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.
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.
