MHT CET · Physics · Thermodynamics

Heat energy is incident on the surface at the rate of \(1000 \mathrm{~J} / \mathrm{min}\). If coefficient of absorption is 0.8 and coefficient of reflection is 0.1 then heat energy transmitted by the surface in 5 minutes is

A \(100 \mathrm{~J}\)
B \(500 \mathrm{~J}\)
C \(700 \mathrm{~J}\)
D \(900 \mathrm{~J}\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(500 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

Let, heat transmitted per minute be \(\mathrm{H}\)
Now,
Energy incident=energy absorbed+energy reflected+energy transmitted
\(\begin{aligned}
& \Rightarrow 1000=0.8 \times 1000+0.1 \times 1000+\mathrm{H} \\
& \Rightarrow \mathrm{H}=100 \mathrm{~J} / \mathrm{min}
\end{aligned}\)
Heat energy transmitted in 5 minutes \(=100 \times 5=500 \mathrm{~J}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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