Question

A cube of side 15cm is having an air bubble. The bubble appears at 6cm from one face and at 4cm from opposite face .the refractive index of cube is

Answer 1

Explanation:

Let the real depth of the object from one side be x

Then, μ=

6

x

=

4

15−x

Solving for x, gives us,

2x=45−3x

which gives, x=9

Thus, now we can find the value of μ to be =

6

9

=1.5

Answer 2

SoluTion :-

Let the real depth of the object from one side be x

$\sf {\mu=\frac{x}{6} =\frac{15-x}{4} }$

Solving for x, gives us,

$\sf {2x=45-3x}\\\\\sf {2x+3x=45}\\\\\sf {5x=45}\\\\\sf {x = \frac{45}{5} }\\\\\sf {x=9}$

$\sf {\therefore\ The\ value\ of\ \mu\ = \frac{9}{6} =1.5}$