1. A periodic triangular wave is shown in the figure. Its Fourier components will consist only of
   

1. 1. all cosine terms

   
   
   

   2. all sine terms

   
   
   

   3. odd cosine terms

   
   
   

   4. odd sine terms

   
   
   

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1. View Hint View Answer Discuss in Forum

   Only sine functions, as it has the odd symmetry.

   Correct Option: B

   Only sine functions, as it has the odd symmetry.

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2. The Fourier series representation of a periodic current is
   [2 + 6 √2 cos ωt + √48sin 2ωt]A.
   The effective value of the current is

1. 1. (2 + 6 + √24)A

   
   
   

   2. 8A

   
   
   

   3. 6A

   
   
   

   4. 2A

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: B

   NA

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3. The period of the function cos π/4 (t– 1) is

1. 1. 1	s
      8

   
   
   

   2. 8 s

   
   
   

   3. 4 s

   
   
   

   4. 1	s
      4

   
   
   

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1. View Hint View Answer Discuss in Forum

   2π	=	π	,
   T		4

   
   ⇒ T = 8 sec

   Correct Option: B

   2π	=	π	,
   T		4

   
   ⇒ T = 8 sec

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4. A linear system has the transfer functi on
   

   H(jω) =	1
   	(jω + 1)

   
   When it is subjected to an input white noise process with a constant spectral density A, the spectral density of the output will be

1. 1. A
      (jω + 1)

   
   
   

   2. A
      (jω + 1)²

   
   
   

   3. A
      (ω² + 1)

   
   
   

   4. A
      √(ω² + 1)

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: B

   NA

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5. The aver age value of t he del ayed full-wave rectified sine wave as shown in the given figure, is
   

1. 1. Y_m/π

   
   
   

   2. 2Y_m/π

   
   
   

   3. 3Y_m/2π

   
   
   

   4. Y_m/2π

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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