A dot on a paper appears to be raised by $2 c m$ when viewed normally through a glass slab placed on it. Calculate the thickness of the glass slab if its refractive index is $\frac{3}{2}$ .

3 c m

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3 m

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6 c m

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6 m

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Solution

The correct option is C $6 c m$
It is given that vertical shift is 2 cm and we know that
vertical shift $δ = t (μ - 1)$ [OR]
$μ = \frac{r e a l d e p t h}{a p p a r e n t d e p t h}$
and $a p p a r e n t d e p t h = R - 2$
Hence $\frac{3}{2} = \frac{R}{R - 2}$
$3 R - 6 = 2 R$
$R = 6 c m$
Hence glass slab is 6 cm thick.

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A dot on a paper appears to be raised by 2cm when viewed normally through a glass slab placed on it. Calculate the thickness of the glass slab if its refractive index is 32.

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A dot on a paper appears to be raised by $2 c m$ when viewed normally through a glass slab placed on it. Calculate the thickness of the glass slab if its refractive index is $\frac{3}{2}$ .