An air bubble in a glass slab of refractive index 1.5 is 5 cm deep when viewed from one face and 2 cm deep when viewed from the opposite face. The thickness of the slab is cm. (Hint: use (h')/h = (n₂)/(n₁).)

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(1) 10.5. Given: a glass slab of refractive index 1.5; the bubble looks 5 cm deep from one face and 2 cm deep from the other. Idea: looking into a denser medium makes everything seem nearer, by the factor n, so real depth = n× apparent depth. Measured from the first face, the bubble is really 1.5× 5 = 7.5 cm inside the glass. Measured from the opposite face, it is really 1.5× 2 = 3 cm inside. Those two real distances run from opposite faces to the same bubble, so together they span the whole slab. Thickness = 7.5+3 = 10.5 cm.

An air bubble in a glass slab of refractive index 1.5 is 5 cm deep when viewed from one face and 2 cm deep when viewed from the opposite face. The thickness of the slab is ______ cm. (Hint: use (h')/h = (n₂)/(n₁).)

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