Light of Wavelength 5000Å Propagating in Air Gets Partly Reflected from the Surface of Water. How Will the Wavelengths and Frequencies of the Reflected and Refracted Light Be Affected? - Physics


Light of wavelength 5000 Å propagating in air gets partly reflected from the surface of water. How will the wavelengths and frequencies of the reflected and refracted light be affected?



The frequency and wavelength of reflected wave will not change.

The refracted wave will have same frequency.

The velocity of light in water is given by


v = Velocity of light

= Frequency of light

λ = Wavelength of light 

If velocity will decrease, wavelength (λ) will also decrease.

Concept: Refraction
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2014-2015 (March) Delhi Set 2

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A tank is filled with water to a height of 12.5 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.4 cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1.63 up to the same height, by what distance would the microscope have to be moved to focus on the needle again?

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?

Does the apparent depth of a tank of water change if viewed obliquely? If so, does the apparent depth increase or decrease?

A fish which is at a depth of l2 em .in water `(mu = 4/3)` is viewed by an observer on the bank of a lake. Its apparent depth as observed: by the observer is:

a) 3 cm

b) 9 cm

c) 12 cm

d) 16 cm

Is the formula "Real depth/Apparent depth = μ" valid if viewed from a position quite away from the normal?

A narrow beam of light passes through a slab obliquely and is then received by an eye following figure. The index of refraction of the material in the slab fluctuates slowly with time. How will it appear to the eye? The twinkling of stars has a similar explanation.

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A point object is placed at a distance of 30 cm from a convex mirror of focal length 30 cm. The image will form at

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If the light moving in a straight line bends by a small but fixed angle, it may be a case of 
(a) reflection
(b) refraction
(c) diffraction
(d) dispersion.

A pole of length 1.00 m stands half dipped in a swimming pool with water level 50.0 cm higher than the bed. The refractive index of water is 1.33 and sunlight is coming at an angle of 45° with the vertical. Find the length of the shadow of the pole on the bed.

An object P is focussed by a microscope MA glass slab of thickness 2.1 cm is introduced between P and M. If the refractive index of the slab is 1.5, by what distance should the microscope be shifted to focus the object again?

A vessel contains water up to a height of 20 cm and above it an oil up to another 20 cm. The refractive indices of the water and the oil are 1.33 and 1.30 respectively. Find the apparent depth of the vessel when viewed from above.

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.

Locate the image formed by refraction in the situation shown in figure.

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.

A point ‘O’ marked on the surface of a glass sphere of diameter 20 cm is viewed through glass from the position directly opposite to the point O. If the refractive index of the glass is 1.5, find the position of the image formed. Also, draw the ray diagram for the formation of the image.

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

Answer the following question.

Define absolute refractive index and relative refractive index. Explain in brief with an illustration for each.

What is angle of deviation due to refraction?

What is relative refractive index?

Obtain the equation for apparent depth.

Why do stars twinkle?

Explain the reason for glittering of diamond.

What is mirage?

Write a short note on the prisms making use of total internal reflection.

How does an endoscope work?

Derive the equation for acceptance angle and numerical aperture, of optical fiber.

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?

A light travels through water in the beaker. The height of water column is 'h'. Refractive index of water is 'μw'. If c is velocity of light in air, the time taken by light to travel through water will ______.

An object is immersed in a fluid of refractive index 'µ'. In order that the object becomes invisible when observed from outside, it should ______.

The critical angle for a ray of light from glass to air is 'θ' and refractive index of glass with respect to air is 'n'. If a ray of light is incident from air to glass at an angle 'θ', then corresponding angle of refraction is ______.

When a light ray is incident on a prism at an angle of 45°, the minimum deviation is obtained. If refractive index of material of prism is `sqrt2`, then angle of prism will be ______.

`sin  pi/4=1/sqrt2, sin30^circ=cos60^circ=1/2`

The critical angle is maximum when light travels from ______.


When a ray of light is incident normally on one refracting surface of an equilateral prism of refractive index 1.5, the emerging ray ______.


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 ______.

1 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 ______.

Light travels in two media A and B with speeds 1.8 × 108 ms−1 and 2.4 × 108 ms−1 respectively. Then the critical angle between them is:

A ray of unpolarised light is incident on the surface of glass plate of µ = 1.54 at polarising angle, then angle of refraction is

There are certain material developed in laboratories which have a negative refractive index (Figure). A ray incident from air (medium 1) into such a medium (medium 2) shall follow a path given by.

A convex lens made of material of refractive index 1.5 and having a focal length of 10 cm is immersed in a liquid of refractive index 3.0. The lens will behave as ______.


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