If a coin is placed at the bottom of a tumbler of height 30 cm filled with water of refractive index 1.33, then the apparent depth of the coin appears to be:

Correct option is D

​The correct answer is (d) 22.6 cm.

Correct Answer Explanation:

• The apparent depth of an object submerged in a medium with a refractive index can be calculated using the formula:

Apparent Depth=     ​$$\frac{\text{Real Depth}}{\text{Refractive Index}}$$​​

• In this case:
• Real Depth (h) = 30 cm (height of the water)
• Refractive Index (n) = 1.33 (for water)
• Substituting the values into the formula:

Apparent depth =   $$\frac{30}{1.33}$$​​

• Therefore, the apparent depth of the coin appears to be approximately 22.6 cm.

Information Booster:

Refraction and Apparent Depth:

·       Refraction is the bending of light as it passes from one medium to another. The apparent depth is always less than the real depth when the object is submerged in water (or any other medium with a refractive index greater than air).

·       The formula for apparent depth is useful in understanding how objects appear when viewed from above the surface of water or other transparent mediums.

Refractive Index:

• The refractive index is a measure of how much the speed of light is reduced inside a medium. A higher refractive index indicates more bending of light.