Question

A ray of light falls on a transparent glass slab with refractive index (relative to air) of 1.62. The angle of incidence for which the reflected and refracted rays are mutually perpendicular is: 

Solution

Correct option is

 mu equals fraction numerator sin space t over denominator sin space r space end fraction space space a n d space space t space plus space r space equals space 90 to the power of 0
o r space space space space space space r space equals space 90 space minus space t space
space space space space mu space equals space fraction numerator sin space t space over denominator sin space left parenthesis 90 space minus space t right parenthesis end fraction equals tan space t
o r space space space t equals tan to the power of negative 1 end exponent left parenthesis mu right parenthesis equals tan to the power of negative 1 end exponent left parenthesis 1.62 right parenthesis

SIMILAR QUESTIONS

Q1

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:    

Q2

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

Q3

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:

Q4

 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:

Q5

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: 

Q6

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:

Q7

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:   

Q8

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

Q9

A ray of light is incident on the surface of separation of a medium with the velocity of light at an angle 45o and is refracted in the medium at an angle 30o. What will be the velocity of light in the medium

Q10

A concave mirror of focal length f produces an image n times the size of the object. If the image is real, then the distance of the object from the mirror is: