OJEE 2016 Question Paper: Download Paper and Answer Key PDFs

OJEE 2016 Questions

• 1.

  In the system shown below, $x(t)=\sin(t)u(t)$. In steady-state, the response $y(t)$ will be 
  

  • $\dfrac{1}{\sqrt{2}}\sin(t-\pi/4)$
    
  • $\dfrac{1}{\sqrt{2}}\sin(t+\pi/4)$
    
  • $\dfrac{1}{\sqrt{2}}e^{-t}\sin(t)$
    
  • $\sin(t)-\cos(t)$
    
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• 2.

  The response of a network is $i(t) = K t e^{-\alpha t}$ for $t \ge 0$, where $\alpha$ is real and positive. The value of $t$ at which $i(t)$ will become maximum is,
  

  • $\alpha$
    
  • $2\alpha$
    
  • $1/\alpha$
    
  • $\alpha^2$
    
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• 3.

  The time constant of the network shown in the figure is 
  

  • $CR$
    
  • $2CR$
    
  • $CR/4$
    
  • $CR/2$
    
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• 4.

  The parallel RLC circuit shown in the figure is in resonance. In this circuit, 
  

  • $\lvert I_R \rvert<1 \text{ mA}$
    
  • $\lvert I_R + I_L \rvert>1 \text{ mA}$
    
  • $\lvert I_R + I_C \rvert<1 \text{ mA}$
    
  • $\lvert I_L + I_C \rvert>1 \text{ mA}$
    
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• 5.

  In the circuit shown in the figure, $V_s = V_m \sin 2t$ and $Z = 1 - j$. The value of $C$ is chosen such that the current $I$ is in phase with $V_s$. The value of $C$ in farad is, 
  

  • $1/4 \, \text{F}$
    
  • $1/2 \, \text{F}$
    
  • $1/8 \, \text{F}$
    
  • $1/6 \, \text{F}$
    
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