एक 100 W वाले प्रकाश बल्ब के लगभग 10% शक्ति को दृश्य विकिरण में परिवर्तित किया जाता है। तो दृश्य विकिरण की औसत तीव्रता क्या है?

(a) बल्ब से 2m की दूरी पर?

(b) 5 m की दूरी पर?

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  1. (a) 0.19 (b) 0.0319
  2. (a) 0.0412 (b) 0.23
  3. (a) 0.398 (b) 0.0398
  4. (a) 0.23 (b) 0.0412

Answer (Detailed Solution Below)

Option 1 : (a) 0.19 (b) 0.0319
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संकल्पना:

दृश्य विकिरण की तीव्रता प्रति इकाई समय, प्रति इकाई क्षेत्रफल उत्सर्जित दृश्य प्रकाश की मात्रा होती है।

\(I = \frac{P}{4\pi r^2}\)

जहाँ P स्रोत की शक्ति है, Pi == दृश्य विकिरण की शक्ति, और r विकिरण के स्रोत से दूरी है।

गणना:

P का 10% = Pi

\(⇒ \frac{10}{100}\times 100 = 10 = P_i\)

⇒ Pi = 10 W

a) दिया गया है r = 2 m

\(I = \frac{P_i}{4\pi r^2}\)

\(⇒I = \frac{10}{4\pi 2^2}\)

⇒ I = 0.19 Watt/m2

b) r = 5m

\(⇒I = \frac{10}{4\pi 5^2}\)

\(⇒I = 0.0318\ W/m^2\)

अतः उत्तर विकल्प (1) है।

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