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Q22.An object 2.4 m in front of a lens forms a sharp image on a film 12 cm behind the lens. A glass plate 1 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 be shifted to be in sharp focus on film? (1) 7.2 m (2) 2.4 m (3) 3.2 m (4) 5.6 m

What This Question Tests

This problem requires applying the lens formula to find the focal length, calculating the apparent shift caused by a glass slab placed in the image path, and then using the shifted image position to find the new object distance.

Concepts Tested

Lens formulaReal image formationApparent shift due to glass slabSign conventions

Formulas Used

1/f = 1/v - 1/u

Shift = t(1 - 1/ฮผ)

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