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  • Question
  • Consider the system Consider the system with and where p and q are arbitrary real numbers. Which of the following statem with Consider the system with and where p and q are arbitrary real numbers. Which of the following statem and Consider the system with and where p and q are arbitrary real numbers. Which of the following statemwhere p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true?


  • Options
  • A. The system is completely state controllable for any non zero values p and q
  • B. Only p = 0 and q = 0 result in controllability
  • C. The system is uncontrollable for all values of p and q
  • D. We cannot conclude about controllability from the given data

  • Correct Answer
  • The system is uncontrollable for all values of p and q 

    Explanation
    Use the condition of controllability.

    Exam Questions Papers problems


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    • 1. In a flash type ADC, employing 15 comparators resolution with 10 volts reference; is expected to be :

    • Options
    • A. 0.625 V
    • B. 0.656 V
    • C. 0.525 V
    • D. insufficient data
    • Discuss
    • 2. Consider the following

      1. Maximum energy of electrons liberated photoelectrically is independent of light intensity
      2. Maximum energy of electrons liberated photoelectrically varies nonlinearly with frequency of incident light.

    • Options
    • A. (1) is true and (2) is false
    • B. (1) and (2) both are true
    • C. (1) is false and (2) is true
    • D. (1) and (2) both are false
    • Discuss
    • 3. The impulse response and the excitation function of a linear time invariant causal system are shown in figure (a) and (b) respectively. The output of the system at t = 2 sec is equal to

    • Options
    • A. 0
    • B. 2
    • C.
    • D.
    • Discuss
    • 4. If x[n] then the sequence x[n] is

    • Options
    • A. non-periodic
    • B. periodic
    • C. depends on n
    • D. none of these
    • Discuss
    • 5. An air-filled rectangular waveguide has dimensions 8cm x 10cm . The phase velocity of guided wave at frequency of 3 GHz for TE10 mode is

    • Options
    • A. 1.5 x 108 m/s
    • B. 5.5 x 108 m/s
    • C. 3.46 x 108 m/s
    • D. 0.18 x 107 m/s
    • Discuss
    • 6. In a 4 bit weighted resistor D/A converter, the resistor value corresponding to LSB is 32 k?. The resistor value corresponding to MSB will be

    • Options
    • A. 32 K?
    • B. 16 K?
    • C. 8 K?
    • D. 4 K?
    • Discuss
    • 7. For a = - 1, find the value of V2

    • Options
    • A. ?
    • B. 0
    • C. V1
    • D. none of the above
    • Discuss
    • 8. The specific gravity of tungsten is 13.8 and its atomic weight is 184.0 Assume that there are two free elements per atom. Then the Fermi level or characteristic energy for the crystal in eV will be

    • Options
    • A. 8.95 eV
    • B. -8.95 eV
    • C. 7.326 eV
    • D. -7.326 eV
    • Discuss
    • 9. As the temperature increases the mobility of electrons __________ .

    • Options
    • A. decreases because the number of carries increases with increased collisions
    • B. increases because the number of carries decreases with decreased collisions
    • C. remains same
    • D. none of the above
    • Discuss
    • 10. In the circuit below, delay of the EXOR and AND


      Logic gates are 20 ?s and 10 ?s respectively, then the wave y' and y (with initial condition y = 1) will be :

    • Options
    • A.
    • B.
    • C.
    • D.
    • Discuss


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