Anomalous Expansion of Water

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.

At what temperature is the density of water maximum?

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

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

Q.

Maximum density of H2O is at the temperature

1. 32°F

2. 39.2°F

3. 42°F

4. 4°F

Q. A piece of wood floats in water kept in a beaker. If the beaker moves with a vertical acceleration $a$, the wood will

1. come out more from the liquid if $a$ is downward, with $a<g$.
2. remain in the same position relative to the water.
3. sink deeper in the liquid if $a$ is upward.
4. sink deeper in the liquid if $a$ is downward, with $a<g$.

Q. The temperature of water at the surface of a deep lake is $2^{\circ }C$. The temperature expected at the bottom is.(Lake is deep enough)

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

Q. Liquids generally have lower density as compared to solids but ice floats on water. Why?

Q. Sides of a cube is made from $6$ identical sheets. If co-efficient of linear expansion of sheet is $\alpha$ and temperature is changed by $\Delta T$. Find the change in volume if side length of the cube is $a$.

1. $a^3\alpha \Delta T$
2. $2a^3\alpha \Delta T$
3. $4a^3\alpha \Delta T$
4. $3a^3\alpha \Delta T$

Q.

Water contracts on heating from 0^°C to 4^°C.

1. True
2. False

Q. What is meant by Anomalous expansion of water?

Q.

Water contracts on heating between the temperatures

Q.

Equal mass of three liquids are kept in three identical cylindrical vessels A, B and C. The densities are P_A<P_B<P_C. The force on the base will be

1. maximum in vessel A

2. maximum in vessel B

3. maximum in vessel C

4. equal in all the vessels

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.
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.

Water has maximum density at __.

1. 0°C

2. 32°F

3. 4°C

4. - 4°C

Q. Two rods, one of length $L$ and the other of length $2L$ are made of the same material and have the same diameter. The two ends of the longer rod are maintained at ${100}^{\circ }C.$ One end of the shorter rod is maintained at ${100}^{\circ }C$ while the other end is insulated. Both the rods are exposed to the same environment at ${40}^{\circ }C.$ The temp at the insulated end of the shorter rod is measured to be ${55}^{\circ }C.$ The temp at the midpoint of the longer rod would be.

1. 
   ${40}^{\circ }C.$
2. 
   ${50}^{\circ }C$
3. 
   ${55}^{\circ }C$
4. 
   ${100}^{\circ }C$

Q. In a cyclic thermodynamic process, an ideal gas is first compressed at constant volume while its internal energy is increased by $350J$. Then it expands adiabatically until it returns to its original pressure. Finally, the gas is returned isobarically to its original state when $60.0J$ of work is performed on the gas while its internal energy decreases by $200J$. If the change in internal energy (in 𝑆𝐼 𝑢𝑛𝑖𝑡) during the adiabatic expansion is $X$, then find the value of $(X+500)$.Assume the gas is ideal with $C_P=\frac{20.8J}{mol-K}$ and $C_v=\frac{12.5J}{mol-K}$.

Q. A rod is heated from $0^{\circ }\text{C}$ to ${10}^{\circ }\text{C}$ and its length is changed by $0.02\%$. By what percent does the mass density change?

1. $0.02\%$
2. $0.04\%$
3. $0.06\%$
4. $0.08\%$

Q. The temperature of water at the surface of a deep lake is 2°C. The temperature expected at the bottom is
(a) 0 °C
(b) 2 °C
(c) 4 °C
(d) 6 °C

Q.

Solids are fairly compressible.

1. True
2. False

Q. A piece of ice is floating in a jar containing water. When the ice melts, then the level of water :

1. Rises
2. Falls
3. Remains unchanged
4. Rises of Falls depending upon the mass of ice

Q. $1kg\text{ice at}-{20}^{\circ }C\text{is mixed with}1kg\text{steam at}{200}^{\circ }C$. The equilibrium temperature and mixture content will be

1. ${110}^{\circ }C\text{and mixture content}2kg\text{steam}$.
2. ${80}^{\circ }C\text{and mixture content}2kg\text{water}$.
3. ${100}^{\circ }C\text{and mixture content}\frac{10}{17}kg\text{steam and}\frac{24}{17}kg\text{water}$.
4. ${100}^{\circ }C\text{and mixture content}\frac{20}{27}kg\text{steam and}\frac{34}{27}kg\text{water}$.

Q.

Match the statements of Column A with those of Column B.

Column A	Column B
(A) Thrust	(p) Pascal
(B) Relative density	(q) Newton
(C) Pressure	(r) ${\mathrm{kgm}}^{-3}$
(D) Density	(s) no unit

1. A --→ s; B--→ q; C--→p; D-→r

2. A -→r; B-→ q; C-→p; D-→r

3. A -→q; B-→r; C-→p; D-→s

4. A-→q; B-→s; C-→p; D-→r

Q.

1. Water can occur in three different forms. Which one of these is the heaviest form of water?

Q. Explain anomalous expansion of water and draw graph of density of water v/s temperature.

Q. Certain quantity of water cools from ${70}^{o}C$ to ${60}^{o}C$ in the first $5$ minutes and to ${54}^{o}C$ in the next $5$ minutes. The temperature of the surroundings is ;

1. ${45}^{o}C$
2. ${20}^{o}C$
3. ${42}^{o}C$
4. ${10}^{o}C$

Q.

How does the volume and density of water change with a change in temperature?

Q.

Liquids generally have lower density than that of a solid but ice floats in water. Explain the reason.

Q. Density of water is maximum at

1. $0$
2. $4$
3. $4K$
4. $100$