Question:
The compressibility of water is
$ 6\times {{10}^{-10}}{{N}^{-1}}{{m}^{2}} $ .
If one litre is subjected to a pressure of $ 4\times {{10}^{7}}N{{m}^{-2}}, $ the decrease in its volume is
The compressibility of water is
$ 6\times {{10}^{-10}}{{N}^{-1}}{{m}^{2}} $ .
If one litre is subjected to a pressure of $ 4\times {{10}^{7}}N{{m}^{-2}}, $ the decrease in its volume is
Updated On: Apr 5, 2024
- 2.4 cc
- 10 cc
- 24 cc
- 15 cc
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The Correct Option is C
Solution and Explanation
$ B=\frac{1}{compressibility}=\frac{pV}{dV} $
$ \frac{1}{6\times {{10}^{-10}}}=\frac{4\times {{10}^{7}}\times 1}{dV} $
$ dV=24\times {{10}^{-3}}litre $
$ =24\text{ }cc $
$ \frac{1}{6\times {{10}^{-10}}}=\frac{4\times {{10}^{7}}\times 1}{dV} $
$ dV=24\times {{10}^{-3}}litre $
$ =24\text{ }cc $
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Concepts Used:
Pressure
Pressure is defined as the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Everyday examples of pressure are:
- The working of the vacuum cleaner is an example of pressure. The fan inside the vacuum creates a low-pressure region which makes it easy to suck the dust particles inside the vacuum.
- Using a knife for cutting is another example of pressure. The area exposed from the knife is small but the pressure is high enough to cut the vegetables and fruits.
Formula:
When a force of ‘F’ Newton is applied perpendicularly to a surface area ‘A’, then the pressure exerted on the surface by the force is equal to the ratio of F to A. The formula for pressure (P) is:
P = F / A
Units of Pressure:
The SI unit of pressure is the pascal (Pa)
A pascal can be defined as a force of one newton applied over a surface area of a one-meter square.