Anomalous Expansion of Water

Q. 73. Why is the relative density is with repect to water at 4 degree Celsius only? Why does the water shows anormal behaviour at that temperature?

Q. A small spherical object, of relative density equal to 0.5, falls from rest from a height h, upon the surface of water in a pond. The period of oscillation of the object, is

Q. A large cylindrical tank has a hole of area A at its bottom. Water is poured in the tank by a tube of equal cross-sectional area A ejecting water at the speed v.
(a) The water level in the tank will keep on rising
(b) No water can be stored in the tank
(c) The water level will rise to a height v²/2g and then stop
(d) The water level will oscillate

Q. If y is the instantaneous thickness of ice formed on the surface of a lake in winter than the rate of formation of ice is directly proportional to 1 ) y 2) y^2 3) 1/y 4) 1/y^2

Q. Read the given statements and select the correct option. Statement 1 : If one litre of water at 40C is mixed with one litre of water at 50C, the final temperature of the mixture will be between 40C and 50C. Statement 2 : The temperature of mixture of two liquids does not depend on their masses. A. Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1. Both statements 1 and 2 are true, but statement 2 is not the correct explanation of statement 1. tement 1 is true but statement 2 is false. D. Statement is-false but statement 2 is true.

Q. The temperature of water at the surface of a deep lake is $2^{\circ }\text{C}$. The temperature expected at the bottom is _____.

1. $0^{\circ }\text{C}$
2. $2^{\circ }\text{C}$
3. $4^{\circ }\text{C}$
4. $6^{\circ }\text{C}$

Q.

Maximum density of H2O is at the temperature

1. ${32}^{\circ }F$

2. ${39.2}^{\circ }F$

3. ${42}^{\circ }F$

4. $4^{\circ }F$

Q. Explain why a beaker filled with water at 4°C overflows if temperature is decreased or increased.

Q.

A vessel is partly filled with a liquid. Coefficients of cubical expansion of material of the vessel and liquid are ${\gamma }_v$ and ${\gamma }_L$respectively. If the system is heated, then the volume unoccupied by the percentage of liquid will necessarily :

1. remain unchanged if ${\gamma }_V={\gamma }_L$
2. increase if ${\gamma }_V={\gamma }_L$
3. decrease if ${\gamma }_V={\gamma }_L$
4. none of the above

Q. The temperature of water at the surface of a deep lake is $2^{\circ }\text{C}$. The temperature expected at the bottom is _____.

1. $0^{\circ }\text{C}$
2. $2^{\circ }\text{C}$
3. $4^{\circ }\text{C}$
4. $6^{\circ }\text{C}$

Q. A beaker is completely filled with water at $4^o\text{C}.$ It will overflow if

1. Heated above $4^{\circ }\text{C}$
2. Cooled below $4^{\circ }\text{C}$
3. Both heated and cooled above and below $4^{\circ }\text{C},$ respectively
4. None of these

Q. A solid cube is first floating in a liquid. The coefficient of linear expansion of the cube is $\alpha$ and the coefficient of volume expansion of the liquid is $\gamma$. On increasing the temperature of the (liquid + cube) system, the cube will sink if

1. $\gamma =3\alpha$
2. $\gamma >3\alpha$
3. $\gamma <3\alpha$
4. $\gamma =2\alpha$