जब एक विभवमापी प्रयोग में दो सेलों के EMF की तुलना की जाती है, तो संतुलन लंबाई का अनुपात 2 ∶ 5 प्राप्त होता है। यदि सेलो में से एक का EMF 1.2 V है, तो दूसरे सेल का EMF ______ है।

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  1. 4.5 V (या) 6.0 V 
  2. 0.3 V (या) 2.4 V
  3. 3.0 V (या) 6.0 V
  4. 0.48 V (या) 3.0 V

Answer (Detailed Solution Below)

Option 4 : 0.48 V (या) 3.0 V
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दिया गया है:

\(\frac{L_1}{L_2}=\frac{2}{5}\) और \(E_1=1.2V\)

अवधारणा:

विभवमापी का मूल सिद्धांत यह है कि तार के किसी भी खंड में विभवपात (या EMF) तार की लंबाई के सीधे अनुक्रमानुपाती होगी, बशर्ते तार एकसमान अनुप्रस्थ-काट क्षेत्रफल वाला हो और तार के माध्यम से एकसमान धारा प्रवाहित होती है।

  • \(E\propto L\implies E=kL\)

 

स्पष्टीकरण:

\(E\propto L\implies E=kL\)

इसलिए, दोनों सेलों के लिए, \(\frac{E_1}{E_2}=\frac{L_1}{L_2}\)

स्थिति-I -जब EMF, \(E_1=1.2V\) , \(\frac{L_1}{L_2}=\frac{2}{5}\)

  • \(\frac{E_1}{E_2}=\frac{L_1}{L_2}\implies E_2=1.2\times\frac{5}{2}=3V\)

 

स्थिति-II -जब EMF, \(E_2=1.2V\)

  • \(\frac{E_1}{E_2}=\frac{L_1}{L_2}\implies E_1=1.2\times\frac{2}{5}=0.48V\)

 

इसलिए, सही उत्तर \(0.48V\text{or } 3.0V\) है। 

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