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A glass slab of thickness 12 cm is place...

A glass slab of thickness 12 cm is placed on a table. The level surface of the slab has a black spot. At what depth from the upper surface will the spot appear when viewed from above?
(Refractive index of glass = 1.5)

A

2 mm

B

4 mm

C

6 mm

D

8 mm

Text Solution

AI Generated Solution

The correct Answer is:
To find the apparent depth of the black spot when viewed from above the glass slab, we can use the formula for apparent depth in a medium with a refractive index. The formula is given by: \[ \text{Apparent Depth} = \frac{\text{Actual Depth}}{\text{Refractive Index}} \] ### Step-by-Step Solution: 1. **Identify the Given Values**: - Actual Depth (thickness of the glass slab) = 12 cm - Refractive Index of glass (n) = 1.5 2. **Apply the Formula**: - Substitute the values into the formula: \[ \text{Apparent Depth} = \frac{12 \, \text{cm}}{1.5} \] 3. **Calculate the Apparent Depth**: - Perform the division: \[ \text{Apparent Depth} = \frac{12}{1.5} = 8 \, \text{cm} \] 4. **Conclusion**: - The black spot will appear at a depth of 8 cm from the upper surface of the glass slab. ### Final Answer: The spot will appear at a depth of **8 cm** from the upper surface. ---
To find the apparent depth of the black spot when viewed from above the glass slab, we can use the formula for apparent depth in a medium with a refractive index. The formula is given by: \[ \text{Apparent Depth} = \frac{\text{Actual Depth}}{\text{Refractive Index}} \] ### Step-by-Step Solution: ...
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