Given that ' $x$ ' joule of heat is incident on a body. Out of that, total heat reflected and transmitted is…

Given that ' $x$ ' joule of heat is incident on a body. Out of that, total heat reflected and transmitted is ' $y$ ' joule. The absorption coefficient of body is-
  1. $\frac{x}{y}$
  2. $\frac{y}{x}$
  3. $\frac{x-y}{x}$
  4. $\frac{y-x}{x}$

Solution

$\begin{array}{ll} & \mathrm{Q}=\mathrm{x}, \mathrm{Q}_{\mathrm{r}}+\mathrm{Q}_{\mathrm{t}}=\mathrm{y} \\ & \mathrm{Let} \mathrm{L}, \mathrm{Q}=\mathrm{Q}_{\mathrm{a}}+\mathrm{Q}_{\mathrm{r}}+\mathrm{Q}_{\mathrm{t}} \\ \therefore \quad & \mathrm{x}=\mathrm{Q}_{\mathrm{a}}+\mathrm{y} \Rightarrow \mathrm{Q}_{\mathrm{a}}=\mathrm{x}-\mathrm{y} \end{array}$ $\therefore \quad$ Coefficient of absorption, $a=\frac{Q_a}{Q}=\frac{x-y}{x}$

Asked in: MHT CET 2024 (03 May Shift 1)

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