WBJEE 2015 Mathematics Question Paper with Answer Key PDF (May-06, Forenoon Session)

WBJEE Questions

• 1.

  For an ideal gas, a cyclic process ABCA as shown in the P–T diagram. When represented in P–V plot, it would be 
  

  • Option a
    
  • Option b
    
  • Option c
    
  • Option d
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• 2.

  Manufacturers supply a zener diode with zener voltage \( V_z=5.6\,\text{V} \) and maximum power dissipation \( P_{\max}=\frac14\,\text{W} \). This zener diode is used in the circuit shown. Calculate the minimum value of the resistance \( R_s \) so that the zener diode will not burn when the input voltage is \( V_{in}=10\,\text{V} \). 
  

  • \( 98.56\,\Omega \)
    
  • \( 170.52\,\Omega \)
    
  • \( 306.21\,\Omega \)
    
  • \( 412.37\,\Omega \)
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• 3.

  What are the charges stored in the \( 1\,\mu\text{F} \) and \( 2\,\mu\text{F} \) capacitors in the circuit once current becomes steady? 
  

  • \( 8\,\mu C \) and \( 4\,\mu C \)
    
  • \( 4\,\mu C \) and \( 8\,\mu C \)
    
  • \( 3\,\mu C \) and \( 6\,\mu C \)
    
  • \( 6\,\mu C \) and \( 3\,\mu C \)
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• 4.

  Which logic gate is represented by the following combinations of logic gates?
  

  • NAND
    
  • AND
    
  • NOR
    
  • OR
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• 5.

  A diode is connected in parallel with a resistance as shown in the figure. The most probable current (I)–voltage (V) characteristic is 
  

  • Option a
    
  • Option b
    
  • Option c
    
  • Option d
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• 6.

  The velocity-time graph for a body of mass \( 10\,\text{kg} \) is shown. Work done on the body in the first two seconds of motion is 
  

  • \( -9300\,\text{J} \)
    
  • \( 12000\,\text{J} \)
    
  • \( -4500\,\text{J} \)
    
  • \( -12000\,\text{J} \)
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