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• Let #G(x)=int_x^{-2}cos(t^2)dt#. Then what is G'(x) ?
  
• What is the value of #1/n sum_{k=1}^n e^{k/n}# ?
  
• What is the moment of force about point O? (Refer to the image below)
  
• Three long current-carrying wires are perpendicular to the xy-plane passing through the points (x,y)= (0,-1 cm), (0, +1 cm) and (+1 cm,0) respectively. If each wire carries a current I=2 A in the +z-direction, what is the magnetic field at the origin?
  
• One of the strings of a guitar has a fundamental frequency of 440 Hz and another has a fundamental frequency of 660 Hz. Which of the following set of frequencies could be produced on both of these strings?