An ac circuit has an impedance of (3 + j6) ohm for fundamental. The impedance for fifth harmonic is

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Q. Which of following is recursive system?

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Q. If i = 10 + 12 cos 500t - 3.5 sin 500 t, then in amplitude phasse form i =

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Q. The real part of complex frequency s corresponds to oscillations.

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Q. A unit step function is used to represent the closing a switch in a constant voltage system.

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Q. A voltage v = 100 sin ωt + 10 sin 5 ωt is applied to a pure capacitor having capacitance of 1 μF. If ω = 314 rad/sec, the current through the capacitor is

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Q. In terms of signum function sgn(t), unit step function u(t) =

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