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

Heat and Temperature Exercise 12

Solution 1

For any scale

F.P.=Freezing point

B.P.=Boiling point

  

  

  

C=20°centigrade 

Solution 2

 =1.5×  Pa

P=2.05×  Pa

Using

T=   

  

T=373.3 K 

Solution 3

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

P=2.2   

Using,

T=  

=  

T=601 K 

Solution 4

 =40×  Pa; T=273+100=373 K

Using,

T=  

P=  

P=  

P=55 kPa 

Solution 5

T=  

TP

  

  

 96 kPa 

Solution 6

T=  

=  

T=  

Solution 7

T'=  

=  

T'307 K

Solution 8

  

=  

T=  

Heat and Temperature Exercise 13

Solution 9

 20Ω,   

Variation of resistance with temperature

  

  

27.5=  -(i)

  

50=  -(ii)

Solving (i) and (ii)

  

Solution 10

  

  

 =10.0035 m

Solution 11

  

  

  

  cm

Solution 12

  

  

 m

 cm

 cm

Solution 13

  

  

 cm

Solution 14

(a)   

  

  

(b)   

(c)   

Solution 15

Percentage error=  

  

(a) In Summer

% error=  

=  

=0.033% 

(b) In winter

% error=  

=  

=-0.011% 

Solution 16

  

  

  

  

  

Range of temperature is from 15  to 25 .

Solution 17

  

  

  

  

Solution 18

  

  

  

Solution 19

  

Since, time period remains same

  

  

  

  

  

  

  

Solution 20

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

  at T =   at T  

  

  

  

  

  

Solution 21

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

  

  

  

 cm

  

  

 cm

Solution 22

Since, volume of air (space) remains same.

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

  

  

 cc

Solution 23

Change in volume of water

  

  

  

Base expansion of can is neglected

So, increase in height of water= cm

Solution 24

  (at 0 )

  (at 10 )

 1.6

  

  

Solution 25

When wood just sinks in benzene

Weight of wood=Buoyancy force

mg=V g

  

  

  

  

  

Solution 26

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

Solution 27

Strain=  

=  

=  

Solution 28

  

  

  

F=24N 

Solution 29

  

  

  

F=384N 

Heat and Temperature Exercise 14

Solution 30

  

Stress=Y(strain)=  

Let final length of the system be l

Total strain=  

=  

  

  

Solution 31

  

  

  

 Pa 

Solution 32

Moment of inertia=Mass  

  (at 0 )

  (at  )

  

  

  [By binomial expansion]

Solution 33

Time period of torsional pendulum

  

  

  

  

  

% change =  

Solution 34

  

  

  

  

% change in linear speed=   

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