An ungraduated thermometer of uniform bore is attached to a centimeter scale and is found to read `10.3 cm` in melting ice, 26.8 cm in boiling water and 6.5 cm in freezing mixture. Calculate the temperature of the freezing mixture.

Resistance of platinum wire in a platinum resistance thermometer at melting ice, boiling water and at a hot bath are 6Omega,6.5Omega and 6.2Omega , respectively. Find temperature of hot bath.

A thermometer graduated accoding linear scale reads a value x_(0) when in contact with boiling water, and X_(0)s//3 when in contact with ice . What is the temperature of an object in .^(@)C , if this thermometer in the contact with the object reads x_(0)//2 ?

On a winter day when the atmospheric temperature drops to -10^(@)C , ice forms on the surface of a lajke. (a) Calculate the rate of increases of thickness of the ice when 10cm of ice is already formed. (b) Calculate the total time taken in forming 10cm of ice. Assume that the temperature of the entire water reaches 0^(@)C before the ice starts forming. Density of water =1000kgm^(-3) , latent heat of fusion of ice =3.36xx10^(5)Jkg^(-1) and thermal conductivity of ice =1.7Wm^(-1) ^(@)C^(-1) . Neglect the expension of water on freezing.

The diameter of a horizontal tube at points A and B are 6 cm and 3 cm, respectively. Two manometer limbs are attached at A and B. When water is allowed to flow through the tube, pressure difference of 10 cm is noted between the limbs. Calculate the rate of flow of water in the tube.

A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed.

(1) Take a few pieces of ice in a glass beaker as shown in figure. (2) Insert the bulb of a thermometer in ice and measure its temperature. (3) Put the beaker on a stand and heat the ice using a burner. (4) Record the temperature using the thermometer after every minute. (5) As the ice is heated,it starts melting. Stir the mixture of ice and water. (6) Continue the heating even after ice starts melting. (7) Draw a graph of temperature versus time. Define boiling point of a liquid. OR What is boiling point of a liquid ?

A well insulated container has a mixture of ice and water, at 0^(@)C . The mixture is supplied heat at a constant rate of 420 watt by switching on an electric heater at time t = 0. The temperature of the mixture was recorded at time t = 150s, 273s and 378s and the readings were 0^(@)C , 10^(@)C and 20^(@)C respectively. Calculate the mass of water and ice in the mixture. Specific heat of water = 4.2 J g^(-1) .^(@)C^(-1) , Specific latent heat of fusion of ice = 336 J g^(-1) . Assume that the mixture is stirred slowly to maintain a uniform temperature of its content.

(1) Take a few pieces of ice in a glass beaker as shown in figure. (2) Insert the bulb of a thermometer in ice and measure its temperature. (3) Put the beaker on a stand and heat the ice using a burner. (4) Record the temperature using the thermometer after every minute. (5) As the ice is heated,it starts melting. Stir the mixture of ice and water. (6) Continue the heating even after ice starts melting. (7) Draw a graph of temperature versus time. Define specific latent heat of fursion. OR What is specific latent heat of fusion? State its units.