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Quiz: Signals and Systems Set-3

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Number of Questions: 25

Question: 11 -

The Fourier series of an odd periodic function contains

Options:

  1. even harmonics only

  2. cosine harmonics only

  3. sine harmonics only

  4. odd harmonics only

    5. Answer:

    sine harmonics only
    Solution:

    For an odd function f(- x) = - f(x) Hence, only sine terms.

Question: 12 -

An analog signal given below is sampled by 600 samples per second for m(t) = 3 sin 500 pt + 2 sin 700 pt then folding frequency is

Options:

  1. 500 Hz

  2. 1400 Hz

  3. 300 Hz

  4. 700 Hz

    5. Answer:

    300 Hz
    Solution not available.

Question: 13 -

Double integration of a unit step function would lead to

Options:

  1. an impulse

  2. a doublet

  3. a ramp

  4. a parabola

    5. Answer:

    a parabola
    Solution not available.

Question: 14 -

A box has 4 white and 3 red balls. Two balls are taken out in succession. What is the probability that both are white?

Options:

  1. 1/7

  2. 4/7

  3. 1/2

  4. 2/7

    5. Answer:

    2/7
    Solution:

    The probability that first ball is white is 4/7 and the probability the second ball is white is 3/6.

Question: 15 -

Which one is a causal system?

Options:

  1. y(n) = 3x[n + 1] + 2x[n - 1]

  2. y(n) = 3x[n] - 2x[n - 1]

  3. y(n) = 3x[n] + 2x[n + 1]

  4. y(n) = 3x[n + 1] 2x[n - 1] + x[n]

    5. Answer:

    y(n) = 3x[n] - 2x[n - 1]
    Solution:

    For causal output must depend upon Present and past not on future.