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14. Some Mechanical Properties of Matter
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Q13 of 39 Page 300

Find the increase in pressure required to decrease the volume of a water sample by 0.01%. Bulk modulus of water = 2.1 × 109 N m-2.

2.1 × 106 N m-2

Given, the bulk modulus of water,


Let the initial volume be and V’ be the final volume.


Change in volume,


We know, the pressure,


Therefore,


Given,



Assuming



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11

A steel wire of original length 1 m and cross-sectional area 4.00 mm2 is clomped at the two ends so that it lies horizontally and without tension. If n load of 2.16 kg is upending from (he middle point of the wire, what would be its vertical depression? Y of the steel = 2.0 × 1011 N m-2. Take
g 10 m s-2.

12

A topper wire of cross-sectional area 0.01 cm is under tension of 20 N. Find the decrease in the cross-sectional area Young modulus of copper = 1.1 × 1011 N m-2 and Poisson ratio = 0.32.


14

Estimate the change in the density of water in ocean at a depth of 400 m below the surface. The density of water at the surface 1030 kg m-3 and the bulk modulus of water = 2 × 109 N m-2.

15

A steel plate of face area 4 cm2 and thickness 0.5 cm is fixed rigidly at the lower surface. A tangential force of 10 N is applied on the upper surface. Find the lateral displacement of the upper surface with respect to the lower surface. Rigidity modulus of steel = 8.4 × 1010 N m-2.

Questions · 39
14. Some Mechanical Properties of Matter
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