Anomalous Expansion of Water

Q.

Water has maximum density at __.

1. 0 degree celsius

2. 32 degree celsius

3. -4 degree celsius

4. 4 degree celsius

Q. If in winter season, the surface temperature of a lake is $1{}^{\circ }\text{C}$, the temperature at the bottom of the lake can be

1. $1{}^{\circ }\text{C}$
2. $0{}^{\circ }\text{C}$
3. $4{}^{\circ }\text{C}$
4. All values less than $1{}^{\circ }\text{C}$ are possible

Q. If in winter season, the surface temperature of a lake is $1{}^{\circ }\text{C}$, the temperature at the bottom of the lake can be

1. $1{}^{\circ }\text{C}$
2. $0{}^{\circ }\text{C}$
3. $4{}^{\circ }\text{C}$
4. All values less than $1{}^{\circ }\text{C}$ are possible

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. $\gamma =2\alpha$

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. $\gamma =2\alpha$

Q.

We plot the density of water as we heat a sample of ice till it melts, and keep increasing the temperature. Which of these statements is/are incorrect?

1. It is possible for 1 kg of liquid water to occupy the same volume at two different temperatures.

2. A glass of water is heaviest when the water is at $4^{\circ }C$.

3. As you heat water from $1^{\circ }C$ to ${10}^{\circ }C$, in a ceramic beaker, assuming the beaker does not expand, the water level will be the lowest at $4^{\circ }C$.

4. The temperature at the bottom of a lake in Russia, which is frozen at the surface, will be the same in the case of a similar lake in Canada.

Q.
At point D ($273.16K,0.006atm$) all there phases of water coexist. Observed phase change when the temperature is increased from$-10{}^{0}Cto+10{}^{0}C,$ at a constant pressure of 0.006 atm is.

1. Solid → Liquid
2. Liquid → Gas
3. Solid → Gas
4. Gas → Liquid

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