A Transparent Cube Of 15 Cm Edge Contains A Small Air Bubble. Its Apparent Depth When Viewed Through One Face Is 6 Cm And When Viewed Through The Opposite Face Is 4 Cm. Then The Refractive Index Of The Material Of The Cube Is:   

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Question

A transparent cube of 15 cm edge contains a small air bubble. Its apparent depth when viewed through one face is 6 cm and when viewed through the opposite face is 4 cm. Then the refractive index of the material of the cube is:   

Solution

Correct option is

1.5

 

Let the real depth of the bubble from one side be x. then

                    

Testing

SIMILAR QUESTIONS

Q1

Air has refraction index of 1.0003. The thickness of air column, which will have one more wavelength of yellow light (6000 Å) than in the same thickness of vacuum is: 

Q2

A ray of light travelling inside a rectangular glass block of refractive index  is incident on the glass-air interface at an angle of incidence of 45o. The refractive index of air is one. Under these conditions the ray:

Q3

The critical angle of for light going from medium x into medium y is θ. The speed of light in medium x is v. The speed of light in medium y is:     

Q4

Monochromatic light of wavelength  travelling in a medium of refractive index n1 enters a denser medium of refractive index n2. The wavelength in the second medium is:    

Q5

When seen in green, the saffron and green portions of our national flag will appear to be: 

Q6

Light travels through a glass plate of thickness t and having refractive indexμ. If c be the velocity of light in vacuum, the time taken by the light to travel this thickness of glass is:

Q7

 are the electric permittivity and the magnetic permeability in a free space, ε and μ are the corresponding quantities in the medium, the index of refraction of the medium is:

Q8

A perfectly reflecting mirror has an area of 1 cm2. Light energy is allowed to fall on it for one hour at the rate of 10 W/cm2. The force that acts on the mirror is: 

Q9

A point source of light is placed 4 m below the surface of water of refractive index 5/3. The minimum diameter of a disc, which should be placed over the source, on the surface of water to cut off all light coming out of water is:

Q10

Time taken by sunlight to pass through a window of thickness 4 mm whose refractive index is 1.5 is: