61. Fourier Series for the waveform, f(t) shown in the given figure is
    

1. 1. 8	[sin (πt) +	1	sin (3πt) +	1	sin (5πt) + .....]
      π²		9		25

   
   
   

   2. 8	[sin (πt) -	1	sin (3πt) +	1	sin (5πt) + .....]
      π²		9		25

   
   
   

   3. 8	[cos (πt) +	1	cos (3πt) +	1	cos (5πt) + .....]
      π²		9		25

   
   
   

   4. 8	[cos (πt) -	1	cos (3πt) +	1	cos (5πt) + .....]
      π²		9		25

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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62. The rms value of the periodic waveform e(t), shown in the figure is
    

1. 1. √	3	A
      	2

   
   
   

   2. √	2	A
      	3

   
   
   

   3. √	1	A
      	3

   
   
   

   4. √2 A

   
   
   

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1. View Hint View Answer Discuss in Forum

   

   Correct Option: B

   

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63. Convolution of x(t + 5) with impulse function δ(t – 7) is equal to

1. 1. x(t – 12)

   
   
   

   2. x(t + 12)

   
   
   

   3. x(t – 2)

   
   
   

   4. x(t + 2)

   
   
   

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1. View Hint View Answer Discuss in Forum

   As,       g(t)* δ(t – t₀) = g(t₀)
   Then,       x(t + 5) * δ (t – 7) = x(t – 2)

   Correct Option: C

   As,       g(t)* δ(t – t₀) = g(t₀)
   Then,       x(t + 5) * δ (t – 7) = x(t – 2)

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64. The voltage across an impedance in a network is
    V(s) = Z(s) I(s),
    where V(s), Z(s) are the Laplace Transforms of the corresponding time function
    v(t), z(t) and i(t)
    The voltage v(t) is

1. 1. v(t) = z(t) · v(t)

   
   
   

   2. 

   
   
   

   3. 

   
   
   

   4. v(t) = z(t) + i(t)

   
   
   

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1. View Hint View Answer Discuss in Forum

   Multiplication in frequency domain corresponds to convolution in time domain
   

   Correct Option: B

   Multiplication in frequency domain corresponds to convolution in time domain
   

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65. The Laplace transform X(s) of a function x (t) is
    

    X(s) =		1 - e-sT
    		s

    
    What is the wave shape of x(t)?

1. 1. 

   
   
   

   2. 

   
   
   

   3. 

   
   
   

   4. 

   
   
   

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1. View Hint View Answer Discuss in Forum

   L[ƒ(t)] = F(s)
   then L[ƒ(t – T)]= e^sT F(s).
   Apply time shifting property of Laplace transform.

   Correct Option: C

   L[ƒ(t)] = F(s)
   then L[ƒ(t – T)]= e^sT F(s).
   Apply time shifting property of Laplace transform.

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