Two rods of different materials having coefficients of thermal expansion and Young’s modulii Y1, Y2 respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If the thermal stresses developed in the two rods are equal provided Y1 : Y2 is equal to:
3 : 2
Let l be the original length of the rods. Let them be heated so that the increase in temperature is toC.
Increase in length =
Where is the coefficient of linear expansion of the rod
Stresses are equal for the two rods if
A drilling machine of power P watts is used to drill a hole in copper block of mass M kg. If the specific heat of a copper is s J and 40% of the power is lost due to heating of the machine, the rise in the temperature of the block in T seconds will be (in oC)
A geyser, operating on LPG (liquefied petroleum gas) heats water flowing at the rate of 3.0 litres per minute, from 27oC to 77oC. If the heat of combustion of LPG is , how much fuel in grams is consumed per minute?
A copper block of mass 2 kg is heated to a temperature of 500oC and then placed in a large block of ice at 0oC. What is the maximum amount of ice that can melt? The specific heat of copper is 400 j and latent heat of fusion of water is .
The dimensions of the coefficient of thermal conductivity are
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Two rods A and B of different materials are welded together as shown in Fig. If their thermal conductivities are k1 and k2 , the thermal conductivity of the composite rod will be
A one liter 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 the flask? Given the coefficient of linear expansion of glass oC–1, the coefficient of volume expansion of mercury is oC–1.
A wire of cross-sectional area A at temperature t is held taut with negligible tension between two rigid supports. If the wire is cooled to a temperature what tension is developed in the wire? The coefficient of linear expansion is and the Young’s modulus of the wire is Y.
Two uniform brass rods A and B of length l and 2l and radii 2r and rrespectively are heated to the same temperature. The ratio of the increase in the length of A to that of B is
The water equivalent of a copper calorimeter is 4.5 g. If the specific heat of copper is 0.09 cal.g–1oC–1 the