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Mechanical Prop...

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  • Question 1
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    A ball falling in a lake to a depth $$200m$$ shows a decrease of $$0.1$$% in its volume at the bottom. the bulk modulus of the ball is

  • Question 2
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    The Poisson's ratio of a material is 0.4. If a force is applied to a wire of this material, there is a decrease of cross-sectional area by 2%. The percentage increase in its length is :  

  • Question 3
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    A stress $$10^{7}$$ Pa produces a strain of 4 x 10$$^{-3}$$. The energy stored per unit volume of the body (in J.m$$^{-3}$$) is

  • Question 4
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    On taking a solid rubber ball from the surface to the bottom of a lake 200m deep, the reduction in volume is found to be 0.5%. If the density of water is 10$$^{3}$$ kgm$$^{-3}$$ and g$$=$$10 ms$$^{-2}$$, find the bulk modulus of rubber.

  • Question 5
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    A rubber cord of length $$40cm$$ and area of cross section 4 x 10$$^{-6}$$ m$$^{2}$$ is extended by 10cm. If the energy gained is $$20 joule$$, young's modulus of rubber is

  • Question 6
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    A steel wire of mass $$3.16 Kg$$ is stretched to a tensile strain of 1 x 10$$^{-3}$$. What is the elastic deformation energy if density $$\rho  =7.9 g/cc$$ and Y$$=$$2x10$$^{11}$$ N/m$$^{2}$$?

  • Question 7
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    If the work done in stretching a wire by 1mm is 2 J, the work necessary for stretching another wire of same material but with double radius of cross section and half the length by 1mm is : (in joules)             

  • Question 8
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    When a wire of length 10m is subjected to a force of $$100 N$$ along its length , the lateral strain produced is $$0.01$$ x $$10$$$$^{-3}$$. The Poisson's ratio was found to be $$0.4$$. If the area of cross-section of wire is $$0.025m$$$$^{2}$$ , its Young's modulus is :         

  • Question 9
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    The increase in length of a wire on stretching is $$0.025$$%. If its Poisson's ratio is $$0.4$$, then the percentage decrease in the diameter is :  

  • Question 10
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    When a wire is subjected to a force along its length, its length increases by $$0.4$$% and its radius decreases by $$0.2$$ %. Then the Poisons ratio of the material of the wire is

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