6 सेमी व्यास की एक वस्तु को +5.0 D की क्षमता वाले लेंस के सामने 10 सेमी की दूरी पर रखा जाता है। वस्तु के प्रतिबिंब का व्यास होगा:

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RRB Group D 17 Sept 2022 Shift 3 Official Paper
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  1. 12 सेमी 
  2. 10 सेमी 
  3. 8 सेमी 
  4. 14 सेमी 

Answer (Detailed Solution Below)

Option 1 : 12 सेमी 
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Detailed Solution

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सही उत्तर विकल्प 1)12सेमी है

दिया गया:

\(do=6cm,u=-10cm\) एक लेंस की जिसकी शक्ति +5.0 D है।

सूत्र:

लेंस की शक्ति: \(P={1\over f}\)

लेंस सूत्र: \({1\over f}={1\over v}-{1\over u}\)

गणना:

\(P={1\over f}\)

\(f={1\over P}={1\over5}=0.2m=20cm\)

\({1\over f}={1\over v}-{1\over u}\)

\({1\over 20}={1\over v}-{1\over -10}\)

\({1\over v}={1\over 20}+{1\over -10}={20-10\over200}\)

\(v={200\over 10}=-20cm\)

हम जानते हैं कि, लेंस का आवर्धन:

\(m={di\over do}={v\over u}\)

\({di\over 6}={-20\over -10}=2\)

\(di=6*2=12cm\)

इसलिए, छवि का व्यास 12 सेमी है।

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