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JEE Advanced 2013Paper 2
Exam
JEE Advanced
Year
2013
Paper
Paper 2
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Advanced 2013 · Paper 2 · Physics · Thermal Properties of Matter

The figure below shows the variation of specific heat capacity ( C...

The figure below shows the variation of specific heat capacity (CC) of a solid as a function of temperature (TT). The temperature is increased continuously from 00 to 500K500K at a constant rate. Ignoring any volume change, the following statement (s) is (are) correct to a reasonable approximation.
The figure below shows the variation of specific heat capacity ( C ) of a solid as a function of temperature ( T ). The

Options

  1. AThe rate at which heat is absorbed in the range 0−100K0 - 100K varies linearly with temperature T.
  2. BHeat absorbed in increasing the temperature from 0−100K0 - 100K is less than the heat required for increasing the temperature from400−500K400 - 500K.
  3. CThere is no change in the rate of heat absorption in the range 400−500K400 - 500K.
  4. DThe rate of heat absorption increases in the range 200−300K200 - 300K.

Correct answer

A. The rate at which heat is absorbed in the range 0−100K0 - 100K varies linearly with temperature T.

Step-by-step solution

q=mCT\text{q} = \text{mCT}
dqdt=mcdTdt\dfrac{\text{dq}}{\text{dt}} = \text{mc} \dfrac{\text{dT}}{\text{dt}}
R = rate of absorption of heat =dqdt∝C= \dfrac{\text{dq}}{\text{dt}} ∝ \text{C}
(i) in 0−100K0 - 100K
The graph between (0−100K0 - 100K) appears to be a straight line upto a reasonable approximation.
(ii) Δq=mCΔT\Delta \text{q} = \text{mC} \Delta \text{T} as C is more in (400−500K400 - 500K) then (0−100K0 - 100K) so heat is increasing.
(iii) C remains constant so there no change in R from (400−500K400 - 500K)
(iv) C is increases so R is increases in range (200−300K200 - 300K)
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