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Mechanical Prop...

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  • Question 1
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    A metal rod of Young's modulus $$Y$$ and coefficient of thermal expansion $$\alpha$$ is held at its two ends such that its length remains invariant. If its temperature is raised by $${t}^{o}C$$, the linear stress developed in it is:

  • Question 2
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    For which material the poisson's ratio is greater than 1

  • Question 3
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    The maximum strain energy that can be stored in a body is known as:

  • Question 4
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    The proportional limit of steel is $$8\times { 10 }^{ 8 }N/{ m }^{ 2 }$$ and its Young's modulus is $$2\times { 10 }^{ 11 }N/{ m }^{ 2 }$$. The maximum elongation, a one metre long steel wire can be given without exceeding the proportional limit is 

  • Question 5
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    A rubber ball is taken to depth $$1$$ km inside water so that its volume reduces by $$0.05\% $$.What is the bulk modulus of the rubber:

  • Question 6
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    Select the correct alternative(s).

  • Question 7
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    Overall changes in volume and radii of a uniform cylindrical steel sire are $$0.2\%$$ and $$0.002\%$$ respectively when subjected to some suitable force. Longitudinal tensile stress acting on the wire is :-
    $$(Y=2.0\times 10^{11}\ NM^{-2})$$

  • Question 8
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    When the load on a wire is increasing slowly from $$2$$ kg to $$4$$ kg, the elongation increases from $$0.6$$ mm to $$1$$ mm. The work done during this extension of the wire is $$(g=10 m/s^2)$$.

  • Question 9
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    What is the percentage increase in length of a wire of diamater $$2.5\ mm$$, stretched by  a force of $$100\ Kg\ wt$$? Youngs modulus of elasticity of wire $$=1.25 \times {10}^{11}\ dyne/{cm}^{2}$$

  • Question 10
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    A steel wire has length 2.0  m, radius 1 mm and $$Y = 2 \times 10^{11} N/m^2$$ A sphere of mass 1 kg is attached at one end of the wire which is then whirled in a vertical circle with speed 2 rev/sec. Elongation of the wire when mass is at the lowest position. 

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