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Question: An air bubble in a glass slab \(( \mu = 1.5 )\) is 6 *cm* deep when viewed from one face and 4 *cm* ...

An air bubble in a glass slab (μ=1.5)( \mu = 1.5 ) is 6 cm deep when viewed from one face and 4 cm deep when viewed from the opposite face. The thickness of the glass plate is

A

10 cm

B

6.67 cm

C

15 cm

D

None of these

Answer

15 cm

Explanation

Solution

Let thickness of slab be t and distance of air bubble from one side is x

When viewed from side (1) : 1.5=x6⇒x=9 cm1.5 = \frac { x } { 6 } \Rightarrow x = 9 \mathrm {~cm}

When viewed from side (2)

: 1.5=(t−x)4⇒1.5=(t−9)4⇒t=15 cm1.5 = \frac { ( t - x ) } { 4 } \Rightarrow 1.5 = \frac { ( t - 9 ) } { 4 } \Rightarrow t = 15 \mathrm {~cm}