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If L be the length of a bar magnet then ...

If L be the length of a bar magnet then separation between the two poles is naarly

A

`0/10 L `

B

`6/7 L `

C

`1/3L `

D

`1/2 L `

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The correct Answer is:
To determine the separation between the two poles of a bar magnet when given its length \( L \), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definitions**: - The **geometrical length** of the bar magnet is the total length of the magnet, denoted as \( L \). - The **magnetic length** is the effective distance between the north and south poles of the magnet. 2. **Relate Geometrical Length to Magnetic Length**: - It is known that the magnetic length is approximately \( 0.83 \) to \( 0.85 \) times the geometrical length of the bar magnet. - Therefore, we can express the magnetic length \( L_m \) as: \[ L_m \approx 0.83 \times L \quad \text{or} \quad L_m \approx 0.85 \times L \] 3. **Calculate the Magnetic Length**: - For practical purposes, we can take an average value for the magnetic length. Using \( 0.85 \) as a common approximation, we have: \[ L_m \approx 0.85L \] 4. **Determine the Separation**: - The separation between the two poles of the bar magnet is therefore approximately: \[ \text{Separation} \approx 0.85L \] 5. **Final Answer**: - Thus, the separation between the two poles of the bar magnet is nearly equal to \( \frac{6}{7}L \) since \( 0.85 \) can be approximated as \( \frac{6}{7} \). ### Conclusion: The separation between the two poles of a bar magnet of length \( L \) is approximately \( \frac{6}{7}L \). ---
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