Question:
When \(170\) J of energy is incident on a surface of a body, \(17\) J of energy is reflected by it. If the coefficient of absorption is \(0.7\), then the amount of energy transmitted will be
When \(170\) J of energy is incident on a surface of a body, \(17\) J of energy is reflected by it. If the coefficient of absorption is \(0.7\), then the amount of energy transmitted will be
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Reflection, absorption and transmission coefficients add up to 1.
Updated On: Oct 1, 2026
- \(3.4\) J
- \(11.9\) J
- \(34.0\) J
- \(119.0\) J
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The Correct Option is C
Solution and Explanation
Step 1: Reflection Coefficient:
\(r=\dfrac{17}{170}=0.1\).
Step 2: Sum Rule:
\(r+a+t=1\). With \(a=0.7\): \(t=1-0.1-0.7=0.2\).
Step 3: Transmitted Energy:
\(0.2\times170=34.0\) J.
Step 4: Check the Options:
3.4 J would be \(0.02\), 11.9 J is the absorbed energy \(0.07\times170\) with a decimal slip, and 119 J is the absorbed energy \(0.7\times170\). Only 34.0 J matches the transmission coefficient.
Final Answer:
The transmitted energy is 34.0 J, option (C). \[ \boxed{\text{(C) } 34.0\ \text{J}} \]
\(r=\dfrac{17}{170}=0.1\).
Step 2: Sum Rule:
\(r+a+t=1\). With \(a=0.7\): \(t=1-0.1-0.7=0.2\).
Step 3: Transmitted Energy:
\(0.2\times170=34.0\) J.
Step 4: Check the Options:
3.4 J would be \(0.02\), 11.9 J is the absorbed energy \(0.07\times170\) with a decimal slip, and 119 J is the absorbed energy \(0.7\times170\). Only 34.0 J matches the transmission coefficient.
Final Answer:
The transmitted energy is 34.0 J, option (C). \[ \boxed{\text{(C) } 34.0\ \text{J}} \]
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