Advertisements
Advertisements
प्रश्न
A small pin fixed on a table top is viewed from above from a distance of 50 cm. By what distance would the pin appear to be raised if it is viewed from the same point through a 15 cm thick glass slab held parallel to the table? Refractive index of glass = 1.5. Does the answer depend on the location of the slab?
उत्तर
Actual depth of the pin, d = 15 cm
Apparent depth of the pin = d'
Refractive index of glass, μ = 1.5
Ratio of actual depth to the apparent depth is equal to the refractive index of glass, i.e.
`μ = "d"/"d'"`
∴ d' = `"d"/μ`
= `15/1.5`
= 10 cm
The distance at which the pin appears to be raised = d' − d = 15 − 10 = 5 cm
For a small angle of incidence, this distance does not depend upon the location of the slab.
APPEARS IN
संबंधित प्रश्न
A diver under water, looks obliquely at a fisherman standing on the bank of a lake. Would the fisherman look taller or shorter to the diver than what he actually is?
Does the apparent depth of a tank of water change if viewed obliquely? If so, does the apparent depth increase or decrease?
The refractive index of diamond is much greater than that of ordinary glass. Is this fact of some use to a diamond cutter?
Determine the value of the angle of incidence for a ray of light travelling from a medium of refractive index \[\mu_1 = \sqrt{2}\] into the medium of refractive index \[\mu_2 = 1\] so that it just grazes along the surface of separation.
Why does a diamond shine more than a glass piece cut to the same shape?
Consider the situation in figure. The bottom of the pot is a reflecting plane mirror, S is a small fish and T is a human eye. Refractive index of water is μ. (a) At what distance(s) from itself will the fish see the image(s) of the eye? (b) At what distance(s) from itself will the eye see the image(s) of the fish.
A convex lens of focal length 20 cm and a concave lens of focal length 10 cm are placed 10 cm apart with their principal axes coinciding. A beam of light travelling parallel to the principal axis and having a beam diameter 5.0 mm, is incident on the combination. Show that the emergent beam is parallel to the incident one. Find the beam diameter of the emergent beam.
Choose the correct option.
There are different fish, monkeys, and water of the habitable planet of the star Proxima b. A fish swimming underwater feels that there is a monkey at 2.5 m on the top of a tree. The same monkey feels that the fish is 1.6 m below the water surface. Interestingly, height of the tree and the depth at which the fish is swimming are exactly same. Refractive index of that water must be
Explain the reason for glittering of diamond.
What is looming?
What is Snell’s window?
Obtain the equation for lateral displacement of light passing through a glass slab.
A ray of light travels from air to water to glass and aga in from glass to air. Refractive index of water with respect to air is 'x' glass with respect to water is 'y' and air with respect to glass is 'z'. which one of the following is correct?
An object is immersed in a fluid of refractive index 'µ'. In order that the object becomes invisible when observed from outside, it should ______.
When a ray of light is refracted from one medium to another, then the wavelength changes from 6000Å to 4000Å. The critical angle for the interface will be ______.
Light travels from an optically denser medium 'A' into the optically rarer medium 'B' with speeds 1.8 × 108 m/s and 2.7 × 108 m/s respectively. Then critical angle between them is ______.
(µ1 and µ2 are the refractive indices of media A and B respectively.)
A concave mirror of focal length 'f1' is placed at a distance 'd' from a convex lens of focal length 'f2'. A parallel beam of light coming from infinity parallel to principal axis falls on the convex lens and then after refraction falls on the concave mirror. If it is to retrace the path, the distance 'd' should be ______.
If `"^imu_j` represents refractive index, when a light ray goes from medium i to medium j, then the product `"^2mu_1 xx ^3mu_2 xx ^4mu_3` is equal to ______.
For a rectangular slab, refraction takes place at ______.
The optical density of turpentine is higher than that of water while its mass density is lower. Figure shows a layer of turpentine floating over water in a container. For which one of the four rays incident on turpentine in figure, the path shown is correct?
