Trivia Questions On Differential Equation

28 Questions | Total Attempts: 418

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Trivia Questions On Differential Equation


Questions and Answers
  • 1. 
    1. A Laplace Transform exists when ______
    • A. 

      The function is piece-wise continuous

    • B. 

      The function is of exponential order

    • C. 

      The function is piecewise discrete

    • D. 

      The function is of differential order

  • 2. 
    A partial differential equation requires :
    • A. 

      Exactly one independent variable

    • B. 

      More than one dependent variable

    • C. 

      Two or more independent variables

    • D. 

      Equal number of dependent and independent variables

  • 3. 
    Laplace transform of ​cos(at) = ?
    • A. 

      .

    • B. 

      .

    • C. 

      .

    • D. 

      .

  • 4. 
    In the Fourier series for Odd functions what all coefficients become zero?
    • A. 

      A​n

    • B. 

      Bn

    • C. 

      A0

    • D. 

      B0

  • 5. 
    Which of the following are Legendre Differential equations?
    • A. 

      .

    • B. 

      .

    • C. 

      .

    • D. 

      .

  • 6. 
    The solution of a differential equation which is not obtained from the general solution is known as :
    • A. 

      Particular solution

    • B. 

      Complete solution

    • C. 

      Auxiliary solution

    • D. 

      Singular solution

  • 7. 
    Cauchy - Euler equation out of the following is:
    • A. 

      .

    • B. 

      .

    • C. 

      .

    • D. 

      .

  • 8. 
    L[f ′(t)]   is :
    • A. 

      L[f(t)] – Sf(0)

    • B. 

      S L[f(t)] – f(0)

    • C. 

      S L[f(t)]

    • D. 

      L[f(t)] – f(0)

  • 9. 
    Wronskian of two linearly dependent functions f and g is:
    • A. 

      Non zero

    • B. 

      Non zero and W(f, g) = f g′ – g f ′

    • C. 

      Zero

    • D. 

      Depends on the functions

  • 10. 
    Find the value of the following integral
    • A. 

      Tan x + C

    • B. 

      Tan x + x + C

    • C. 

      Tan x - x + C

    • D. 

      Sec x - x + C

  • 11. 
    The ohmmeter reading for a short-circuited capacitor is
    • A. 

      Infinity

    • B. 

      Few mega ohms

    • C. 

      Few kilo ohms

    • D. 

      Zero

  • 12. 
    Which one of the following statements does not state that electrostatic field is conservative?
    • A. 

      The curl of E is identically zero

    • B. 

      The potential difference between two points is zero

    • C. 

      The electrostatic field is a gradient of a scalar potential

    • D. 

      The work done in a closed path inside the field is zero

  • 13. 
    When a magnet is in motion relative to a coil the induced e.m.f. does not depend upon 
    • A. 

      Resistance of the coil

    • B. 

      Motion of the magnet

    • C. 

      Number of turns of the coil

    • D. 

      Pole strength of the magnet

  • 14. 
    The uniform magnetic field is 
    • A. 

      The field of a set of parallel conductors

    • B. 

      The field of a single conductor

    • C. 

      The field in which all lines of magnetic flux are parallel and equidistant

    • D. 

      None of the above

  • 15. 
    Which of the following statements are correct? 
    • A. 

      The conductivity of ferrites is same as that of ferromagnetic materials

    • B. 

      The conductivity of ferromagnetic materials is better than ferrites

    • C. 

      The conductivity of ferrites is very high

    • D. 

      The conductivity of ferrites is better than ferromagnetic materials

  • 16. 
    If a copper disc is rotated rapidly below a freely suspended magnetic needle, the magnetic needle shall start rotating with a velocity
    • A. 

      Less than that of disc but in opposite direction

    • B. 

      Equal to that of disc and in the same direction

    • C. 

      Equal to that of disc and in the opposite direction

    • D. 

      Less than that of disc and in the same direction

  • 17. 
    The field strength at a point of finite distance from an infinitely long straight uniformly charged conductor is obtained by considering the radial (R) component and the longitudinal (L) component of the forces acting on a unit charge at the point, by the charges on the elemental length of the conductor. The resultant field strength is
    • A. 

      The sum of L-components, when the sum of R-components is zero

    • B. 

      The sum of R-components, when the sum of L-components is zero

    • C. 

      The sum of both R- and L-components

    • D. 

      Average of the sumes of R- and L-components

  • 18. 
    Which of the above statements are correct?Maxwell equations
    • A. 

      Are extension of the works of Gauss, Faraday and Ampere

    • B. 

      Help studying the application of electrostatic fields only

    • C. 

      Can be written in integral form and point form

    • D. 

      need not be modified depending upon the media involved in the problem

  • 19. 
    For electromechanical energy conversion, a magnetic field is employed as the medium rather than electric field ​because
    • A. 

      The electric field presents insultation problem

    • B. 

      The specific magnetic loss is more than the specific dielectric loss

    • C. 

      The stored energy density for practicable field strength is low in the electric field

    • D. 

      None of the above

  • 20. 
    For electrostatic fields in charge free atmosphere, which one of the following is correct?
    • A. 

      Option 1

    • B. 

      Option 2

    • C. 

      Option 3

    • D. 

      Option 4

  • 21. 
    Aluminum alloy has an FCC structure
    • A. 

      True

    • B. 

      False

  • 22. 
    Brittle materials typically fail fast and with excessive plastic deformation.
    • A. 

      True

    • B. 

      False

  • 23. 
    All are attributes of ceramics, except:
    • A. 

      Covalent bonded

    • B. 

      Low melting point

    • C. 

      High stiffness

    • D. 

      High hardness

  • 24. 
    Particles that most effects material properties
    • A. 

      Neutrons

    • B. 

      Protons

    • C. 

      Electrons

    • D. 

      Valence electrons

  • 25. 
     Coordination number in simple cubic crystal structure 
    • A. 

      1

    • B. 

      2

    • C. 

      3

    • D. 

      4

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