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NEET
Exam
NEET
Subject
Physics
Chapter
Thermal Properties of Matter

NEET · Physics · Thermal Properties of Matter

The graph shown in the adjacent diagram represents the variation of...

The graph shown in the adjacent diagram represents the variation of temperature (T)( T ) of two bodies xx and yy having the same surface area, with time (tt). Both of these bodies lose heat only due to the emission of radiation. Find the correct relation between the emissive and absorptive power of the two bodies.

The graph shown in the adjacent diagram represents the variation of temperature ( T ) of two bodies x and y having the

Options

  1. AEx>Eyandax<ay{E}_{x} > {E}_{y}and{a}_{x} < {a}_{y}
  2. BEx<Eyandax>ay{E}_{x} < {E}_{y}and{a}_{x} > {a}_{y}
  3. CEx>Eyandax>ay{E}_{x} > {E}_{y}and{a}_{x} > {a}_{y}
  4. DEx<Eyandax<ay{E}_{x} < {E}_{y}and{a}_{x} < {a}_{y}

Correct answer

C. Ex>Eyandax>ay{E}_{x} > {E}_{y}and{a}_{x} > {a}_{y}

Step-by-step solution

Rate of cooling (−dTdt)∝\left(- \dfrac{dT}{dt}\right) ∝ emissivity \left(e\right)<br/><br/>Fromthegraph,<br/><br/><br/><br/>From the graph,<br/><br/>{\left(- \dfrac{dT}{dt}\right)}_{x} > {\left(- \dfrac{dT}{dt}\right)}_{y}<br/><br/><br/><br/>∴ {e}_{x} > {e}_{y}<br/><br/>Furtheremissivity(<br/><br/>Further emissivity (e))∝absorptivepower(absorptive power (a)(goodabsorbersaregoodemittersalso)<br/><br/>) (good absorbers are good emitters also)<br/><br/>∴ {a}_{x} > {a}_{y}
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