STMARYTX PHYS 042 - Problems based on Thermometry
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02-Thermal Expansion (Practice problem).pdf (p.1-6)03-Thermal Expansion-Answersheet.pdf (p.7)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° 2. At what temperature the centigrade (Celsius) and Fahrenheit, readings are the same [RPMT 1997] (a) – 40° (b) + 40° (c) 36.6° (d) – 37° 3. Standardisation of thermometers is obtained with [CPMT 1996] (a) Jolly's thermometer (b) Platinum resistance thermometer (c) Thermocouple thermometer (d) 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 (c) Gases are much lighter (d) Gases do not easily change 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) )32(95 CtFt (b)  3295CtFt (c)  3259CtFt (d) )32(59 CtFt 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 (c) 1°F (d) 1° K Problems based on Expansion of Solids82 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 (b) Both block and pin are heated together (c) Both block and pin are cooled together (d) Only the pin is cooled 12. If the length of a cylinder on heating increases by 2%, the area of its base will increase by [CPMT 1993] (a) 0.5% (b) 2% (c) 1% (d) 4% 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% (c) 1.5% (d) 2% 14. Two rods of length 1L and 2L are made of materials of coefficients of linear expansions 1 and 2 respectively such that 2211LL . The temperature of the rods is increased by T and correspondingly the change in their respective lengths be 1L and 2L (a) 21LL  (b) 21LL  (c) Difference in length )(21LL  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 C/10661. Another rod of length l has the coefficient of linear expansion C/10462. 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. The coefficients of linear expansion of the rods are 1 and 2 and their respective Young’s moduli are 1Y and 2Y. The system is now cooled and it is observed that the junction between the rods does not shift at all for the condition (a) 1221YY  (b) 222211YY  (c) 2211YY  (d) 212221YY  17. The coefficient of linear expansion of crystal in one direction is 1 and that in every direction perpendicular to it 2. The coefficient of cubical expansion is (a) 21 (b) 212 (c) 212 (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) 3 (b) 3 (c) 3 (d) 3 19. Water does not freeze at the bottom of the lakes in winter because (a) Ice is a good conductor of heat (b) Ice reflects heat and light (c) Of anomalous expansion of water between 4°C to 0°C (d) 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 C/1096 while of volume expansion of mercury is C/108.14 (a) 50 cc (b) 100 cc (c) 150 cc (d) 200 cc  Advance level 21. A metal ball immersed in alcohol weighs 1W at 0°C and 2W at 59°C. The coefficient of cubical expansion of the 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]Thermometry, Thermal Expansion and Caloriemetry 83 (a) 21WW  (b) 21WW  (c) 21WW  (d) )2/(12WW  22. In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures 1t and 2t. The liquid columns in the two arms have heights 1l and 2l respectively. The coefficient of volume expansion of the liquid is equal to (a) 211221tltlll (b) 221121tltlll (c) 211221tltlll (d) 221121tltlll Problems based on Application of thermal expansion  Basic level 23. Two spheres of same size are made of

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STMARYTX PHYS 042 - Problems based on Thermometry

Course: Phys 042-
Pages: 7
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