MEDIUM
JEE Advanced
IMPORTANT
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A lead bullet penetrates into a solid object and melts. Assuming that 50 % of its kinetic energy was used to heat it, calculate the initial speed of the bullet. The initial temperature of the bullet is 27 °C and its melting point is 327 °C. Latent heat of fusion of lead=2.5×104 J kg-1 and specific heat capacity of lead=125 J kg-1 K-1.

Important Questions on Calorimetry and Heat Transfer

MEDIUM
JEE Advanced
IMPORTANT
A ball is dropped on a floor from a height of 2.0 m. After the collision, it rises up to a height of 1.5 m. Assume that 40 % of the mechanical energy lost goes as thermal energy into the ball. Calculate the rise in the temperature of the ball in the collision. The specific heat of the ball is 800 J K-1 [Take g=10 m s-2].
MEDIUM
JEE Advanced
IMPORTANT
A ball is dropped on a floor from a height of 2.0 m. After the collision, it rises up to a height of 1.5 m. Assume that 40 % of the mechanical energy lost goes as thermal energy into the ball. Calculate the rise in the temperature of the ball in the collision. The specific heat of the ball is 800 J K-1.
EASY
JEE Advanced
IMPORTANT
A nuclear power plant generates 500 MW of waste heat that must be carried away by water pumped from a lake. If the water temperature is to rise by 10 °C, what is the required flow rate in kg s-1?
EASY
JEE Advanced
IMPORTANT
The emissivity of tungsten is 0.4. A tungsten sphere with a radius of 4.0 cm is suspended within a large evacuated enclosure whose walls are at 300 K. What power input is required to maintain the sphere at a temperature of 3000 K, if heat conduction along the supports is neglected? Take σ=5.67×10-8 W m-2 K-4.
EASY
JEE Advanced
IMPORTANT
A pot with a steel bottom 1.2 cm thick, rests on a hot stove. The area of the bottom of the pot is 0.150 m2. The water inside the pot is at 100°C and 0.440 kg are evaporated every 5.0 min. Find the temperature of the lower surface of the pot which is in contact with the stove. Take Lv=2.256×106 J kg-1 and ksteel=50.2 W m-1 K-1.
EASY
JEE Advanced
IMPORTANT
A carpenter builds an outer house wall with a layer of wood 2.0 cm thick on the outside and a layer of an insulation 3.5 cm thick as the inside wall surface. The wood has K=0.08 W m-1 K-1 and the insulation has K=0.01 W m-1 K-1. The interior surface temperature is 19 °C and the exterior surface temperature is -10 °C.
(a) What is the temperature at the plane where the wood meets the insulation?
(b) What is the rate of heat flow per square metre through this wall?
EASY
JEE Advanced
IMPORTANT
A closed thermally insulated vessel contains 100 g of water at 0°C. If air from this vessel is rapidly pumped out, intensive evaporation will produce cooling and as a result of this, water freezes. How much ice will be formed by this method, if latent heat of fusion is 80 cal g-1 and of evaporation 560 cal g-1?
MEDIUM
JEE Advanced
IMPORTANT
In a container of negligible mass, 140 g of ice, initially at -15 °C, is added to 200 g of water that has a temperature of 40 °C. If no heat is lost to the surroundings, what is the final temperature of the system and masses of water and ice in the mixture?