500 KHz आवृत्ति के सिग्नल के लिए आवश्यक एंटीना की लंबाई क्या है?

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ALP CBT 2 Electronic Mechanic Previous Paper: Held on 21 Jan 2019 Shift 2
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  1. 6 km
  2. 150 m
  3. 600 m
  4. 1 km

Answer (Detailed Solution Below)

Option 2 : 150 m
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अवधारणा:

  • सिग्नल संचारण के लिए हमें एक एंटीना या एक एरियल चाहिए।
  • इस एंटीना में सिग्नल की तरंग दैर्ध्य (आयाम में न्यूनतम 1/4) के बराबर आकार होना चाहिए ताकि ऐन्टेना सिग्नल के समय भिन्नता को ठीक से समझ सके।
  • उदाहरण के लिए, यदि हमारे पास आवृत्ति (f) 20 kHz की विद्युत चुम्बकीय तरंग है, तो तरंग दैर्ध्य (λ) 15 km है


गणना:

दिया गया है कि,

आवृत्ति 500 kHz की विद्युत चुम्बकीय तरंगों को प्रेषित किया जाता है, अर्थात

f = 500 kHz

इसलिए एंटीना की न्यूनतम लंबाई = \(\frac{\lambda }{4} = \frac{c}{{4f}}\;\left( {\because c = f\lambda } \right)\)

यहाँ c प्रकाश का वेग है, λ तरंग दैर्ध्य है और f तरंग की आवृत्ति है

∴ एंटीने की लंबाई = \(\frac{{3 \times {{10}^8}}}{{4 \times 5 \times {{10}^5}}} = 150\;m\)

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