## Important questions on thermal properties of matter for Jee Main and Advanced<

Question 1 the triple points of neon and carbon dioxide are 24.57 k and 216.55K respectively. Express these temperatures on Celsius and Fahrenheit scales

Question 2 Two absolute scales A and B have triple points of water defined as 200A and 350A. What is the relation between TA and TB

Question 3The pressure of the gas in 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.

Question 4 A resistance thermometer reads R= 20.0Ω, 27.5Ω and 50.0 Ω at the ice point (0°C), the steam point (100°C) and the zinc point 420°C respectively. Assuming that the resistance varies with temperature as Rθ=R0(1+αθ+βθ2), find the values of R0, α and β. Here θ represents temperature on Celsius scale.

Question 5A circular hole of diameter 2.00 cm is made in an aluminum plate at 0°C. What will be the diameter at 100°C. α for aluminum = 2.3 × 10-3 °C-1.

Question 6The density of water at 0°C is 0.998 gm/cm3 and at 4°C is 1.000 gm/cm3. Calculate the average coefficient of volume expansion of water in temperature range 0 to 4°C.

Question 7A pendulum clock gives correct time at 20°C at a place where g=9.8m/ s2. The pendulum consists of a light steel rod connected to a heavy ball. It is taken to a different place where of = 9.788m/s2. At what temperature will it give correct time? Coefficient of linear expansion of steel = 12X10-6°C-1.

Question 8 A glass vessel measures exactly 10cm × 10cm × 10cm at 0°C. It is filled completely with mercury at this temperature. When the temperature rises to 10°C , 1.6 cm3 of mercury overflows. Calculate the Coefficient of volume of mercury. Coefficient of linear expansion of glass = 6.5 × 10-6°C-1.

Question 9 A steel rod is clamped at its two ends and rests on a fixed horizontal base. The rod is unstrained at 20°C. Find the longitudinal strain developed in the rod if temperature rises to 50°C. Coefficient of linear expansion of steel is 1.2 × 10-5°C-1

Question 10To ensure a light fit aluminum reverts used in airplane construction are made slightly larger than the revert holes and cooled by dry ice (solid CO2) before being driven. If diameter of a hole is 0.2500 in, what should be the diameter of revert at 20°C if is diameter is equal to that of hole when revert is cooled to -78°C the temperature of dry ice? Coefficient of Linear expansion of Aluminum =2.4X10-5°C-1

Question 11A steel ring of 3.000 in inside diameter at 20°C is to be heated and slipped over a brass shaft measuring 3.002 inch in diameter at 20°C αbrass = 2 × 10-5 °C-1 αsteel =1.2 × 10-5 °C-1
(a) To what temperature should the ring be heated?
(b) If the ring and shaft together are cooled by some means such as liquid air, at what temperature will the ring just slip off the shaft.

Question 12A metal rod 30.0 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C.A rod of a different metal and of same length expands by 0.045 cm for the same raise in temperature. A third rod also 30.0 cm long is made up of the pieces of each of the above metals placed and to end. and expends 0.065 cm between 0°C and 100°C. Find the length of each portion of the composite bar.

Question 13Suppose that a steel hoop could be constructed around the earth's equator, just fitting it at a temperature 20°C. What would be the thickness of space between hoop and the earth if the temperature of the hoop were increased by 1 °C.
αsteel = 1.2 × 10-5 °C-1

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