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THERMAL PROPERTIES OF MATTER QUIZ-22

Dear Readers,

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Q211. Statement 1: The expanded length l of a rod of original length l_0 is not correctly given by (assuming α to be constant with T) l=l_0 (1+α∆T) if a ∆T is large

Statement 2: It is given by l=l_0 eα∆T, which cannot be treated as being approximately equal to l=l_0 (1+α∆T) for large value a ∆T

  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
211


Q212. Statement 1: Like light radiations, thermal radiation are also electromagnetic radiation

Statement 2: The thermal radiations require no medium for propagation

  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
212(b) Light radiations and thermal radiations both belong to electromagnetic spectrum. Light radiations belong to visible region while thermal radiation belong to infrared region to EM spectrum. Also EM radiations requires no medium for propagation

Q213. Statement 1: Greater is the coefficient of thermal conductivity of a material, smaller is the thermal resistance of a that material

Statement 2: Thermal resistance is the ratio of temperature difference between the ends of the conductor and rate of flow of heat

  •   Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
213(b) (b) R=((θ_1-θ_2))/(ω/t)=l/KA⇒R∝1/K

Q214. Statement 1: As the temperature of the black body increases, the wavelength at which the spectral intensity (E_λ ) is maximum decreases

Statement 2: The wavelength at which the spectral intensity will be maximum for a black body is proportional to the fourth power of its absolute temperature

  •  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
214 (c) From Wein’s law λ_m T= constant i.e., peak emission wavelength λ_m∝1/T. Hence as T increases λ_m decreases

Q215. Statement 1: The bulb of one thermometer is spherical while that of the other is cylindrical. Both have equal amounts of mercury. The response of the cylindrical bulb thermometer will be quicker

Statement 2: Heat conduction in a body is directly proportional to cross-sectional area

  •  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
 215 (a) Both are true and Statement II explains Statement I because for same volume, surface area of the cylindrical bulb will be more

Q216. Statement 1: Two solid cylindrical rods of identical size and different thermal conductivity K_1and K_2 are connected in series. Then the equivalent thermal conductivity of two rods system is less than that value of thermal conductivity of either rod

Statement 2: For two cylindrical rods of identical size and different thermal conductivity K_1 and K_2 connected in series, the equivalent thermal conductivity K is given by 2/K=1/K_1 +1/K_2

  •  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  • Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
216 (d) Equivalent thermal conductively of two identical rods in series is given by 2/K=1/K_1 +1/K_2 If K_1
Q217. Statement 1: A body that is a good radiator is also a good absorber of radiation at a given wavelength

Statement 2: According to Kirchoff’s law the absorptivity of a body is equal to its emissivity at a given wavelength

  •  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
217 (a) According to Kirchoff’s law e_λ/a_λ =E_λ For a particular wavelength E_λ=1⇒e_λ=a_λ ∴ Emissivity = Absorptivity

Q218. Statement 1: Water kept in an open vessel will quickly evaporate on the surface of the moon

Statement 2: The temperature at the surface of the moon is much higher than boiling point of the water

  •  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  Statement 1 is False, Statement 2 is True
Solution
218(c) Water evaporates quickly because of lack of atmospheric pressure, also temperature of moon is much higher during day time but it is very low at night


Q219. Statement 1: Specific heat of a body is always greater than its thermal capacity

Statement 2: Thermal capacity is the required for raising temperature of unit mass of the body through unit degree

  •  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  •  >Statement 1 is False, Statement 2 is True
Solution
219 (d) Specific heat of a body is the amount of heat required to raise the temperature of unit mass of the body through unit degree. When mass of a body is less than unity, then its thermal capacity is less than its specific heat and vice-versa

Q220. Statement 1: The coefficient of volume expansion has dimension K(-1)

Statement 2: The coefficient of volume expansion is defined as the change in volume per unit volume per unit change in temperature


  •  Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1
  •  Statement 1 is True, Statement 2 is False
  • Statement 1 is False, Statement 2 is True
Solution
220 (a) As r=∆V/V∆t, i.e., unit of coefficient of volume expansion is K(-1)
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