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Solve the Previous Problem If the Paperweight is Inverted at Its Place So that the Spherical Surface Touches the Paper.

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प्रश्न

Solve the previous problem if the paperweight is inverted at its place so that the spherical surface touches the paper.

योग
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उत्तर

Given,
Taking the radius of the paperweight as its thickness = 3 cm
Refractive index of the paperweight (μg) = 3/2
Refractive index of the air (μ1) = 1

Image shift is given by: 

\[∆ t = \left( 1 - \frac{1}{\mu} \right)t\] 

\[ = \left( 1 - \frac{2}{3} \right)3\] 

\[ = \left( \frac{1}{3} \right)3\] 

\[   =   1  \text{ cm }\]
The upper surface of the paperweight is flat and the spherical spherical surface is in contact with the printed letter.
Therefore, we will take it as a simple refraction problem.

Hence, the image will appear 1 cm above point A.

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अध्याय 18: Geometrical Optics - Exercise [पृष्ठ ४१५]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 18 Geometrical Optics
Exercise | Q 45 | पृष्ठ ४१५

संबंधित प्रश्न

The figure shows a ray of light falling normally on the face AB of an equilateral glass prism having refractive index`3/2`, placed in water of refractive index `4/3`.Will this ray suffer total internal reflection on striking the face AC? Justify your answer.


Name two factors which affect the critical angle for a given pair of media. State how do the factors affect it.


State two conditions necessary for total internal reflection to occur.


In the given figure PQ and PR are the two light rays emerging from an object P. The ray PQ is refracted as QS. 

 

  1. State the special name given to the angle of incidence ∠PQN of the ray PQ.
  2. What is the angle of refraction for the refracted ray QS?
  3. Name the phenomenon that occurs if the angle of incidence ∠PQN is increased.
  4. The ray PR suffers partial reflection and refraction on the water-air surface. Give reason.
  5. Draw in the diagram the refracted ray for the incident ray PR and hence show the position of image of the object P by the letter P’ when seen vertically from above.  

i) Observe the given figure and answer the following questions.
a) Identify and write the natural process shown in the figure.
b) List the phenomena which are observe in this process.
c) Redraw the diagram and show above phenomena in it.


Define the terms critical angle and total internal reflection. State two conditions necessary for total internal reflection to occur. Write down the relation for the critical angle in terms of refractive index.

Can light be ‘piped’ like sound in a doctor’s stethoscope?


How are critical angles related to the refractive index of the medium?


What is meant by the term ‘critical angle’?


A ray of light passes through a right-angled prism as shown in the figure. State the angles of incidence at the faces AC and BC.


A spherical marble, of refractive index 1.5 and curvature 1.5 cm, contains a tiny air bubble at its centre. Where will it appear when seen from outside?


Solve Numerical example.

From the given data set, determine angular dispersion by the prism and dispersive power of its material for extreme colours. nR = 1.62 nV = 1.66, δR = 3.1°


The twinkling effect of star light is due to ______.


The entire light is reflected back into the denser medium is called ______.


Optical Fibres are based on the phenomenon of dispersion.


What is the phenomenon used in optical fiber? Explain.


A green light is incident from the water to the air-water interface at the critical angle (θ). Select the correct statement. 


The phenomena involved in the reflection of radiowaves by ionosphere is similar to ______.


Observe the given figure of the raindrop and answer the following questions:

  1. Label A and B of the given diagram. Why colour will deviate most.
  2. Name the phenomenon shown in label C.

A light is entering from one medium refractive index `("RI" =5/3)` to another medium at an angle 30°. The angle of refraction for other medium is sin-1 `(5/6)`. then the increase in angle of incidence is ______ such that the ray of light reflected back into the same medium.


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