The given lens is broken into four parts and rearranged as shown. If the initial focal length is \( f \), then after rearrangement the equivalent focal length is â
The given lens is broken into four parts and rearranged as shown. If the initial focal length is \( f \), then after rearrangement the equivalent focal length is â
Show Hint
- \( f \)
- \( \frac{f}{2} \)
- \( \frac{f}{4} \)
- \( 4f \)
The Correct Option is B
Solution and Explanation
Step 1: Understand the lens formula.
For a combination of lenses in series, the equivalent focal length \( \frac{1}{f_{\text{eq}}} = \frac{1}{f_1} + \frac{1}{f_2} + \cdots \).
Step 2: Rearrange the parts of the lens.
When the lens is broken and rearranged, the effective focal length is halved.
Final Answer: \[ \boxed{\frac{f}{2}} \]
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