# Area and Volume Expansion

## Trending Questions

**Q.**The coefficient of volume expansion of glycerin is 49×10−5 ∘C−1. The fractional change in the density on a 30 ∘C rise in temperature is

- 1.47×10−2
- 1.47×10−3
- 1.47×10−1
- 1.47×10−4

**Q.**The region between two concentric spheres of radii 'a' and 'b', respectively (see figure), has volume charge density ρ=Ar, where A is a constant and r is the distance from the centre. At the centre of the spheres is a point charge Q. The value of A such that the electric field in the region between the spheres will be constant, is

- Q2πa2
- Q2π(b2−a2)
- 2Qπ(a2−b2)
- 2Qπa2

**Q.**Two spheres of same size are made of the same metal, but one is hollow and the other one is solid. They are heated to the same temperature, then

- Hollow sphere will expand more than the solid one.
- Solid sphere will expand more than the hollow one.
- Both the spheres will expand equally.
- None of these

**Q.**To raise the temperature of a certain mass of gas by 50 ∘C at a constant pressure, 160 calories of heat is required. When the same mass of gas is cooled by 100 ∘C at constant volume, 240 calories of heat is released. How many degrees of freedom does each molecule of this gas have (assume gas to be ideal)?

- 5
- 6
- 3
- 7

**Q.**The value of coefficient of volume expansion of glycerin is 5×10−4 ∘C−1. The fractional change in the density of glycerin for a rise of 40 ∘C in its temperature is

- 0.010
- 0.020
- 0.015
- 0.025

**Q.**The volume of a metal sphere increases by 0.15%, when its temperature is raised by 24∘C. The coefficient of linear expansion of metal is:

- 2.5×10−5/∘C
- 2.0×10−5/∘C
- −1.5×10−5/∘C
- 1.2×10−5/∘C

**Q.**

In a mercury thermometer, the level of mercury rises when its bulb comes in contact with a hot object. What is the reason for this rise in the level of mercury?

**Q.**On heating a uniform metallic cylinder, length increases by 3%. The area of cross - section of its base will increase by

- 1.5 %
- 3 %
- 9 %
- 6 %

**Q.**The coefficient of linear expansion of a crystal in one direction is α1 and that in every direction perpendicular to it is α2. Then, the coefficient of cubical expansion of the crystal is

- α1+α2
- 2α1+α2
- α1+2α2
- None of these

**Q.**The coefficient of linear expansion of a crystalline substance in one direction is 2×10−4/∘C and in every direction perpendicular to it is 3×10−4/∘C. The coefficient of cubical expansion of the crystal is equal to

- 5×10−4/∘C
- 4×10−4/∘C
- 8×10−4/∘C
- 7×10−4/∘C

**Q.**

A thin brass sheet at 10∘C and a thin steel sheet at 20∘C have same surface area. The common temperature at which both would have the same area is :

Coefficient of areal expension for brass and steel are 10×10−6∘C−1 and 20×10−6∘C−1 respectively.

- 10∘C
- 20∘C
- 30∘C
- 35∘C

**Q.**

The temperature of the sun is measured with

Vapour pressure thermometer

Platinum thermometer

Gas thermometer

Pyrometer

**Q.**Thermal coefficient of volume expansion at constant pressure for an ideal gas sample of n moles having pressure Po, volume Vo and temperature To is:

- RPoVo
- PoVoR
- 1To
- 1n To

**Q.**

A solid ball of metal has a concentric spherical cavity within it. If the ball is heated, the volume of the cavity will

Remain unaffected

None of these

Increase

Decrease

**Q.**An iron rod of length 50 cm is joined at an end to an aluminium rod of equal length to form a system. All measurements refer to 20∘C. If coefficient of linear expension of iron and aluminium are 12×10−6∘C and 24×10−6∘C respectively, find average coefficient of linear expension of composite system?

- 20×10−6∘C
- 24×10−6∘C
- 38×10−6∘C
- 36×10−6∘C

**Q.**A material P of thickness 1 mm is sandwiched between two steel slabs, as shown in the figure below. A heat flux 10 kW/m2 is supplied to one of the steel slabs as shown. The boundary temperatures of the slabs are indicated in the figure. Assume thermal conductivity of this steel as 10 W/mK. Considering one-dimensional steady state heat conduction for the configuration, the thermal conductivity k (in W/mK) of material P is

- 0.1 W/mK
- 0.2 W/mK
- 0.3 W/mK
- 0.4 W/mK

**Q.**When the temperature of a copper coin is raised by 80∘ C, its diameter increases by 0.2%.

Choose the correct statements.

- Percentage rise in the area of a face is 0.4%
- Percentage rise in the thickness is 0.4%
- Percentage rise in the volume is 0.6%
- Coefficient of linear expansion of copper is 0.25×10−4/∘C

**Q.**

The density of water at 0∘ C is 0.998 g cm−3 and at 4∘ C is 1.000 g cm−3. Calculate the average coefficient of volume expansion of water in the temperature range 0 to 4C.

**Q.**The density of ice is x gm/cm3 and that of water is y gm/cm3. When m gram of ice melts, then the change in volume is

- m(y−x)
- (y−x)/m
- my(x−y)
- (m/y)−(m/x)

**Q.**3 moles of an ideal gas are contained within a cylinder with a frictionless piston and are initially at temperature T. The pressure of the gas remains constant, while its volume gets doubled. If R is the molar gas constant, the work done by the gas in this process is

- 3RTln2
- 32RTln2
- 32RT
- 3RT

**Q.**A piece of metal weighs 46 gm in air. When it is immersed in a liquid of specific gravity 1.24 at 27 ∘C, it weighs 30 gm. If the temperature of the liquid is raised to 42 ∘C, the metal piece weighs 30.5 gm. If specific gravity of the liquid at 42 ∘C is 1.20, then the linear expansion of the metal will be

- 3.316×10−5/∘C
- 2.316×10−5/∘C
- 4.316×10−5/∘C
- None of these

**Q.**

Why are ventilators provided in our houses?

**Q.**A rectangular block is heated from 0∘C to 100∘C. The percentage increase in its length is 0.10 %. What will be the percentage increase in its volume?

- 0.03 %
- 0.30 %
- 0.10 %
- 0.5 %

**Q.**An aluminium sphere of 20 cm diameter is heated from 0∘C to 100∘C. Its volume changes by (given that coefficient of linear expansion for aluminium αAl=23×10−6/∘C

- 28.9 cc
- 2.89 cc
- 9.28 cc
- 49.8 cc

**Q.**The coefficient of volume expansion of a liquid is 5×10−4 ∘C−1. If its temperature is increased by 30∘C, the percentage change in its density is

**Q.**The bulk modulus of copper is 1.4×1011 Pa and the coefficient of linear expansion is 1.7×10−5(∘C)−1. What hydrostatic pressure is necessary to prevent a copper block from expanding when its temperature is increased from 20∘C to 30∘C ?

- 5.2×106 Pa
- 7.1×107 Pa
- 40 atm
- 6.0×105 Pa

**Q.**Two different masses m and 3m of an ideal gas are heated separately in a vessel of constant volume, the pressure P and absolute temperature T, graphs for these two cases are shown in the figure as A and B. The ratio of slopes of curves B to A is -

- 3:1
- 1:3
- 9:1
- 1:9

**Q.**

The densities of wood and benzene at 0∘ C are 880 kg m3 and 900 kg m−3 respectively. The coefficients of volume expansion are 1.2×10−3 ∘ C−1 for wood and 1.5×10−3 ∘ C for benzene. At what temperature will a piece of wood just sink in benzene ?

**Q.**Prove that the relationship between the coefficients of linear, areal and volume expansion is 1:2:3

**Q.**

The volume of a glass vessel is 1000 cc at 20∘ C. What volume of mercury should be poured into it at this temperature so that the volume of the remaining space does not change with temperature ? Coefficients of cubical expansion of mercury and glass are 1.8×10−4 ∘C−1 and 9.0×10−6 ∘C−1 respectively.