Question

A small object is placed at the centre of the bottom of a cylindrical vessel of radius 3 cm and height 4 cm filled completely with water, Consider the ray leaving the vessel through a corner. Suppose this ray and the ray along the axis of the vessel are used to trace the image. Find the apparent depth of the image and the ratio of real depth to the apparent depth under the assumptions taken. Refractive index of water = 1.33

                                                                                                                      

Solution

Correct option is

1.78

 

 

           

           

                       

SIMILAR QUESTIONS

Q1

Two thin similar convex glass pieces are joined together front to front, with its rear portion silvered such that a sharp image is formed 0.2 m for an object at infinity. When the air between the glass pieces is replaced by water (μ = 4/3), find the position of image.

Q2

When a lens is inserted between an object and a screen which are a fixed distance apart the size of the image is either 6 cm or 2/3 cm. find size of the object

Q3

 

Light is incident normally on the short face of a 30o – 60o – 90oprism. A liquid is poured on the hypotenuse of the prism. If the refractive index of the prism is √(3,) find the maximum refractive index of the liquid so that light is totally reflected

                                                                                              

 

Q4

A ray of light passing through a prism having refractive index √(2) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. what is the angle of prism?

Q5

 In a glass sphere, there is a small bubble 2 ×10-2 m from its centre. If the bubble is viewed along a diameter of the sphere, from the side on which it lies, how far from the surface will it appear? The radius of glass sphere is 5 ×10-2 m and refractive index of glass is 1.5

Q6

 

Considering normal incidence of ray, the equivalent refractive index of combination of two slabs shown in figure is

                                                                                    

Q7

A ray of light falls on a transparent glass slab of refractive index 1.62. What is the angle of incidence, if the reflected ray and refracted ray are mutually perpendicular?

                                                                                         

Q8

Calculate the refractive index of glass with respect to water. It is given that refractive indices of glass and water with respect to air are 3/2 and 4/3 respectively

Q9

The refractive index of the medium, if a light wave has a frequency of  and a wavelength of  metres in a medium, will be

Q10

 

A convex lens has a focal length of 10 cm. Find the location and nature of the image if  point object is placed on the principal axis at a distance of (a) 9.8 cm, (b) 10.2 cm from the lens.