Light Energy

Light is a form of energy which travels as an electromagnetic wave. We have already discussed the reflective properties of waves in the previous article about waves, light waves also reflect when they touch an opaque surface. We use light rays for this because these are easier to observe.

Reflection of Light

Ligreflection of rough surfaces.jpght waves follow the same principle as any other wave. When a few parallel light waves strike a smooth, flat surface, it will change direction and move away from the surface, in parallel rays. This is the principle of reflection.

On a rough surface the light rays do reflect but they will be more scattered. The rays will not be parallel to each other.

If a light ray impacts on a plane mirror, which is opaque, then the light will reflect. An imaginary line is formed perpendicular to the surface of the mirror at the point where the ray touches the surface, this straight line is called the normal.reflection

The ray moving towards the mirror is called the incident ray which is incident on the plane mirror and the ray moving away from the mirror is the reflected ray.

The angle formed between the incident ray and the normal is called the angle of incidence, i.

The angle formed between the reflected ray and the normal is called the angle of reflection, r.

The angle of incidence and the angle of reflection is always equal.

Images formed By reflection

When you place a candle in front of the mirror and then look towards the mirror you will be able to see an image of the candle.

An image can be either real or virtual. A virtual image cannot be projected on to a screen. If you place the same candle in front of the wall you will notice that no image is formed on the wall.

A real image can be projected on the a screen. If you place a projector in front of virtual imnage formed by relfection.pngthe wall, and add the tape, then turn on the projector, it will form an image on the wall.

To you, it will appear as if the image is coming from behind the mirror although it is not true. In a diagram, we will show the rays as dotted lines that form the image behind the mirror.

In a diagram, you have to create two rays of light and at the point where the two rays converge an image is formed. Since the image is not really behind the mirror we will say that the image is virtual.

The virtual image will be of the same size as the object from which the light rays are coming from and it will be inverted (it will be back to front) and also will be at the same distance from the mirror as the object.

Refraction of light

All waves can reflect and refract. The reason waves refract is because of the sudden change of speed. Light waves travel fastest in vacuum, while it travels in about the same speed in air as in vacuum.

When it enters another transparent medium or substance that is more dense thanrefraction the medium light is originally travelling in, the light wave slows down and then changes its direction. This change in direction is called refraction.

If you place a transparent glass block on a platform and point a laser light on to it at an angle the light will refract.

You can create a normal here where the light touches the glass block. Measure the angle of incidence. In case of refraction, the angle of refraction is used, which is in  between the refracted ray and the normal.

A point to be noted is that when light enters a denser medium from a less dense medium, the angle of refraction will always be smaller than the angle of incidence.

When the light wave moves from more dense to a less dense medium, its angle of refraction will always be greater than the angle of incidence.

If the light ray is moving straight, perpendicular to the glass block surface, then it will not refract but pass through.

The refractive property depends upon the thickness or, more importantly, the refractive index, n, of the medium that light travels in.

The refractive index is the ratio of the sine of the angle of incidence to the sine of angle of refraction: n = sin i/sin r. This equation is called Snell’s Law which is named after the Dutch scientist Willebrord Snellius known mainly as Snell.

The refractive index of a medium determines the angle of refraction of the light ray. The higher the refractive index, the angle of refraction will always be smaller than the angle of incidence.

If the refractive index is low, then the angle of refraction will be larger than the angle of incidence.

Total internal reflection

When light enters a less dense medium it has a greater angle of refraction than angle of incidence. When the angle of incidence increases then so will the angle of refraction.

total internal reflection.pngThere comes a point when the angle of refraction becomes 90°. At this point the angle of incidence is called the critical angle.

If the critical angle is further increased then the light will obey the laws of reflection. This is because when the light refracts, there is still a small amount of light that is reflected of the surface of the denser medium.

The light at this point is completely reflected which is why this situation is called the total internal reflection.

To find the critical angle we use the equation, c=1/n. c represents critical angle, 1 represents the sine of angle of refraction because angle of refraction is always 90 and sin(90) is always equal to 1, n represents the refractive index.

Lenses

Lenses can either be concave or convex. These lenses have different refractive properties.

The convex lens tend to cause parallel rays of light to refract and converge at a certain point. The concave lens causes parallel rays of light tobiconvex lens refract and diverge.

The point at which the lens converge, an image is formed, and this point is also known as the principle focus or focal point. The distance from between the focal point and the lens is called the focal length.

The image formed might be real or virtual depending upon the lens as well as the distance at which an object is placed. In a concave lens, the imageBiconcave-Lenses formed is always virtual, because the image appears to be coming from across the lens.

We will make dotted lines to see the light converge at a certain point, even though this convergence is imaginary, this will still become a focal point.

 Ray diagrams

To understand this, we can also make a ray diagram. The y-axis of the ray diagram is the lens and the x-axis will be the principle axis.

If an object is placed in front of the lens, light rays will bounce off the object and enter the lens and then refract.

The point at which the light rays will pass through the principle axis, that point will be the principle focus or focal point.

The length from this point to the lens axis will be known as the focal length.  The image will always be formed below the principle axis if the image is real.

To construct the light beams on the diagram, make a light ray from the object to ray diagramthe lens axis parallel to the principle axis and then from the lens axis change its direction towards the principle axis.

Make another ray of light straight through the optical center (the point at which the principle axis and the lens axis meet). This ray of light will not refract at all.

You can also make a third ray of light on the diagram straight through the principle axis, it should touch the lens axis and then it will refract and move parallel to the principle axis.

Real Image formed on ray diagrams

The point at which these rays of light converge, an image is formed. Mark the length of this point to the principle axis and this will be the magnification of the image.

To find the magnification of the image formed we will divide the length of the image to the length of the object. With this we can say that magnification is the ratio of the height of the object to the height of the image; m = hi/ho. m is for magnification, hi is for height of image, ho is the height of object.magnified image

We can also find magnification by dividing the distance of the image from the lens to the distance of the object to the lens; m=v/u. v is for distance of image while u is for distance of object.

The height of the image formed will depend upon the distance of the object from the lens. If the object diminished imageis at the focal point, the image formed will be of the same size as the object.

If the object moves away from the focal point the image will magnify. If the object moves away twice the focal length, the image will diminish.

Virtual Images formed from Lens

In a ray diagram, if you move the object closer to the convex lens, then the rays of light will refract but will not converge, to an observer the image formed will be at the back of the lens.virtual image formed by biconvex lens

On the diagram we would draw dotted lines towards the back of the object to a point where the light rays will converge, here an image is formed, since this is the point where the light is seemingly coming from (it’s not actually) this will make a virtual image which is magnified.

virtual image formed by biconcave lensA concave lens causes the parallel beam of light to diverge. Because the parallel beam of light diverges, straight dotted lines (to represent the imaginary rays of light) are drawn from the diverged rays to converge them on the left of the ray diagram above the principle axis.

The  point where the light converges, that point is where the virtual image is formed.

Energy

Salam (May Allah Bless You). Today I am bringing you guys something pretty basic but I will write down some equations necessary for not only exams but for some practical demonstrations.

Energy

Energy is ability to do work. It is not easy to define energy but this is the closest definition to it. There are various forms of energy which act differently. Such as there is; heat energy, light energy, gravitational potential energy, kinetic energy, sound energy, magnetic energy, electrical energy, nuclear energy etc.

Gravitational Potential Energy

If an object is raised above the ground and you let go of it, it will be pulled down to the ground by the force of gravity which attracts Rocket_Launchall objects. This supports the fact that the heavier an object is and the higher it is raised above the ground the greater the amount of gravitational potential energy it contains. When it falls to the ground, it loses its gravitational potential energy. This can be shown through the equation:

Ep = mgh ;  Gravitational potential energy = mass (m) x gravity (g) x height above ground (h).

The gravity will always be 10 N/kg because this is Earth’s gravitational force, although in exams its value will be given to you.

Chemical energy

batteryPotential energy can be stored in some ways. One type of potential energy is chemical energy. Energy is stored and is slowly utilized when a group of atoms or molecules group together to convert the energy into other form. The energy can be utilized much more quickly depending on the source of energy, such as, a fossil fuel converts its chemical energy into heat energy very quickly when burned.

Kinetic Energy

Kinetic energy is all about movement. The greater the velocity of a moving object the greater kinetic energy it has. This can be shown by the equation:car

Ek = 1/2 mv^2

M is the mass of the object which will be in Kg

V is velocity. As the equation shows, the kinetic energy of an object is the double of the velocity of the object. If the velocity doubles, the kinetic energy quadruples.

Energy conversion

In different cases, energy tends to be converted into different forms. One good example is that if you throw a ball into the sky, it will move far above ground, meaning it will gain a lot of gravitational potential energy. The kinetic energy will also rise at the beginning of the throw but as it rises the kinetic energy decreases as it is converted into the gravitational potential energy. Just as the kinetic energy is converted, the gravitational potential energy also starts to convert into kinetic ballenergy slowly and it gradually falls until its velocity doubles.

The ball does tends to bounce as it touches the ground but each time it touches the ground, the height it gains while soaring into sky lessens during each bounce. This is because some of the energy is lost, also, friction with the gas molecules present in air causes the ball to slow down. If the ball did not lose any energy after each bounce it would keep on bouncing to the same height forever.

Energy transforms into another form. It is neither created nor destroyed. So energy tends to transform from one form to another. Some devices convert one form of  energy into 2 or 3 more forms. Such as a television, transforms electrical energy into sound, light and heat energy. Other devices convert energy into one form only, such as an iron converts electrical energy into heat energy only.

Efficiency

Efficiency is the amount of energy used excluding the amount of energy wasted. Nothing is a 100% efficient, therefore, many devices use only small amount of useful energy. Such as a bulb receiving 100 Joules (J) of energy, it converts only 10 J of it to light energy which is the only purpose of the bulb for providing light.  It converts 90 J of the energy to heat energy. This 90 J is wasted as heat energy is useless in the case of the bulb. We can calculate the efficiency of a device by using the equation;

Efficiency = Useful Energy x 100% / Total energy input.

Efficiency is mainly calculated in percentage. One thing that should be noted here is that the amount of energy input is the exactly equal to energy output. Since energy is not destroyed or broken down, the energy input equals the energy output, it doesn’t matter in which form or in how many number of forms is the input energy converted into, the output will remain equal to input.

Work

In science work means amount of force used to move an object. Such as a crane lifting up an object is actually working as it pulls the object upwards and around. But when the crane is stationary even though it is holding the object in mid-air, it is not working as the object is not being moved. Therefore the equation for work is;

W = F x s

W is work which is expressed in Joules (J)

F is force and will be expressed in Newtons (N)

s is the distance the object moved and is expressed in meters (m).

Power

Power is calculation of amount of work done during an interval of time. It is calculated by the equation;

P = W/t

W is work which is expressed as joules

t is time which is expressed as seconds

P is power which will be expressed in Watts

Sources of Energy

Energy is released from a source. This can be renewable and nonrenewable. Non renewable energy sources releases energy more quickly than renewable sources and runs out. Renewable sources, however, do not run out. These sources of energy are mainly used to generate electrical energy to power modern devices.

Non renewable resources

These include the fossil fuels, crude oil, coal and natural gas. These are combusted to releases heat energy and are more commonly used in thermal power stations which generate electricity from these fuels. The disadvantage for using fossil fuels are:

  • Fossil Fuels are in limited amount and are being used up more than they can be formed by the Earth. These will run out. The world will have to adopt to other coalsources of energy which might not be much helpful as the fossil fuels are.
  • Extracting fossil fuels though mining and quarrying results in damage to environment.
  • Fossil Fuels release a lot pollutants into the air during combustion causing environmental problems such as greenhouse effect and acid rain.

Nuclear energy is developed from the source uranium. This is also a non renewable source of energy. It is not a fossil fuel. It will remain a very helpful source of energy for a long time, longer than fossil fuels, and also does not damages the environment unless such power stations are handled with carelessness. If such stations are to be dismantled during its last stages, it is very difficult as the radioactivity can spread across the environment damaging not only the environment but also the organisms passing though such radioactive zones.

Renewable sources

Renewable sources are wind, light, and water. The light from the sun are used to convert the light energy to electrical energy with the help of silicon chips in the wind powersolar panels. The dams and barriers formed on a river makes an artificial lake. The water flows through the pipes in the dams and turns the turbines forming electricity. The water is also used as a source of energy in tidal form of power generation. There is a barrier formed between two tides. The water from the higher tide is flowed through a pipe containing a turbine. The turbine is moved causing the electrical energy to be formed and the water flows into the lower tide. Wind mills are used for utilizing wind. The kinetic energy from wind moves the turbine from the wind mills producing electrical energy.

These forms of energy can be useful for powering a small area or a single house. But these also limit the amount of electrical energy produced.

Its advantages are:

  • These sources will not run out.
  • Generating electrical energy from such sources is cheaper than non-renewable sources.
  • It causes little amount of damage to environment.

Disadvantages are:

  • Wind and water sources are useless with low kinetic energy as they need to turn the turbines while the sunlight tends to be useful during day rather than at night.
  • The sources formed are all dependent on nature. They are not available all the time.
  • Some power utilizing techniques such as dams and barriers, are useless in countries where there are no fast flowing rivers.
  • These not only use up land but also destroy the scenic beauty of the land. Suppose a 100 windmills are used to power half a city, this means it covers more land than needed. Instead of using up land, one nuclear power station can power just as much area as more than 1000s of windmills can.