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Mechanical Prop...

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  • Question 1
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    The bulk modulus of water is $$2.1 \times 10^9 N/m^2$$. The pressure required to increase the density of water by $$0.1$$% is:-

  • Question 2
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    A plank of mass $$M$$ is suspended horizontally by using two wires as shown in the figure.They have same length $$(L)$$ and same cross sectional area $$(A)$$. Their Young's modulus are $$Y_1$$ and $$Y_2$$ respectively. The elastic potential energy of the system will be

  • Question 3
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    The compressibility of water is $$ 5 \times 10^{-10}m^2/N$$ and subjected to a pressure of 15 MPa.The fractional decrease in volume will be 

  • Question 4
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    A copper wire is having length $$2m$$ and area of cross -section $$2mm^2$$. Then amount of work done (in joule ) in increasing its length by $$0.1mm$$ will be (Young's modulus o elasticity for copper $$Y=1.2\times 10^{11}Nm^{-2}$$ 

  • Question 5
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    If the temperature of a wire of length $$2m$$ area of cross-section $$1{cm}^2$$ is increased from $${0^ \circ}C$$ to $${80^ \circ}C$$ and is not allowed to increase in length, then force required for it is {$$Y = 10^{10}N/m^2, \alpha = 10^{ - 6}/^oC$$}

  • Question 6
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    A mild steel wire of length $$2L$$ and cross-sectional area $$A$$ is stretched, well within elastic limit, horizontally between two pillars. A mass $$m$$ is suspended from the mind point of the wire. Strain in the wire is

  • Question 7
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    A hydraulic press contains 250 litres of oil. Find the decrease in volume of the oil when its pressure increase to $$10^7 Pa$$. The bulk modulus of the oil is $$K=5 \times 10^9 Pa$$.

  • Question 8
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    One end of uniform wire of length L and of weight W is attached  rigidly to a point in the roof and a weight  $$ W_1  $$ is suspended from its lower end. If s is the area of cross section of the wire, the stress in the wire at a height $$\dfrac{L}{4}$$ from its lower end is -

  • Question 9
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    When a metal wire is stretched by a load, the fractional change in its volume $$\Delta V/V$$ is proportional to?

  • Question 10
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    A cubical ball is taken to a depth of $$200m$$ in a sea. The decrease in volume observed to be $$0.1\%$$. The bulk modulus of the ball is ($$10={ ms }^{ -2 }$$)

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