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A fine steel wire of length 4m is fixed rigidly in a heavy brass frame as shown in figure. It is just taut at 20 to the power of ring operator end exponent C. The tensile stress developed in steel wire if whole system is heated to 120 to the power of ring operator end exponent C is :–
text (Given  end text open alpha subscript text lras  end text end subscript equals 1.8 cross times 10 to the power of negative 5 end exponent degree C to the power of negative 1 end exponent comma alpha subscript text sleel  end text end subscript equals 1.2 cross times 10 to the power of negative 5 end exponent blank to the power of ring operator end exponent C to the power of negative 1 end exponent comma Y subscript text steel  end text end subscript equals 2 cross times 10 to the power of 11 end exponent N m to the power of negative 2 end exponent comma Y subscript text bas  end text end subscript equals 1.7 cross times 10 to the power of 7 end exponent N m to the power of negative 2 end exponent close parentheses

  1. 1.02 cross times 10 to the power of 4 end exponent N m to the power of negative 2 end exponent    
  2. 1.2 cross times 10 to the power of 8 end exponent N m to the power of negative 2 end exponent    
  3. 1.2 cross times 10 to the power of 6 end exponent N m to the power of negative 2 end exponent    
  4. 6 cross times 10 to the power of 8 end exponent N m to the power of negative 2 end exponent    

The correct answer is: 1.2 cross times 10 to the power of 8 end exponent N m to the power of negative 2 end exponent


    Stress = Y (strain) =Y subscript 5 end subscript open parentheses alpha subscript b end subscript minus alpha close parentheses capital delta T equals open parentheses 2 cross times 10 to the power of 11 end exponent close parentheses open parentheses 0.6 cross times 10 to the power of negative 5 end exponent close parentheses open parentheses 100 close parentheses equals 1.2 cross times 10 to the power of 8 end exponent N m to the power of negative 2 end exponent

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    Given cross-section area of jet equals 2 cross times 10 to the power of negative 4 end exponent text end text m to the power of 2 end exponent velocity of jet V subscript 0 end subscript equals 10 text end text m divided by s e c., density of liquid equals 1000 text end text k g divided by m subscript blank superscript 3 end superscript comma M a s s of cart equals M equals 10 text end text k g.The power supplied to the cart, when its velocity becomes 5 m/sec., is equal to :

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