Embibe Experts Solutions for Chapter: Thermal Properties of Matter, Exercise 1: JEE Advanced Paper 2 - 2014

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Embibe Experts Physics Solutions for Exercise - Embibe Experts Solutions for Chapter: Thermal Properties of Matter, Exercise 1: JEE Advanced Paper 2 - 2014

Attempt the free practice questions on Chapter 11: Thermal Properties of Matter, Exercise 1: JEE Advanced Paper 2 - 2014 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Thermal Properties of Matter, Exercise 1: JEE Advanced Paper 2 - 2014 with Hints & Solutions

HARD
JEE Advanced
IMPORTANT

A container with 1 kg of water in it is kept in sunlight, which causes the water to get warmer than the surroundings. The average energy per unit time per unit area received due to the sunlight is 700 W m-2 and it is absorbed by the water over an effective area of 0.05 m2. Assuming that the heat loss from the water to the surroundings is governed by Newton's law of cooling, the difference (in C) in the temperature of water and the surroundings after a long time will be_________. (Ignore effect of the container, and take constant for Newton's law of cooling =0.001 s-1, Heat capacity of water =4200 J kg-1 K-1)

(Approximate the answer to two decimal place)

HARD
JEE Advanced
IMPORTANT

The ends Q and R of two thin wires, PQ and RS, are soldered (joined) together. Initially each of the wires has a length of 1 m at 10°C. Now the end P is maintained at 10°C, while the end S is heated and maintained at 400°C. The system is thermally insulated from its surroundings. If the thermal conductivity of wire PQ is twice that of the wire RS and the coefficient of linear thermal expansion of PQ is 1.2×10-5 K-1, the change in length of the wire PQ is

HARD
JEE Advanced
IMPORTANT

A small object is placed at the centre of a large evacuated hollow spherical container. Assume the container is maintained at 0 K. At time t=0, the temperature of the object is 200 K. The temperature of the object becomes 100 K at t=t1 and 50 K at t=t2. Assume the object and the container to be ideal black bodies. The heat capacity of the object does not depend on temperature. The ratio t2t1 _________ .

HARD
JEE Advanced
IMPORTANT

The filament of a light bulb has surface area 64 mm2. The filament can be considered as a black body at temperature 2500 K emitting radiation like a point source when viewed from far. At night the light bulb is observed from a distance of 100 m. Assume the pupil of the eyes of the observer to be circular with radius 3 mm. Then:

(Take Stefan-Boltzmann constant =5.67×10-8 W m-2 K-4, Wiens' displacement constant =2.90×103 m K, Planck's constant =6.60×1034 J s, speed of light in vacuum =3.00×108 ms1)

HARD
JEE Advanced
IMPORTANT

A current carrying wire heats a metal rod. The wire provides a constant power P to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature T in the metal rod changes with time t as: Tt=T01+βt14
, where β is a constant with appropriate dimension while T0 is a constant with dimension of temperature. The heat capacity of the metal is:

HARD
JEE Advanced
IMPORTANT

A liquid at 30 oC is poured very slowly into a Calorimeter that is at temperature of 110 oC. The boiling temperature of the liquid is 80 oC. It is found that the first 5 gm of the liquid completely evaporates. After pouring another 80 gm of the liquid the equilibrium temperature is found to be 50 oC. The ratio of the Latent heat of the liquid to its specific heat will be ______  oC.

[Neglect the heat exchange with surrounding]

MEDIUM
JEE Advanced
IMPORTANT

Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T1=300 K and T2=100 K as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are K1 and K2, respectively. If the temperature at the junction of the two cylinders in the steady state is 200 K, then K1/K2 is

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HARD
JEE Advanced
IMPORTANT

A human body has a surface area of approximately 1 m2. The normal body temperature is 10 K above the surrounding room temperature T0 . Take the room temperature to be T0=300 K . For  T0=300 K, the value of σT4=460 W m-2(where σ is the Stefan-Boltzmann constant). Which of the following options is/are correct?