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JEE Main 2026 (5 Apr, Shift 1) · Optical Instruments & the Eye

Optical Instruments & the Eye question from JEE Main 2026 (5 Apr, Shift 1)

Q7JEE Main 2026 · 5 APR · SHIFT 1Difficult

Optical Instruments & the Eye

A compound microscope is designed with two symmetric biconvex lenses. The objective lens is cut vertically, creating two identical plano-convex lenses. One of them is used in place of original objective lens. To retain same magnification keeping the object distance unchanged, the tube length has to be

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Answer: (a)

  1. Lens maker: biconvex 1f=(μ−1)2R\dfrac{1}{f} = (\mu - 1)\dfrac{2}{R}; plano-convex 1f′=(μ−1)1R\dfrac{1}{f'} = (\mu - 1)\dfrac{1}{R}, so f′=2fof' = 2f_o.
  2. Normal adjustment: M=Lfo⋅DfeM = \dfrac{L}{f_o} \cdot \dfrac{D}{f_e}.
  3. For the same MM with fo→2fof_o \to 2f_o, LL must become 2L2L.
  4. So the answer is (a) increased two times.
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