1. Tardigrade
  2. Question
  3. Physics
  4. A transparent cube of 0.21 m edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is 0.10 m and when viewed from the opposite face if 0.04 m. The actual distance of the bubble from the second face of the cube is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A transparent cube of $0.21\, m$ edge contains a small air bubble. Its apparent distance when viewed through one face of the cube is $0.10\, m$ and when viewed from the opposite face if $0.04\, m$. The actual distance of the bubble from the second face of the cube is

KCETKCET 2006Ray Optics and Optical Instruments

Solution:

$ \text{Refractive index =}\frac{\text{real depth}}{\text{apparent depth}} $
image
$\therefore \frac{x}{0.04}=\frac{0.21-x}{0.10} $
$\Rightarrow 0.21\times 0.04-x\times 0.04=0.10x $
$\Rightarrow x=\frac{0.21\times 0.04}{0.14}$
$=0.06\,m $