Compressibility

Q. The approximate depth of an ocean is $3500\text{m}$. The compressibility of water is $50\times {10}^{-11}{\text{Pa}}^{-1}$ and density of water is ${10}^3{\text{kg/m}}^3$. Find the fractional compression of water that will be obtained at the bottom of the ocean. (Take $g=10{\text{m/s}}^2$)

1. $5.25\times {10}^{-2}$
2. $10.5\times {10}^{-2}$
3. $1.75\times {10}^{-2}$
4. $2.625\times {10}^{-2}$

Q. The initial volume of water is $2000{\text{cm}}^3$. Determine the change in volume of the water when external pressure is changed from ${10}^5{\text{Nm}}^{-2}$ to ${10}^6{\text{Nm}}^{-2}$.
[Take compressibility of water as $60\times {10}^{-11}{\text{m}}^2/\text{N}$]

1. $2.08\times {10}^{-5}{\text{m}}^3$
2. $1.08\times {10}^{-6}{\text{m}}^3$
3. $2.08\times {10}^{-6}{\text{m}}^3$
4. $1.08\times {10}^{-5}{\text{m}}^3$

Q. The initial volume of water is $2000{\text{cm}}^3$. Determine the change in volume of the water when external pressure is changed from ${10}^5{\text{Nm}}^{-2}$ to ${10}^6{\text{Nm}}^{-2}$.
[Take compressibility of water as $60\times {10}^{-11}{\text{m}}^2/\text{N}$]

1. $2.08\times {10}^{-5}{\text{m}}^3$
2. $1.08\times {10}^{-6}{\text{m}}^3$
3. $2.08\times {10}^{-6}{\text{m}}^3$
4. $1.08\times {10}^{-5}{\text{m}}^3$

Q. The compressibility of water is $4\times {10}^{-5}$per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be

1. 0.4 cc
2. $4\times {10}^{-5}$cc
3. 0.025 cc
4. 0.004 cc

Q.

Find the decrease in the volume of a sample of water from the following data. Initial volume = 1000 cm³, initial pressure = 10⁵ N m^-2, final pressure = 10⁶ N m^-2, compressibility of water = 50 x 10^-11 m² N^-1.

1. 0.90 c$m^4$

2. 0.45 $c{m}^3$

3. 0.25 $c{m}^3$

4. 0.50 $c{m}^3$

Q. For a constant external pressure and volume, more is the compressibility, .

1. more is the deformation
2. less is the deformation
3. deformation remains unaffected

Q. The compressibility of water is $4\times {10}^{-5}$per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be

1. 0.4 cc
2. $4\times {10}^{-5}$cc
3. 0.025 cc
4. 0.004 cc

Q. The approximate depth of an ocean is $3500\text{m}$. The compressibility of water is $50\times {10}^{-11}{\text{Pa}}^{-1}$ and density of water is ${10}^3{\text{kg/m}}^3$. Find the fractional compression of water that will be obtained at the bottom of the ocean. (Take $g=10{\text{m/s}}^2$)

1. $5.25\times {10}^{-2}$
2. $10.5\times {10}^{-2}$
3. $1.75\times {10}^{-2}$
4. $2.625\times {10}^{-2}$