An object \( 2.4 \mathrm{~m} \) in front of a lens forms a sharp image on a film \( 12 \mathrm{~...

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An object \( 2.4 \mathrm{~m} \) in front of a lens forms a sharp image on a film \( 12 \mathrm{~cm} \) behind the lens. A glass plate \( 1 \mathrm{~cm} \) thick, of refractive index \( 1.50 \) is interposed between lens and film with its plane faces parallel to film. At what distance (from lens) should object shifted to be in sharp focus on film
[AIEEE 2012]
(a) \( 7.2 \mathrm{~m} \)
(b) \( 2.4 \mathrm{~m} \)
(c) \( 3.2 \mathrm{~m} \)
(d) \( 5.6 \mathrm{~m} \)
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