Perfect Black Body
Calculate the temperature (in K) at which perfect black body radiates energy at the rate of 5.67 W/cm² .Given, \(\sigma\) = 5.67 x 10^{- 8} Wm^-2 K^-4

A Hot Body Radiating Energy
A hot body having the surface temperature 1327⁰C. Determine the wavelength at which it radiates maximum energy. Given wien's constant = 2.9 x 10^-3 mK.

What do you understand by thermal resistance?
closed cubical box is made of perfectly insulating material and the only way for heat to enter or leave the box is through two solid cylindrical metal plugs, each of cross-sectional area 12 cm² and length 8 em fixed in the opposite walls of the box. The outer surface of one plug is kept at a temperature of 100°C while the outer surface of other plug is maintained at a temperature of 4°C. The thermal conductivity of the material of the plug is 2.0 W/m-°C. A source of energy generating 13 W is enclosed inside the box. Find the equilibrium temperature of the inner surface of the box assuming that it is the same at all points on the inner surface

A copper cube of mass 200 g slides down on a rough inclined plane having inclination 37^o at a constant speed. If any loss in mechanical energy goes into the copper block as thermal energy. Find the increase in the temperature of the block as it slides down through 60 cm. Given, specific heat of copper is 420 J Kg^-1K^-1 .

On a winter day the temperature of the tap water is 20^o C whereas the atmospheric temperature is 5^o C. Water is stored in a tank of capacity 0.5 m³ for household use. Is it were possible to use the heat liberated by the water to left a 10 kg mass vertically. How high can it be lifted as the water comes to the room temperature. Take g = 10 ms^-1

A specific book describes a new temperature scale called Z, in which boiling and freezing points of water are referred as 65^oZ and -15^oZ , respectively.
(i) To what temperature on Fahrenheit scale would a temperature -95^o Z correspond?
(ii) What temperature change on the Z scale would correspond to change of 40^o on Celsius scale?

What is thermal expansion ? Discuss the types of thermal expansions.
Equal volumes ofwater and alcohol, when put in similar calorimeters take 100 sand 74 s respectively to cool from 50°C to 40°C. Calculate the specific heat capacity of alcohol given that the thermal capacity of each calorimeter is numerically equal to the volume of either liquid. Take the relative density of alcohol as 0.8 and the specific heat capacity of water as 1 cal per gram per "C,

The figure shows a large tank of water at a constant temperature f}o and a small vessel containing
a mass 'm' ofwater at an initial temperature f}l « f}c). A metal rod of length L, area of cross section  and thermal conductivity K connects the two vessels, Find the time taken for the temperature of the water in the smaller vessel to become \(\theta\)₂ (\(\theta\)₁< \(\theta\)₂ <\(\theta\)₀ ) Specific heat capacity of water is's' and all other heat capacities are negligible.

A block of wood is floating on water at ooe with a certain volume x above the level of water. The temperature of water is gradually increased from ooe to 8 ⁰C, How does the volume x change with change in temperature ?