H C VERMA Solutions for Class 12-science Physics Chapter 1 - Heat and Temperature

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Chapter 1 - Heat and Temperature Exercise 12

Question 1

The steam point and the ice point of a mercury thermometer are marked as 80° and 20°. What will be the temperature in centigrade mercury scale when this thermometer reads 32°?

Solution 1

For any scale

F.P.=Freezing point

B.P.=Boiling point

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

C=20°centigrade 

Question 2

 A constant volume thermometer registers a pressure of 1.500×H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature Pa at the triple point of water and a pressure of 2.050×H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature Pa at the normal boiling point. What is the temperature at the normal boiling point?

Solution 2

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature=1.5×H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature Pa

P=2.05×H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature Pa

Using

T= H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

T=373.3 K 

Question 3

 A gas thermometer measure the temperature from the variation of pressure of a sample of gas. If the pressured measured at the melting point of lead is 2.20 times the pressure measured at the triple point of water, find the melting point of lead?

Solution 3

Pressure measured at melting point=2.2×pressure at triple point

P=2.2 H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Using,

T=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

T=601 K 

Question 4

The pressure measured by a constant volume gas thermometer is 40kPa at the triple point of water. What will be the pressure measured at the boiling point of water (100°C)?

Solution 4

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature=40×H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature Pa; T=273+100=373 K

Using,

T=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

P=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

P=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

P=55 kPa 

Question 5

The pressure of the gas in a constant volume gas thermometer is 70 kPa at the ice point. Find the pressure at the steam point.

Solution 5

T=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

TP

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature96 kPa 

Question 6

The pressure of the gas in a constant volume gas thermometer are 80 cm, 90 cm and 100 cm of mercury at the ice point, the steam point and in a heated wax bath respectively. Find the temperature of the wax bath.

Solution 6

T=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

T=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 7

In a Callender's compensated constant air pressure thermometer, the volume of the bulb is 1800 cc. When the bulb is kept immersed in a vessel, 200 cc of mercury has to be poured out. Calculate the temperature of the vessel.

Solution 7

T'=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

T'307 K

Question 8

A platinum resistance thermometer reads H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature when its resistance is 80Ω and H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature when its resistance is 90Ω. Find the temperature at the platinum scale at which the resistance is 86Ω.

Solution 8

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

T=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Chapter 1 - Heat and Temperature Exercise 13

Question 9

A resistance thermometer reads R=20.0 Ω, 27.5 Ω and 50.0Ω at the ice point (H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature), the steam point (H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature) and the zinc point (H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature) respectively. Assuming that the resistance varies with the temperature as H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature, find the values of H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature,H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Here H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature represents the temperature on Celsius scale. 

Solution 9

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature20Ω, H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Variation of resistance with temperature

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

27.5=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature -(i)

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

50=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature -(ii)

Solving (i) and (ii)

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 10

A concrete slab has a length of 10 m on a winter night when the temperature is H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC. Find the length of the slab on a summer day when the temperature is H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC. The co-efficient of linear expansion of concrete is 1.0×H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 10

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature=10.0035 m

Question 11

A meter scale made of steel is calibrated at H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC to give correct reading. Find the distance between 50 cm mark and 51 cm mark if the scale is used at H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC. Co-efficient of linear expansion of steel is 1.1×H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature/H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 11

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature cm

Question 12

A railway track (made of iron) is laid in winter when the average temperature is H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC. The track consists of sections of 12.0 m placed one after the other. How much gap should be left between two much sections so that there is no compression during summer when the maximum temperature goes to H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC? Co-efficient of linear expansion of iron=11H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 12

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperaturem

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperaturecm

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperaturecm

Question 13

A circular hole of diameter 2.00 cm is made in an aluminium, plate at H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC. What will be the diameter at H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC? α for aluminium=2.3H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 13

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperaturecm

Question 14

Two metre scales, one of steel and the other of aluminium, agree at H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC. Calculate the ratio aluminium-centimetre/steel-centimeter at (a)H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC, (b) H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC and (c) H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC. α for steel=1.1H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and for aluminium =2.3H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 14

(a) H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

(b) H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

(c) H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 15

A meter scale is made up of steel and measures correct length atH-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. What will be the percentage error if this scale is used (a) on a summer day when the temperature is H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and (b) on a winter day when the temperature isH-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature? Coefficient of linear expansion of steel=11H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 15

Percentage error=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

(a) In Summer

% error=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=0.033% 

(b) In winter

% error=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=-0.011% 

Question 16

A metal scale made of steel reads accurately at H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperatureC. In a sensitive experiment, distances accurate up to 0.055 mm in 1 m are required. Find the range of temperature in which the experiment can be performed with this meter scale. Coefficient of linear expansion=11H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 16

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Range of temperature is from 15H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature to 25H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Question 17

The density of water at 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature is 0.998 g/H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and at 4H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature is 1.00 g/H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Calculate the average coefficient of volume expansion of water in the temperature range 0 to 4H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 17

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 18

Find the ratio of lengths of an iron rod and an aluminium rod for which the difference in the lengths is independent of temperature. Coefficients of linear expansion of iron and aluminium are H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature respectively.

Solution 18

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 19

A pendulum clock gives correct time at 20H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature at a place where, g=9.800 m/H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. The pendulum consists of a light steel rod connected to a heavy ball. It is taken to a different place where g=9.788 m/H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. At what temperature will it give correct time? Coefficient of linear expansion of steel=12H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 19

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Since, time period remains same

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 20

An aluminium plate fixed in a horizontal position has a hole diameter 2.000 cm. A steel sphere of diameter 2.005 cm rests on this hole. All the lengths refer to a temperature of 10H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. The temperature of the entire system is slowly increased. At what temperature will the fall down? Coefficient of linear expansion of aluminium is 23H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and that of steel is 11H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 20

Ball will fall down when diameter of both plate and sphere becomes equal.

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature at TH-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature= H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature at TH-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 21

A glass window is to be fit in an aluminium frame. The temperature on the working day is 40H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and the glass window measures exactly 20 cm× 30 cm. What should be the size of the aluminium frame so that there is no stress on the glass in winter even if the temperature drops to 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature ? Coefficients of linear expansion for glass and aluminium are 9.0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and 24H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature respectively.

Solution 21

For no stress in winter final length and breadth of glass and aluminium frame must be the same.

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperaturecm

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperaturecm

Question 22

The volume of a glass vessel is 1000 cc at 20H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. What volume v of mercury should be poured into it at this temperature so that the volume of the remining space does not change with temperature? Coefficients of cubical expansion of mercury and glass are 1.8H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and 9.0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature respectively.

Solution 22

Since, volume of air (space) remains same.

So, change in volume of Hg=change of volume of glass

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperaturecc

Question 23

An aluminium can of cylindrical shape contains 500 H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature of water. The area of inner cross-section of the can is 125H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. All measurements refer to 10H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Find the rise in the water level if the temperature increases to 80H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. The coefficient of linear expansion of aluminium=23H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and the average coefficient of volume expansion of water=3.2H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature respectively.

Solution 23

Change in volume of water

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Base expansion of can is neglected

So, increase in height of water=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperaturecm

Question 24

A glass vessel measures exactly 10 cm×10 cm ×10 cm at 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. It is completely filled with the mercury at this temperature. When the temperature is raised to 10H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature, 1.6 H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature of mercury overflows. Calculate the coefficient of volume expansion of mercury. Coefficient of linear expansion of glass=6.5H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 24

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature (at 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature)

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature (at 10H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature)

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature1.6

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 25

The densities of wood and benzene at 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature are 880 kg/H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and 900 kg/H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature respectively. The coefficients of volume expansion are 1.2H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature for wood and 1.5H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature for benzene. At what temperature will a piece of wood just sink in benzene?

Solution 25

When wood just sinks in benzene

Weight of wood=Buoyancy force

mg=VH-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperatureg

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 26

A steel rod of length 1 m rests on a smooth horizontal base. If it is heated from 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature to 100H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature, what is the longitudinal strain developed?

Solution 26

Since, there is no opposition in expansion of length, no stress develops and hence no longitudinal strain developed. 

Question 27

A steel rod is clamped at its two ends and rests on fixed horizontal base. The rod is unstrained at 20H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Find the longitudinal strain developed in the rod if the temperature rises to 50H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Coefficient of linear expansion of steel=1.2H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 27

Strain=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 28

A steel wire of cross-sectional area 0.5 H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature is held between two fixed supports. If the wire is just taut at 20H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature, determine the tension when the temperature falls to 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Coefficient of linear expansion of steel is 1.2H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and its Young'smodulus is 2.0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 28

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

F=24N 

Question 29

A steel rod is rigidly clamped at two ends. The rod is under zero tension at 20H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. If the temperature rises to 100H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature, what force will the rod exert on one of the clamps. Area of cross-section of the rod=2.00 H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Coefficient of linear expansion of steel=12.0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and Young's modulus of steel=2.00H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 29

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

F=384N 

Chapter 1 - Heat and Temperature Exercise 14

Question 30

Two steel rods and an aluminium rod of equal length H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and equal cross-section are joined rigidly at their ends as shown in figure below. All the rods are in the state of zero tension at 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Find the length of the system when the temperature is raised to θ. Coefficient of linear expansion of aluminium and steel are H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature respectively. Young's modulus of aluminium is H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and of steel is H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Solution 30

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Stress=Y(strain)=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Let final length of the system be l

Total strain=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 31

A steel ball initially at a pressure of 1.0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperaturePa is heated from 20H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature to 120H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature keeping its volume constant. Find the inside the ball. Coefficient of linear expansion of steel=12H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and bulk modulus of steel=1.6H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 31

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And TemperaturePa 

Question 32

Show that moment of inertia of a solid body of any shape changes with temperature as H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature, where H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature is the moment of inertia at 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature and α is the coefficient of linear expansion of the solid.

Solution 32

Moment of inertia=MassH-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature (at 0H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature)

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature (at H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature)

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature [By binomial expansion]

Question 33

A torsional pendulum consists of a solid disc connected to a thin wire (H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature) at its center. Find the percentage change in the time period between peak winter (5H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature) and peak summer (45H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature).

Solution 33

Time period of torsional pendulum

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

% change =H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

Question 34

A circular disc made of iron is rotated about its axis at a constant velocity H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature. Calculate the percentage change in the linear speed of the particle of the rim as the disc is slowly heated from 20H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature to 50H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature keeping the angular velocity constant. Coefficient of linear expansion of iron=H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature.

Solution 34

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature 

% change in linear speed= H-c-verma Solutions Cbse Class 12-science Physics Chapter - Heat And Temperature