Thermal Properties of Matter

According to Stefan’s law of radiation, a black body radiates energy σT4 from its unit surface area every second where T is the surface temperature of the black body and σ = 5.67 × 10-8 W/m2K4 is known as Stefan’s constant. A nuclear weapon may be thought of as a ball of radius 0.5 m. When denoted, it reaches temperature of 106K and can be treated as a black body.

c) if all this energy U is in the form of radiation, corresponding momentum is p = U/c. How much momentum per unit time does it impart on unit area at a distance of 1 km? Answer: (c) According to...

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According to Stefan’s law of radiation, a black body radiates energy σT4 from its unit surface area every second where T is the surface temperature of the black body and σ = 5.67 × 10-8 W/m2K4 is known as Stefan’s constant. A nuclear weapon may be thought of as a ball of radius 0.5 m. When denoted, it reaches temperature of 106K and can be treated as a black body.

a) estimate the power it radiates b) if surrounding has water at 30oC, how much water can 10% of the energy produced evaporate in 1 sec? Answer: a) We know that the expression for the power radiated...

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Calculate the stress developed inside a tooth cavity filled with copper when hot tea at a temperature of 57oC is drunk. You can take body temperature to be 37oC and α = 1.7 × 10-5oC, bulk modulus for copper = 140 × 109 N/m2.

Answer: According to the question, decrease in temperature is as follows: ∆t = 57 – 37 = 20oC The coefficient of linear expansion is as follows: α = 1.7 × 10-5oC And the bulk modulus for copper is:...

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We would like to make a vessel whose volume does not change with temperature. We can use brass and iron (βbrass = 6 × 10-6/K and βiron = 3.55 × 10-5/K) to create a volume of 100 cc. How do you think you can achieve this?

Answer: According to the question, the volume of vessel is V = 100 cm3 = 10-4 = constant We also have that the volume of the iron vessel – Volume of brass rod = 10-4 m3 We know that: $ {{\beta...

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We would like to prepare a scale whose length does not change with temperature. It is proposed to prepare a unit scale of this type whose length remains, say 10 cm. We can use a bimetallic strip made of brass and iron each of different length whose length would change in such a way that difference between their lengths remain constant. If αiron = 1.2 × 10-5/K and αbrass = 1.8 × 10-5/K, what should we take as length of each strip?

Answer: Change in length of iron rod is given as follows: $ \Delta L={{\alpha }_{iron}}{{L}_{iron}}\Delta T $ Change in length of brass rod is given as follows: $ \Delta L={{\alpha...

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One day in the morning, Ramesh filled up 1/3 bucket of hot water from geyser, to take bath. Remaining 2/3 was to be filled by cold water to bring mixture to a comfortable temperature. Suddenly Ramesh had to attend something which would take some times, say 5-10 minutes before he could take bath. Now he has two options:

a) fill the remaining bucket completely by cold water and then attend the work b) first attend to the work and fill the remaining bucket just before taking bath. Which option do you think would have...

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100 g of water is supercooled to -10 degrees C. At this point, due to some disturbance mechanised or otherwise some of it suddenly freezes to ice. What will be the temperature of the resultant mixture and how much mass would freeze?

Answer: According to the question, the mass of water is 100 g At -10 degrees Celsius, the mixture has water and ice The expression for the heat required by the mixture is as follows: ms∆t =...

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During summers in India, one of the common practice to keep cool is to make ice balls of crushed ice, dip it in flavoured sugar syrup and sip it. For this a stick is inserted into crushed ice and is squeezed in the palm to make it into the ball. Equivalently in winter, in those areas where it snows, people make snow balls and throw around. Explain the formation of ball out of crushed ice or snow in the light P-T diagram of water.

Answer: The graph above depicts the relationship between water pressure and temperature. When the pressure is increased, the ice becomes liquid, and when the pressure is decreased, it becomes solid....

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‘Gulab Jamuns’ (assumed to be spherical) are to be heated in an oven. They are available in two sizes, one twice bigger than the other. Pizzas (assumed to be discs) are also to be heated in the oven. They are also in two sizes, one twice big in radius than the other. All four are put together to be heated to oven temperature. Choose the correct option from the following:

a) both size gulab jamuns will get heated at the same time b) smaller gulab jamuns are heated before bigger ones c) smaller pizzas are heated before bigger ones d) bigger pizzas are heated before...

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