1.
What is Huygen's Principle?
Christian
Huygens (1629-1695) was a Dutch Physicist who proposed the wave
theory of light long before Maxwell's incredible discoveries.
In 1678, while living in Paris (indeed, many Frenchmen seem to
have studied the nature of light quite extensively), Huygens
published his "Traité de la lumiere" in which he described
this wave theory, and the principle named after him comes from
this text.
Huygens's Principle:
Every point on a
propagating wavefront serves as the source of spherical
secondary wavelets, such that the wavefront at some later time
is the envelope of these wavelets. If the propagating wave has
a frequency, f, and is transmitted through the medium at a
speed, v, then the secondary wavelets will have the same
frequency and speed.
This principle is quite useful,
for from it can be derived the laws of reflection and
refraction [the latter often referred to as Snell's
Law].
2.
How is light formed in a light bulb?
There
are several types of light bulbs and they emit light through
different mechanisms. I'll try to explain how incandescent
light bulbs work.
A regular incandescent light bulb relies on the fact that
all bodies with a temperature greater than absolute zero emit
radiation. This radiation is logically named thermal radiation
and the intensity of radiation emitted at a given wavelength is
a function of the temperature of the body. At low temperatures a
body emits very low intensity radiation, mostly of lower energy
than visible light. The visible light that is emitted is of far
to low intensity to be seen by human eyes. However at high
temperature the intensity of visible light (and other radiation)
emitted by the body increases. Depending on its specific
physical properties a body may emit more or less visible light
at a given temperature. Incandescent light bulbs use a thin wire
called a filament (traditionally made of tungsten, perhaps
currently made of a different material) as a thermal radiation
emitting body. The filament has a very tiny axial diameter (it
is skinny) and therefore a fairly high resistance to current.
When AC current flows through the filament it is heated very
rapidly to a very high temperatures (that is why incandescent
light bulbs are hot) and it emits lots of thermal radiation in
the visible spectrum.
3.
I live in the countryside and I've noticed that when walking home in the twilight the spring blossom on trees--and even a flock of white sheep--appear to almost glow in the near darkness. Is there something special about the twilight that produces this effect or is it just me? It is certainly very beautiful.
This glowing effect is caused by the re-radiation or fluorescence of light at longer (visible) wavelengths from scattered ultraviolet, violet and blue light in the atmosphere. Remember that the daytime sky is blue because of the preferential scattering of blue light known as Rayleigh scattering.
Many flowers fluoresce, and also reflect in near-ultraviolet light. This is beneficial because pollinating insects can see these wavelengths. It is particularly noticeable on flowers of the Geranium family, both the wild species and the cultivated pelargoniums.
Because there is no other
source of light present, the fluorescence shows up proportionately more, giving
rise to the extra-luminous effect described. It is not an optical illusion; it
is a real phenomenon.
4.
The
surfaces of the incandescent light bulbs where I work become progressively
greyer over time. Why?
The greying of the inner surfaces of incandescent bulbs is
the result of gradual evaporation of tungsten from the filament
while the light is on. This evaporation eventually makes the
filament so thin that it burns out.
Various methods
have been developed to reduce greying. Filaments of the
first incandescent lamps burnt in a vacuum, but it was soon
found that introducing inert gas to the bulb reduced the
rate of greying. A mixture of nitrogen and argon is used
today. In addition, "getters"--reactive metals
such as tantalum and titanium--can be placed near the filament
to attract the tungsten so that it is not deposited on the
glass. Alternatively, a small amount of abrasive tungsten
powder can be placed in the bulb. Shaking it occasionally
will remove the grey coating from the surface of the glass.
Greying can
be almost eliminated by introducing a small amount of the
halogens iodine and bromine. As tungsten evaporates from
the filament, it reacts with the halogens which then redeposit
the tungsten on the filament. This keeps the bulb wall clean.
To prevent the tungsten halides from condensing on the bulb
and breaking the cycle, the temperature of the bulb wall
must be at least 500 °C. This is too hot for glass bulbs,
which normally operate at about 150 °C, so fused quartz
(silicon dioxide) must be used instead.
Compared with
ordinary incandescent lamps, quartz-halogen lamps have longer
lives and maintain their light output over time. For example,
a quartz-halogen lamp with a 2000-hour life will have dimmed
by less than 5 per cent by the time it burns out. When an
incandescent lamp with a 1000-hour life burns out, it will
have dimmed by more than 15 per cent.
5.
If
I place two mirrors facing each other and stand between them,
I can see my reflection stretching away into what looks like infinity.
Is this really infinity? How small can my reflection get in this
manner, and can it be said to end in any particular way?
No mirror reflects 100 per cent of the light falling on it.
If your mirror is very good and reflects 99 per cent of the
light, after some 70 reflections only 50 per cent of the light
is left, after 140 reflections only 25 per cent of the light
is left, and so on until none of the light remains to travel
between the two mirrors. In fact, most mirrors reflect some
colours of light much better than others and some colours
are absorbed better by the glass, so the multiple reflections
that you see not only get darker but also more colour-distorted
as they recede towards infinity.
Even with
perfect reflection of all colours you could never see infinite
reflections, for geometric reasons.
First, the
faces of the two mirrors would need to be perfectly parallel.
This is actually impossible to achieve. There will always
be a slight disparity in their positions relative to one
another. Hence the curving nature of such reflections, until
eventually the reflection is lost "around the bend".
Secondly,
even if the mirrors are perfectly reflective, perfectly
parallel, and really huge, your eyes are in the middle of
your head, not on its edge. Therefore, at some point, the
receding and hence apparently more distant mirror images
would become smaller than, and hidden behind, the first
reflected image of your head. Even with a tiny camera and
a giant pair of mirrors, the reducing reflection size would
eventually be smaller than the first reflected image of
the camera apparatus.
6. You read a news paper because of the light that it reflects.
Then why don’t you see your image in the newspaper?
The reflected light from
the newspaper is diffused. Where do these diffused rays go, is
not sure and certain. But on those positions where the letters are imprinted,
the color is generally black, so light is absorbed there. So the brain makes a
distinction there - locations from where light is being reflected (in a diffused
manner) and locations where light is absorbed and from where it is not coming
out.
To see the image of an
object in the newspaper requires a regular and strong reflection. They should
collect in enough quantity after reflection to be able to give and impression to
the brain. This is possible only in an extremely smooth surface, not in a rough
surface like newspaper.
7. Can a plane mirror ever form a real image?
Yes, plane mirror can form a real image when the converging
rays of the virtual object strike on the plane mirror, a real
image of the object is formed.
8. If you are bringing a plane mirror towards your face at
right angles to your face with a speed of 10 ms-1
at what rate is the image approaching?
If the plane mirror is approaching towards the face
with the speed 10ms-1,
the face also moves towards the mirror at the same rate. So,
the relative velocity of the image with respect to the face
is given by 10ms-1
+ (-10ms-1)
= 20ms-1.
Hence the rate at which the image is approaching is 20ms-1.
9. Ground glasses do not produce any images, but plane and
polished glasses do, why?
The image of an object is produced only if the surface gives
the regular reflection, in order to have a good collection of
energy and make an impression on the brain. In the case of the plane and polished
glasses, this is possible while the reflection from
the ground glasses is irregular or diffused. So energy do not
accumulate after reflection. So there is not a good impression reaching the
brain. Hence, ground
glasses do not produce any images but plane and polished
glasses do.
10. Why do the distant images get fainter and fainter when an
object is placed between plane mirrors?
As the object is kept between the two mirrors, it undergoes
multiple reflection to produce the distant object. At each
reflection, the intensity of the incident light gets lost due
to the absorption phenomena. Each reflected beam has lesser
energy than the incident. Hence, the distant images get
fainter and fainter.
11. Can we photograph a virtual image?
Yes, we can photograph a virtual image. The light rays
coming from the virtual image and reaching the camera are real.
Virtual image is produced due to from the reflecting surface
after reflection of real incident rays. So, the real reflected
rays enter the camera to give effects on the photographic
film. Hence, we can photograph a virtual image.
12. What type of mirror is used in a car to enable the driver to
see the traffic behind him?
The type of the mirror used in a car to enable the driver to
see the traffic behind him is the convex mirror. Convex mirror
produces erect and diminished imaged of the object. It also
gives a
wider range of the field of view of the traffic behind. So,
convex mirror is used in a car.
13. If a spherical mirror is immersed in water, does its focal
length change?
As the focal length of the spherical mirror is independent
of the refractive index 'µ'
of the medium. The focal length of the spherical mirror is
given by
f = R/2
where, 'f' is
the focal length and 'R' is the radius of curvature
So, the focal
length does not altered by immersing the mirror into the
water.
14. If an object far away from a convex mirror moves towards the
mirror, the image also moves. Does it move faster, slower or at
the same speed as compared to the object?
If an object
far away from a convex mirror moves towards the mirror, the
image also moves. It moves slower as compared to the object.
Consider the situation -
When the object is at infinity, the mirror would form the image
at the focus. When the object is at
15. Can you tell by looking whether an object is real or
virtual? How can the two be distinguished?
No, the image cannot be distinguished as a real or virtual
by looking. If the image is formed by the actual
intersection of converging
rays of the virtual object on the mirror then the image is
real while if image is formed by the virtual intersection of
the rays, the image is virtual. A real image can be projected
on the screen whereas the virtual image cannot be projected on
the screen.
16. Is it possible to find whether a mirror is plane, concave or
convex from the nature of image of an object? Explain.
Yes, it is possible to find whether a mirror is plane,
concave or convex from the nature of image of an object. If
the image is virtual and the size of the object is equal to
the size of the image i.e. the magnification observed is
always unity then the mirror is plane.
If the size of
the image is larger than the object when the mirror kept
closer to a person is slightly displayed away, then the mirror
is concave mirror.
If the size of
the image is smaller than the object when the mirror kept
closer to a person is slightly displayed away, then the mirror
is convex mirror.
17.
A convex and a concave mirror are fitted on a wall. How will you
distinguish between them without touching?
A concave and a convex mirror are distinguished easily by
viewing the nature of the image produced by it, of the object
without touching it. If the image of the object is magnified
erect image when the object kept close to the mirror then the
mirror is concave
but if a diminished erect image is formed then the mirror is
convex.
18.
Does the focal length of a curved mirror depend on medium in
which it is placed?
No, the focal length of a curved mirror does not depend on
medium in which it is placed.
The focal length of the spherical mirror is given
by
f = R/2
where, f is the focal length and R is the radius of curvature.
So, the focal length does not altered by placing
the spherical mirror into any medium
as the focal length of the spherical mirror is
independent of the refractive index µ of the medium.
19. Is it possible that the absolute refractive index of a
medium to be less than 1?
Absolute refractive index µ of any
medium is given by
µ = c/v
From the above relation, the
velocity of the light in any medium is always less than the
velocity of the light in the air or in the vacuum
(i.e. c>v). So, the
value of µ is always greater than unity. Thus, it is
impossible that the
absolute refractive index µ of any
medium
to be less than 1.
20.
Which color of light travels fastest in a medium?
As the value of the refractive index µ for the red light is minimum
due to its maximum value of the wavelength as compared to the
rest of the colors, the red light travels fastest in the
medium in accordance to the following relation
µ = c/v
where, µ is the refracting
index of the medium.
c is the velocity of the light in air or vacuum.
v is the velocity of the light in the medium and it is given
by the relation
v = f (λ)