GATE 1998 Electrical Engineering (EE) Question Paper with Answer Key PDF

GATE Questions

• 1.

  Let A and B be real symmetric matrices of same size. Which one of the following options is correct?

  • \( (AB)^T = B^T A^T \)
    
  • \( AB = BA \)
    
  • \( A^T = A^{-1} \)
    
  • \( A = A^{-1} \)
    
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• 2.

  A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm. The plate thickness is to be reduced to 27 mm in a single pass. Assume no change in width. The process feasibility and the maximum draft (in mm) can be represented, respectively, as
  Use the coefficient of friction as 0.12

  • NOT feasible and 6.0
    
  • NOT feasible and 2.6
    
  • feasible and 3.6
    
  • feasible and 3.0
    
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• 3.

  Two metal parts (a cylinder and a cube) of same volume are cast under identical conditions. The diameter of the cylinder is equal to its height. The ratio of the solidification time of the cube to that of the cylinder is _______________ (rounded off to 2 decimal places).
  Assume that solidification time follows Chvorinov's rule with an exponent of 2.
  

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• 4.

  A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?

  

  \[ {Given: } F = 1000\,{N} \]

  • \(BD\)
    
  • \(BC\)
    
  • \(BA\)
    
  • \(AD\)
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• 5.

  Consider two identical tanks with a bottom hole of diameter \( d \). One tank is filled with water and the other tank is filled with engine oil. The height of the fluid column \( h \) is the same in both cases. The fluid exit velocity in the two tanks are \( V_1 \) and \( V_2 \). Neglecting all losses, which one of the following options is correct?

  

  
   

  • \( V_2>V_1 \)
    
  • \( V_2 = V_1 \)
    
  • \( V_2<V_1 \)
    
  • Insufficient data to definitively conclude the relationship between \( V_1 \) and \( V_2 \)
    
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• 6.

  The welding process commonly used for fabricating tailor-welded blanks of dissimilar thickness for automotive applications is

  • arc welding
    
  • laser welding
    
  • gas welding
    
  • friction welding
    
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