HARD
JEE Main
IMPORTANT
Earn 100

At 40°C, a brass wire of 1 mm radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. When the wire is cooled down from 40°C  to 20°C it regains its original length of 0.2 m. The value of M is close to:
(Coefficient of linear expansion and Young’s modulus of brass are 10-5/°C and 1011 N/m2, respectively; g=10 m s-2 )

50% studentsanswered this correctly

Important Questions on Thermal Properties of Matter

MEDIUM
JEE Main
IMPORTANT
When M1 gram of ice at -10oC (specific heat =0.5 cal g-1 -1 ) is added to M2 gram of water at 50 oC, finally no ice is left and the water is at 0 oC . The value of latent heat of ice, in cal g-1 is:
MEDIUM
JEE Main
IMPORTANT
A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longutudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to:
MEDIUM
JEE Main
IMPORTANT
1 kg of water, at 20 °C is heated in an electric kettle whose heating element has a mean (temperature averaged) resistance of 20Ω. The rms voltage in the mains is 200 V. Ignoring heat loss from the kettle, time taken for water to evaporate fully is close to
[ Specific heat of water =4200 J kg-1 °C-1 Latent heat of water =2260 kJ kg-1 ]
MEDIUM
JEE Main
IMPORTANT
A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The thermal conductivity of the material of the inner cylinder is K1 and that of the outer cylinder is K2. Assuming no loss of heat, the effective thermal conductivity of the system for heat flowing along the length of the cylinder is:
MEDIUM
JEE Main
IMPORTANT
A copper ball of mass 100g is at a temperature T. It is dropped in a copper calorimeter of mass 100g, filled with 170g of water at room temperature. Subsequently, the temperature of the system is found to be 75°C. T is given by:
(Given: room temperature =30°C, specific heat of copper =0.1cal g-1 °C-1)
MEDIUM
JEE Main
IMPORTANT
A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temperature increases by ΔT. The net change in its length is zero. Let l be the length of the rod, A its area of cross-section, Y its Young's modulus, and α its coefficient of linear expansion. Then, F is equal to:
EASY
JEE Main
IMPORTANT
In an experiment, a sphere of aluminium of mass 0.20 kg is heated up to 150°C . Immediately, it is put into water of volume 150 cc at 27oC kept in a calorimeter of water equivalent to 0.025 kg . The final temperature of the system is 40oC . The specific heat of the aluminium is(take 4.2 Joule=1 calorie )
EASY
JEE Main
IMPORTANT
200 g water is heated from 40 oC to 60 oC . Ignoring the slight expansion of water, the change in its internal energy is close to (Given specific heat of water =4184 J kg-1 K-1):