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MCQs

Total Questions : 47 | Page 3 of 5 pages
Question 21. Which of the following pairs of the given function F(t) and its Laplace transform f(s) is NOT
CORRECT?
  1.    F(t) = δ(t), f(s) = 1, (Singularity at +0)
  2.    F(t) = 1, f(s) = 1/s, (s>0)
  3.    F(t) = sin kt, f(s) = s/(s2+k2), (s>0)
  4.    F(t) = tekt, f(s) = 1/(s-k)2 (s > k, s > 0)
 Discuss Question
Answer: Option C. -> F(t) = sin kt, f(s) = s/(s2+k2), (s>0)


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Question 22. A voltage regulator has ripple rejection of -50 dB. If input ripple is 1 mV, what is the output ripple
voltage in μV? The answer should be up to two decimal places. __________
  1.    3.25
  2.    3.16
  3.    3.57
  4.    3.71
 Discuss Question
Answer: Option B. -> 3.16


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Question 23. The number of spectral lines allowed in the spectrum for the 3 2D → 3 2P transition in sodium is
____________.
  1.    1
  2.    2
  3.    3
  4.    4
 Discuss Question
Answer: Option C. -> 3


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Question 24. The number of distinct ways of placing four indistinguishable balls into five distinguishable boxes
is ____________.
  1.    30
  2.    40
  3.    50
  4.    70
 Discuss Question
Answer: Option D. -> 70


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Question 25. The relativistic form of Newton's second law of motion is
  1.    F = mc/√(c2 - v2) dv/dt
  2.    F = m√(c2 - v2)/c dv/dt
  3.    F = mc2/(c2 - v2) dv/dt
  4.    F = m (c2 - v2)/c2 dv/dt
 Discuss Question
Answer: Option C. -> F = mc2/(c2 - v2) dv/dt


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Question 26. A uniform circular disk of radius R and mass M is rotating with angular speed w about an axis, passing through its center and inclined at an angle 60 degrees with respect to its symmetry axis. The magnitude of the angular momentum of the disk is,
  1.    √3/4 wMR2
  2.    √3/8 wMR2
  3.    √7/8 wMR2
  4.    √7/4 wMR2
 Discuss Question
Answer: Option C. -> √7/8 wMR2


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Question 27. A charge distribution has the charge density given by ρ = Q{δ(x - x0) - δ(x + x0)}. For this
charge distribution the electric field at (2x0, 0,0)
  1.    2Qx/9πϵ0x02
  2.    Qx/4πϵ0x03
  3.    Qx/4πϵ0x02
  4.    Qx/16πϵ0x02
 Discuss Question
Answer: Option A. -> 2Qx/9πϵ0x02


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Question 28. In a normal Zeeman effect experiment, spectral splitting of the line at the wavelength 643.8 nm corresponding to the transition 5 1D2 → 5 1P1 of cadmium atoms is to be observed. The spectrometer has a resolution of 0.01 nm. The minimum magnetic field needed to observe this is (me = 9.1 * 10-31 kg, e = 1.6 * 10-19C, c = 3 * 108 m/s)
  1.    0.26 T
  2.    0.52 T
  3.    2.6 T
  4.    5.2 T
 Discuss Question
Answer: Option B. -> 0.52 T


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Question 29. f(x) is a symmetric periodic function of x i.e. f(x) = f(-x). Then, in general, the Fourier series of
the function f(x) will be of the form
  1.    .
  2.    .
  3.    .
  4.    .
 Discuss Question
Answer: Option B. -> .


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Question 30. In the most general case, which one of the following quantities is NOT a second order tensor?
  1.    Stress
  2.    Strain
  3.    Moment of inertia
  4.    Pressure
 Discuss Question
Answer: Option D. -> Pressure


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