OJEE 2017 M.Tech Common Engineering Mathematics Question Paper with Answer Key PDFs (May 14)

OJEE Questions

• 1.

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

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

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• 2.

  Critical speed of a shaft depends upon its
  

  • mass
    
  • stiffness
    
  • mass and stiffness
    
  • stiffness and eccentricity
    
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• 3.

  What is the amount of ROM needed to implement a 4-bit multiplier?
  

  • 1 Kbits
    
  • 2 Kbits
    
  • 4 Kbits
    
  • 64 bits
    
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• 4.

  The time constant of the network shown in the figure is 
  

  • $CR$
    
  • $2CR$
    
  • $CR/4$
    
  • $CR/2$
    
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• 5.

  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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• 6.

  Determine $I_L$ by using Norton’s theorem. 
  

  • $5.5 \angle 22.45^\circ$ A
    
  • $6.5 \angle -22.45^\circ$ A
    
  • $8.94 \angle -26.56^\circ$ A
    
  • $7.5 \angle 26.56^\circ$ A
    
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