JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Sample Paper

done Topic Test - Thermometry, Calorimetry & Thermal Expansion Total Questions - 35    [Download]

• question_answer1)

  DIRECTION: Read the passage given below and answer the questions that follows:

  A brass ball of mass 100g is heated to \[100{}^\circ C\] and then dropped into 200g of turpentine in a calorimeter at \[15{}^\circ C\] The final temperature is found to be \[(\rho )\]. Take specific heat of brass as \[T=k\sqrt{\rho {{r}^{3}}/S}\] and water equivalent of calorimeter as 4g.

  The specific heat of turpentine is      
  A)
  \[0.42\text{ }cal/g{}^\circ c\]                 
  done clear
  B)
  \[0.96\text{ }cal/g{}^\circ c\]
  done clear
  C)
  \[0.72\text{ }cal/g{}^\circ c\]                 
  done clear
  D)
  \[0.12\text{ }cal/g{}^\circ c\]
  done clear
  View Answer play_arrow

• question_answer2)

  DIRECTION: Read the passage given below and answer the questions that follows:

  A brass ball of mass 100g is heated to \[100{}^\circ C\] and then dropped into 200g of turpentine in a calorimeter at \[15{}^\circ C\] The final temperature is found to be \[(\rho )\]. Take specific heat of brass as \[T=k\sqrt{\rho {{r}^{3}}/S}\] and water equivalent of calorimeter as 4g.

  Heat lost by the ball is approximately 
  A)
  810 cal                         
  done clear
  B)
  610 cal
  done clear
  C)
  710 cal      
  done clear
  D)
  510 cal
  done clear
  View Answer play_arrow

• question_answer3)

  DIRECTION: Read the passage given below and answer the questions that follows:

  A brass ball of mass 100g is heated to \[100{}^\circ C\] and then dropped into 200g of turpentine in a calorimeter at \[15{}^\circ C\] The final temperature is found to be \[(\rho )\]. Take specific heat of brass as \[T=k\sqrt{\rho {{r}^{3}}/S}\] and water equivalent of calorimeter as 4g.

  Heat gained by turpentine and calorimeter is approximately
  A)
  810 cal                         
  done clear
  B)
  610 cal
  done clear
  C)
  710 cal         
  done clear
  D)
  510 cal  
  done clear
  View Answer play_arrow

• question_answer4)
  At \[15{}^\circ C,\] a wheel has diameter of 30 cm and inside diameter of a steel rim is 29.9 cm. Coefficient of thermal expansion of steel is \[1.2\times {{10}^{-5}}{{/}^{o}}C\]. To what temperature, the rim must be heated so that it can slip over wheel?
  A)
  \[2787{}^\circ C\]                    
  done clear
  B)
  \[2772{}^\circ C\]
  done clear
  C)
  \[2529{}^\circ C\]                    
  done clear
  D)
  \[2802{}^\circ C\]
  done clear
  View Answer play_arrow

• question_answer5)
  A beaker contains 200 gm of water. The heat capacity of the beaker is equal to that of 20 gm of water. The initial temperature of water in the beaker is\[20{}^\circ C\]. If 40 gm of hot water at \[92{}^\circ C\] is poured in it, the final temperature (neglecting radiation loss) will be nearest to
  A)
  \[58{}^\circ C\]            
  done clear
  B)
  \[68{}^\circ C\]
  done clear
  C)
  \[73{}^\circ C\]            
  done clear
  D)
  \[78{}^\circ C\]
  done clear
  View Answer play_arrow

• question_answer6)
  The coefficient of apparent expansion of mercury in a glass vessel is \[153\times {{10}^{-6}}/{}^\circ C\] and in a steel vessel is \[144\times {{10}^{-6}}/{}^\circ C\]. If \[\alpha \] for steel is \[12\times {{10}^{-6}}/{}^\circ C,\] then that of glass is
  A)
  \[9\times {{10}^{-6}}/{}^\circ C\]                   
  done clear
  B)
  \[6\times {{10}^{-6}}/{}^\circ C\]
  done clear
  C)
  \[36\times {{10}^{-6}}/{}^\circ C\]      
  done clear
  D)
  \[27\times {{10}^{-6}}/{}^\circ C\]
  done clear
  View Answer play_arrow

• question_answer7)
  A solid object of mass M is made of material of specific heat capacity c, latent heat of fusion L and of very high thermal conductivity. When the object enters the atmosphere from outer space, its temperature below its melting point by \[\Delta T\]. Because of atmospheric friction, it absorbs energy at a constant rate of R. The time before the solid becomes completely molten is
  A)
  \[\frac{M(C+L)\Delta T}{R}\]     
  done clear
  B)
  \[\frac{M(C\Delta T+L)}{R}\]
  done clear
  C)
  \[\frac{M(C+L)\Delta T}{R}\]     
  done clear
  D)
  \[\frac{R}{(M\Delta T(C+L)}\]
  done clear
  View Answer play_arrow

• question_answer8)
  \[t={{t}_{1}}+{{t}_{2}}=\frac{M}{R}(C\Delta T+L)\] A glass flask is filled up to a mark with 50 cc of mercury at \[18{}^\circ C\]. If the flask and contents are heated to \[38{}^\circ C,\] how much mercury will be above the mark? (\[\alpha \] for glass is \[9\times {{10}^{-6}}/{}^\circ C\] and coefficient of real expansion of mercury is\[180\times {{10}^{-6}}/{}^\circ C\])
  A)
  0.85 cc             
  done clear
  B)
  0.46 cc
  done clear
  C)
  0.153 cc           
  done clear
  D)
  0.05 cc
  done clear
  View Answer play_arrow

• question_answer9)
  A pendulum clock keeps correct time at \[0{}^\circ C\]. Its mean coefficient of linear expansions is a\[{{\alpha }^{o}}{{C}^{-1}}\]. The loss in seconds per day by the clock if the temperature rises by \[t{}^\circ C\] is
  A)
  \[\frac{\frac{1}{2}\alpha t\times 864000}{1-\frac{\alpha \,t}{2}}\]
  done clear
  B)
  \[\frac{1}{2}\alpha \,t\times 86400\]
  done clear
  C)
  \[\frac{\frac{1}{2}\alpha \,t\times 86400}{{{\left( 1+\frac{\alpha \,t}{2} \right)}^{2}}}\]  
  done clear
  D)
  \[\frac{\frac{1}{2}\alpha \,t\times 86400}{1+\frac{\alpha \,t}{2}}\]
  done clear
  View Answer play_arrow

• question_answer10)
  The temperature of equal masses of three different liquids A, B and C are \[12{}^\circ C,\] \[19{}^\circ C\] and \[28{}^\circ C\] respectively. The temperature when A and B are mixed is \[16{}^\circ C\] and when B and C are mixed is \[23{}^\circ C,\] The temperature when A and C are mixed is
  A)
  \[18.2{}^\circ C\]                     
  done clear
  B)
  \[22{}^\circ C\]  
  done clear
  C)
  \[20.2{}^\circ C\]         
  done clear
  D)
  \[25.2{}^\circ C\]
  done clear
  View Answer play_arrow

• question_answer11)
  A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at \[0{}^\circ C\] and \[100{}^\circ C\] respectively. When the pressure reading is 60 cm of mercury, the temperature is
  A)
  \[25{}^\circ C\]                        
  done clear
  B)
  \[40{}^\circ C~\]
  done clear
  C)
  \[15{}^\circ C\]            
  done clear
  D)
  \[{{12.5}^{o}}C\]
  done clear
  View Answer play_arrow

• question_answer12)
  The volume of a metal ball increases by 0.18% when its temperature is increased by \[{{30}^{o}}C\] What is the coefficient of linear expansion of metal?
  A)
  \[2\times {{10}^{-5}}{{l}^{0}}C\]                  
  done clear
  B)
  \[3\times {{10}^{-5}}{{l}^{0}}C\]
  done clear
  C)
  \[6\times {{10}^{-5}}{{l}^{0}}C\]                  
  done clear
  D)
  \[1.8\times {{10}^{-4}}{{l}^{0}}C\]
  done clear
  View Answer play_arrow

• question_answer13)
  Steam at \[1\,\,\text{atm}\,\,and\,\,100{}^\circ C\] enters a radiator & leaves as water at \[1\,\,\text{atm}\,\,and\,\,80{}^\circ C,\] take \[{{L}_{y}}=540\text{ cal/cm}\] and \[{{s}_{water}}=11\text{ }cal/gm/{}^\circ C.\] If the total energy given off as heat, the % age arises from the cooling of water is
  A)
  100                              
  done clear
  B)
  54      
  done clear
  C)
  3.6       
  done clear
  D)
  8.2
  done clear
  View Answer play_arrow

• question_answer14)
  Compared to a burn due to water at \[100{}^\circ C,\] a burn due of steam at \[100{}^\circ C\] is
  A)
  More dangerous 
  done clear
  B)
  Less dangerous 
  done clear
  C)
  Equally dangerous          
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer15)
  Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be (\[{{\alpha }_{1}},{{\alpha }_{2}}\]= linear expansion co-efficient \[{{\text{A}}_{\text{1}}}\text{,}{{\text{A}}_{\text{2}}}\] =Area of rods \[{{\text{Y}}_{\text{1}}}\text{,}{{\text{Y}}_{\text{2}}}\]= Young modulus)
  A)
  \[\frac{{{\text{A}}_{\text{1}}}}{{{\text{A}}_{\text{2}}}}\text{=}\frac{{{\text{ }\!\!\alpha\!\!\text{ }}_{\text{1}}}{{\text{Y}}_{\text{1}}}}{{{\text{ }\!\!\alpha\!\!\text{ }}_{\text{2}}}{{\text{Y}}_{\text{2}}}}\]                
  done clear
  B)
  \[\frac{{{\text{A}}_{\text{1}}}}{{{\text{A}}_{\text{2}}}}\text{=}\frac{{{\text{L}}_{1}}{{\text{ }\!\!\alpha\!\!\text{ }}_{\text{1}}}{{\text{Y}}_{\text{1}}}}{{{\text{L}}_{2}}{{\text{ }\!\!\alpha\!\!\text{ }}_{\text{2}}}{{\text{Y}}_{\text{2}}}}\]
  done clear
  C)
  \[\frac{{{\text{A}}_{\text{1}}}}{{{\text{A}}_{\text{2}}}}\text{=}\frac{{{\text{L}}_{2}}{{\text{ }\!\!\alpha\!\!\text{ }}_{2}}{{\text{Y}}_{2}}}{{{\text{L}}_{1}}{{\text{ }\!\!\alpha\!\!\text{ }}_{1}}{{\text{Y}}_{1}}}\]      
  done clear
  D)
  \[\frac{{{\text{A}}_{\text{1}}}}{{{\text{A}}_{\text{2}}}}\text{=}\frac{{{\text{ }\!\!\alpha\!\!\text{ }}_{2}}{{\text{Y}}_{2}}}{{{\text{ }\!\!\alpha\!\!\text{ }}_{1}}{{\text{Y}}_{1}}}\]
  done clear
  View Answer play_arrow

• question_answer16)
  On an X temperature scale, water freezes at \[-125.0{}^\circ X\] and boils at \[375.0{}^\circ X\]. On a Y temperature scale, water freezes at \[-70.0{}^\circ Y\] and boils at\[-30.0{}^\circ Y\]. The value of temperature on X-scale equal to the temperature of \[50.0{}^\circ Y\] on Y-scale is :
  A)
  \[455.0{}^\circ X\]        
  done clear
  B)
  \[-125.0{}^\circ X\]
  done clear
  C)
  \[1375.0{}^\circ X\]                  
  done clear
  D)
  \[1500.0{}^\circ X\]
  done clear
  View Answer play_arrow

• question_answer17)
  An ice block at \[0{}^\circ C\] and of mass m is dropped from height 'h' such that the loss in gravitational potential energy of block is exactly equal to the heat required to just completely melt the ice. Taking latent heat of fusion of ice \[=\text{ }80\text{ }cal/gm,\] acceleration due to gravity \[=\text{ }10\text{ }m/{{s}^{2}}\] and, mechanical equivalent of heat \[=\text{ }4.2\text{ }J/Cal\]. The value of 'h' is
  A)
  8 m                  
  done clear
  B)
  8 km
  done clear
  C)
  33.6 m             
  done clear
  D)
  33.6 km
  done clear
  View Answer play_arrow

• question_answer18)
  4 gms of steam at \[100{}^\circ C\] is added to 20 gms of water at \[46{}^\circ C\] in a container of negligible mass. Assuming no heat is lost to surrounding, the mass of water in container at thermal equilibrium is. Latent heat of vaporisation \[=\text{ }540\text{ }cal/gm\]. Specific heat of water \[=\text{ }1\text{ }cal/gm-{}^\circ C\].
  A)
  18gm                           
  done clear
  B)
  20gm
  done clear
  C)
  22gm
  done clear
  D)
  24gm
  done clear
  View Answer play_arrow

• question_answer19)
  A uniform metallic object of circular shape which is free to expand in every direction is shown in figure. The parameter which will not increase on heating the object is :
  A)
  x (gap)                                   
  done clear
  B)
  r (radius of circle)
  done clear
  C)
  \[\theta \] (angle formed at centre)          
  done clear
  D)
  t(thickness)
  done clear
  View Answer play_arrow

• question_answer20)
  Mercury is poured in a U tube. Level of mercury on one side is \[{{h}_{1}}\] at temperature \[\text{5}{{\text{0}}^{\text{o}}}\text{C}\] and level of mercury on the other side is \[{{h}_{2}}\] at temperature \[\text{10}{{\text{0}}^{\text{o}}}\text{C}\] Then
  A)
  \[{{h}_{1}}={{h}_{2}}\]                     
  done clear
  B)
  \[{{h}_{1}}<{{h}_{2}}\]
  done clear
  C)
  \[{{h}_{1}}>{{h}_{2}}\]         
  done clear
  D)
  \[{{h}_{2}}=2{{h}_{1}}\]
  done clear
  View Answer play_arrow

• question_answer21)
  If two rods of length L and 2L having coefficients of linear expansion \[\alpha \] and \[2\alpha \] respectively are connected so that total length becomes 3L, the average coefficient of linear expansion of the composite rod equals :
  A)
  \[\frac{3}{2}\alpha \]                             
  done clear
  B)
  \[\frac{5}{2}\alpha \]
  done clear
  C)
  \[\frac{5}{3}\alpha \]                 
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer22)
  A steel scale is calibrated for\[\text{27}{{\,}^{\text{o}}}\text{C}\text{.}\] The error in a reading of 50 cm at\[30{{\,}^{\text{o}}}\text{C}\]is \[[{{\alpha }_{steel}}=1.2\,\times \,{{10}^{-5}}/{{\,}^{o}}C]\]
  A)
  0.018 mm                     
  done clear
  B)
  0.18 mm
  done clear
  C)
  0.0018 mm                   
  done clear
  D)
  0.16 mm
  done clear
  View Answer play_arrow

• question_answer23)
  Four cubes of ice at \[-10{}^\circ C\] each one gm is taken out from the refrigerator and are put in 150 gm of water at \[20{}^\circ C\]. The temperature of water when thermal equilibrium is attained. Assume that no heat is lost to the outside and water equivalent of container is 46 gm. (Specific heat capacity of water \[=\text{ }1\text{ }cal/gm-{}^\circ C\], Specific heat capacity of ice \[=\text{ }0.5\text{ }cal/gm-{}^\circ C\], Latent heat of fusion of ice \[=\text{ }80\text{ }cal/gm)\]
  A)
  \[0{}^\circ C\]                         
  done clear
  B)
  \[-10{}^\circ C\]
  done clear
  C)
  \[17.9{}^\circ C\]    
  done clear
  D)
  None
  done clear
  View Answer play_arrow

• question_answer24)
  The freezing point on a thermometer is marked as -\[{{20}^{\circ }}\]and the boiling point as \[{{130}^{\circ }}\]. A temperature of human body \[({{34}^{\circ }}C)\]on this thermometer will be read as:
  A)
  \[{{31}^{\circ }}\]                   
  done clear
  B)
  \[{{51}^{\circ }}\]
  done clear
  C)
  \[{{20}^{\circ }}\]                               
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer25)
  A circular hole is made in a plate. The plate is now heated. Which of the following statements is/are correct?
  A)
  radius of the hole starts to decrease
  done clear
  B)
  no stress is developed in the material of plate
  done clear
  C)
  volume of the plate material will decrease
  done clear
  D)
  none of these
  done clear
  View Answer play_arrow

• question_answer26)
  When a building is constructed at \[-10{}^\circ C\], a steel beam (cross-sectional area \[45\text{ }c{{m}^{2}}\]) is put in place with its ends cemented in pillars. If the sealed ends cannot move, what will be the compressional force in the beam when the temperature is \[25{}^\circ C\]? For this kind of    steel, \[\alpha =1.1\times {{10}^{-5}}\,{{\,}^{o}}{{C}^{-1}}\] and \[Y=2.0\times {{10}^{11}}N/{{m}^{2}}\].
  A)
  \[2.5\times {{10}^{3}}N\]                    
  done clear
  B)
  \[3.5\times {{10}^{5}}N\]
  done clear
  C)
  \[2.5\times {{10}^{5}}N\]                    
  done clear
  D)
  \[3.5\times {{10}^{3}}N\]
  done clear
  View Answer play_arrow

• question_answer27)
  If the length of a cylinder on heating increases by 2%, the area of its base will increase by- 
  A)
  0.5%                
  done clear
  B)
  2%
  done clear
  C)
  1%                               
  done clear
  D)
  4% 
  done clear
  View Answer play_arrow

• question_answer28)
  The thermal capacity of 40 g of aluminium (specific heat \[-\,0.2cal/\,gm{}^\circ C)\])
  A)
  \[40cal/{}^\circ C\]                   
  done clear
  B)
  \[160cal/{}^\circ C\]
  done clear
  C)
  \[200cal/{}^\circ C\]                 
  done clear
  D)
  \[8cal/{}^\circ C\]
  done clear
  View Answer play_arrow

• question_answer29)
  A wooden cylinder of 50 kg is floating in water. A weight of 2 kg is to be placed on it to just make it submerge when the temperature is \[10{}^\circ C\]. How much less weight is to be placed when temperature increases to \[30{}^\circ C\]? (Given \[{{\gamma }_{water}}={{10}^{-4}}{{/}^{o}}C,{{\gamma }_{wood}}\] is negligible.):
  A)
  104 g       
  done clear
  B)
  58 g
  done clear
  C)
  208 g                           
  done clear
  D)
  54 g
  done clear
  View Answer play_arrow

• question_answer30)

  DIRECTION: Read the passage given below and answer the questions that follows:

  In a thermally insulated tube of cross sectional area \[\frac{GMm}{2R}\] a liquid of thermal expansion coefficient \[{{10}^{-3}}\,{{K}^{-1}}\] is flowing. Its velocity at the entrance is \[0.1\text{ }m/s\]. At the middle of the tube a heater of a power of 10kW is heating the liquid. The specific heat capacity of the liquid is 1.5 kJ/(kg K), and its density is \[1500\text{ }kg/{{m}^{3}}\] at the entrance.

  The rise in temperature of the liquid as it pass through the tube is
  A)
  \[\frac{1000}{9}{}^\circ C\]     
  done clear
  B)
  \[\frac{1}{9}{}^\circ C\]
  done clear
  C)
  \[\frac{500}{9}{}^\circ C\]                   
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer31)

  DIRECTION: Read the passage given below and answer the questions that follows:

  In a thermally insulated tube of cross sectional area \[\frac{GMm}{2R}\] a liquid of thermal expansion coefficient \[{{10}^{-3}}\,{{K}^{-1}}\] is flowing. Its velocity at the entrance is \[0.1\text{ }m/s\]. At the middle of the tube a heater of a power of 10kW is heating the liquid. The specific heat capacity of the liquid is 1.5 kJ/(kg K), and its density is \[1500\text{ }kg/{{m}^{3}}\] at the entrance.

  What is the density of liquid at the exit?
  A)
  1450 kg/m3                   
  done clear
  B)
  1400 kg/m3   
  done clear
  C)
  1350 kg/m3   
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer32)
  How much bigger is the volume rate of flow at the end of the tube than at the entrance in cubic meters?
  A)
  \[9\,\times \,{{10}^{-5}}\]                    
  done clear
  B)
  \[\frac{1}{3}\times \,{{10}^{-5}}\]
  done clear
  C)
  \[\frac{4}{9}\times \,{{10}^{-5}}\]       
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer33)
  The coefficient of apparent expansion of a liquid in a copper vessel is C and in a silver vessel S. The coefficient of volume expansion of copper is \[{{\gamma }_{C}}\]. What is the coefficient of linear expansion of silver?
  A)
  \[(C+{{\gamma }_{C}}+S)/3\]  
  done clear
  B)
  \[(C-{{\gamma }_{C}}+S)/3\]
  done clear
  C)
  \[(C+{{\gamma }_{C}}-S)/3\]   
  done clear
  D)
  \[(C-{{\gamma }_{C}}-S)/3\]
  done clear
  View Answer play_arrow

• question_answer34)
  A piece of metal weight 46 gm in air, when it is immersed in the liquid of specific gravity 1.24 at \[27{}^\circ C\] it weighs 30 gm. When the temperature of liquid is raised to \[42{}^\circ C\], the metal piece weighs 30.5 gm, specific gravity of the liquid at \[42{}^\circ C\] is 1.20, then the linear expansion of the metal will be
  A)
  \[3.316\,\times \,{{10}^{-5}}\,/{}^\circ C\]       
  done clear
  B)
  \[2.316\,\times \,{{10}^{-5}}\,/{}^\circ C\]
  done clear
  C)
  \[4.316\,\times \,{{10}^{-5}}\,/{}^\circ C\]       
  done clear
  D)
  None of these
  done clear
  View Answer play_arrow

• question_answer35)
  2 kg of ice at \[\text{ }20{}^\circ C\] is mixed with 5kg of water at \[20{}^\circ C\] in an insulating vessel having a negligible heat capacity. Calculate the final mass of water remaining in the container. It is given that the specific heats of water and ice are \[1\text{ }kcal/kg\text{ }/{}^\circ C\] and \[0.5\text{ }kcal/kg/{}^\circ C\] while the latent heat of fusion of ice is 80 kcal/kg
  A)
  7kg                  
  done clear
  B)
  6kg    
  done clear
  C)
  4kg                  
  done clear
  D)
  2kg
  done clear
  View Answer play_arrow