2 3 Thermometry Thermal Expansion and Caloriemetry 81 Problems based on Thermometry Basic level 1 A centigrade and a Fahrenheit thermometer are dipped in boiling water The water temperature is lowered until the Fahrenheit thermometer registers 140 What is the fall in temperature as registered by the Centigrade thermometer CBSE PMT 1992 AIIMS 1998 a 30 b 40 c 60 d 80 At what temperature the centigrade Celsius and Fahrenheit readings are the same RPMT 1997 a 40 b 40 c 36 6 d 37 Standardisation of thermometers is obtained with CPMT 1996 a Jolly s thermometer c Thermocouple thermometer b Platinum resistance thermometer Gas thermometer 4 The gas thermometers are more sensitive than liquid thermometers because CPMT 1993 a Gases expand more than liquids b Gases are easily obtained d d Gases do not easily change c Gases are much lighter their states 5 Mercury thermometers can be used to measure temperatures upto CBSE PMT 1992 a 100 C b 212 C c 360 C d 500 C 6 A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at 0 C and 100 C respectively When the pressure reading is 60 cm of mercury the temperature is MNR 1991 a 25 C b 40 C c 15 C d 12 5 C 7 The relation that converts temperature in Celsius scale to temperature in Fahrenheit scale is a b c d 8 A temperature difference of 5 C on Celsius scale corresponds to the following temperature difference in the Fahrenheit scale a 9 b 41 c 2 8 d 15 9 Mercury boils at 367 C However mercury thermometers are made such that they can measure temperature up to 500 C This is done by a Maintaining vacuum above mercury column in the stem of the thermometer b Filling nitrogen gas at high pressure above the mercury column c Filling nitrogen gas at low pressure above the mercury column d Filling oxygen gas at high pressure above the mercury column Advance level 10 Which of the following is the smallest temperature a 1 R b 1 C d 1 K Problems based on Expansion of Solids c 1 F 32 95 CtFt 3295CtFt 3259CtFt 32 59 CtFt 82 Thermometry Thermal Expansion and Caloriemetry Basic level 11 At some temperature T a bronze pin in a little large to fit into a hole drilled in a steel block The change in temperature required for an exact fit is minimum when SCRA 1998 a Only the block is heated together b Both block and pin are heated 12 c Both block and pin are cooled together If the length of a cylinder on heating increases by 2 the area of its base will increase by a 0 5 d Only the pin is cooled d 4 b 2 c 1 CPMT 1993 13 A thin wire of length L increases in length by 1 when heated to a certain range of temperature If a thin copper plate of area 2L L is heated through same range the percentage increase in area will be a 3 b 2 5 d 2 c 1 5 are made of materials of coefficients of linear expansions and and 14 Two rods of length respectively such that The temperature of the rods is increased by T and correspondingly the change in their respective lengths be and a b c Difference in length is a constant and is independent of rise of temperature d Data is insufficient to arrive at a conclusion 15 A rod of length 40 cm has the coefficient of linear expansion Another rod of length l has the coefficient of linear expansion If the difference in length of the two rods always remain same at all temperatures then the value of l is a 26 cm b 60 cm c 80 cm d 32 cm Advance level 16 Two metal rods having same length and area of cross section are fixed end to end between two rigid supports and The coefficients of linear expansion of the rods are and their respective Young s moduli are and The system is now cooled and it is observed that the junction between the rods does not shift at all for the condition a b c d 17 The coefficient of linear expansion of crystal in one direction is and that in every direction perpendicular to it The coefficient of cubical expansion is a b c d None of these Problems based on Expansion of liquid Basic level 18 A liquid with coefficient of volume expansion is filled in a container of a material expansion If the liquid overflows on heating then a b c d 19 Water does not freeze at the bottom of the lakes in winter because a Ice is a good conductor of heat c Of anomalous expansion of water between 4 C to 0 C d b Ice reflects heat and light Nothing can be said 20 A one litre glass flask contains some mercury It is found that at different temperatures the volume of air inside the flask remains the same What is the volume of mercury in this flask if coefficient of linear expansion of glass is while of volume expansion of mercury is a 50 cc b 100 cc c 150 cc d 200 cc Advance level 21 A metal ball immersed in alcohol weighs metal is less than that of alcohol Assuming that the density of metal is large compared to that of alcohol it can be shown that CPMT 1998 at 0 C and at 59 C The coefficient of cubical expansion of the 1L2L1 2 2211 LL 1L 2L 21LL 21LL 21LL C 10661 C 10462 1 2 1Y2Y1221 YY 222211 YY 2211 YY 212221 YY 1 2 21 212 212 3 3 3 3 C 1096C 108 141W2W a b c d a b c d 22 In a vertical U tube containing a liquid the two arms are maintained at different temperatures and The liquid columns in the two arms have heights and respectively The coefficient of volume expansion of the liquid is equal to Thermometry Thermal Expansion and Caloriemetry 83 t2 l2 t1 l1 Problems based on Application of thermal expansion Basic level 23 Two spheres of same size are made of the same material but one is solid and the other is hollow They are heated to the same temperature a Both spheres expand equally b The solid sphere expands more c The hollow sphere expands more d Data is insufficient to arrive at a conclusion 24 A bimetallic strip is made up of two metals with different a On heating it bends towards the metal with high b On heating it bends towards the metal with low c On cooling it bends towards the metal with high d On cooling it bends towards the metal with low 25 A metal rod of length made of material of Young s modulus Y area A is fixed between two rigid supports The coefficient of linear expansion of the rod is The rod is heated such that the tension in the rod is T a b c …