LECTURE 2: CHAPTER 16: HUMAN EYE

HUMAN EYE:

Eye is one of our most important sense organs. The main parts of the human eye are:

Cornea, Iris, Pupil, Ciliary muscles, Eye lens, Retina, and Optic nerve. 

1. Our eye is shaped like a ball. It has a roughly spherical structure. 

2. Outer coat of eye is white.

3. The front part of the eye is called Cornea. Cornea is made of a transparent substance and it is bulging out. The light coming from an object enters the eye through Cornea. The main function of Cornea is to protect the eye. 

4. Just behind the Cornea, there is  Iris. Iris is the coloured part of the eye. The iris has a hole at its centre which is called pupil. 

5. The eye lens is a convex lens which is behind the pupil. 

6. The eye lens is held in position by ciliary muscles. It controls the eye lens. 

7. The retina is a screen on which the image is formed in the eye. The eye lens focuses the image of an object on the retina. 

8. The optic nerve carries the image formed on retina to the brain. 

WORKING OF THE EYE

1. Light from the object enter Pupil of the eye and fall on the eye lens.

2. The eye lens is a convex lens, so it converges the light rays and produces a real and inverted image of the object on the retina.

3. The retina has a large number of light sensitive cells. 

4. When the image of the object falls on the retina, then the light sensitive cells generate electric signals. 

5. The retina send this electrical signals to the brain through the optic nerve and we are able to see the object.

6. Although the image of an object formed on the retina is inverted but our brain interpret this image as that of an erect image. 

FUNCTION OF IRIS AND PUPIL

The iris automatically adjusts the size  of pupil according to the intensity of light received by the eye from the surroundings. 

RODS AND CONES

Rods are the rod-shaped cells present in the retina of an eye which are sensitive to dim light.

Cones are the cone shaped cells present in the retina of an eye which are sensitive to bright light. Cones also cause the sensation of colour of objects in our eyes. 

BLIND SPOT

Blind spot is a small area of the retina insensitive to light where the optic nerve leaves the eye.

PERSISTENCE OF VISION

The ability of an eye to continue to see the image of an object for a very short duration even after the image has disappeared from view is called persistence of vision. 

RANGE OF VISION OF A NORMAL HUMAN EYE

The farthest point from the eye at which an object can be seen clearly is known as the far point of the eye. The far point of a normal human eye is at infinity. 

The nearest point upto which the eye can see an object clearly without any strain is called near point of the eye. The near point of a normal human eye is at a distance of 25 cm from the eye. 

DEFECTS OF THE EYE

Myopia is the defect of eye due to which a person cannot see e the distant objects clearly though he can see e the nearby objects clearly.

Myopia is corrected by using spectacles containing concave lenses.

Hypermetropia is the defect of eye due to which a person cannot see the nearby objects clearly though he can see the distant objects clearly. 

Hypermetropia is corrected by using spectacles containing convex lenses.

The medical condition in which the lens of eye of a person becomes progressively cloudy resulting in blurred vision is called cataract.

Cataract can be corrected with the help of surgery done on the eye. 

CARE OF THE EYES

1. Wash our eyes at least twice a day with clean water. 

2. We should not read or write in dim light.

3. We should not read by bringing the book too close to our eyes or too far from the eyes.

4. We should raise our eyes from time to time while reading, writing or watching television.

5. We should not rub the eyes with hands to prevent injury to the eyes.

6. In case of any problem we should consult an eye specialist.

7. We should take vitamin A regularly to keep our eyes healthy. 

NIGHT BLINDNESS

The inability of eyes to see properly in dim light during night is called night blindness. 

EYES OF OTHER ANIMALS

1. The eyes of a crab are quite small but they enable the crab to look all around. 

2. Butterflies have large eyes which appear to be made up of thousands of little eyes. They can see all around. 

3. Owl can see very well in the night, but not during the day. 

VISUALLY CHALLENGED PERSONS CAN READ AND WRITE

Those persons who are unable to see are known as visually challenged persons. 

Braille is a written language for the visually challenged persons in which characters like numbers and letters are represented by patterns of raised dots.

LECTURE - 1: CLASS VIII: LIGHT

CLASS VIII   |    SCIENCE    |    CHAPTER 16

     Notes prepared by Subhankar Karmakar

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• Luminous Objects: 

The objects their own light are called luminous objects. 

• Non Luminous Objects:

The objects which do not emit their own light are called non luminous objects. 

We can see the non luminous objectsbecause they reflects light into our eyes. Non luminous objects are also called illuminated objects. 

• Reflection of light

The process of sending back light rays which fall on the surface of an object, is called reflection of light.

• Incident Ray:

The ray of light which falls on the mirror surface is called incident ray. 

• Point of Incidence:

The point at which the incident ray strikes the mirror is called the point of incidence. 

• Reflected Ray:

The ray of light which is sent back by the mirror is called reflected ray.

• Normal at the point of incidence: 

The normal is a line drawn at right angles to the mirror surface at the point of incidence. It can be defined as a line which is perpendicular to the mirror surface at the point of incidence.

• Angle of incidence:

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

• Angle of reflection:

The Angle between reflected ray and normal is called the angle of reflection. 

• Laws of reflection of light:

There are two laws of reflection. They are as follows.

1. According to the first law of reflection, the incident ray, the reflected ray, and the normal at the point of incidence all lie in the same plane. 
2. According to the second law of reflection, the angle of reflection is always equal to the angle of incidence. 

• Special case: 

When a Ray of light falls normally or perpendicularly on the surface of a plane mirror the ray is reflected back along the same path.

• Regular reflection:

In regular reflection, a parallel beam of incident light is reflected as a parallel beam in one direction. Regular reflection of light occurs from smooth surface like that of a plane mirror or highly polished metal surfaces. 

• Diffuse reflection:

In diffuse reflection, a parallel beam of incident light is reflected in different directions. The diffuse reflection of light takes place from rough surfaces like that of paper, cardboard chalk, table, chair, walls and unpolished matter objects.

Both regular reflection as well as diffuse reflection obey laws of reflection.

Formation of image in a plane mirror:

Suppose a small object O is placed in front of a plane mirror MM'. 

1. We take two diverging incident rays OA and OB coming from the object O. These rays strike the mirror at point A and point B. 
2. Draw two normal AN and BN' at point A and point B. 
3. ∠OAN and ∠OBN' are two angles of incident. 
4. Draw ∠NAX = ∠OAN and ∠N'BY = ∠OBN'. Therefore, AX and BY will be the reflected rays respectively. 
5. Extend the rays XA and YB beyond the mirror and they intersect each other at point I.
6. I will be the image of the object O. 

LATERAL INVERSION

In an image formed by a plane mirror, the left side of object appears on the right side in the image whereas the right side of object appears on the left side in the image. This change of sides of an object and its mirror image is called lateral inversion. 

Characteristics of image formed by a plane mirror:

• 1. The image formed by a plane mirror is virtual or unreal.
• 2. The image formed by a plane mirror is behind the mirror. 
• 3. The image formed in a plane mirror is the same distance behind the mirror as the object is in front of it.
• 4. The image formed in a plane mirror is of the same size as the object. 
• 5. The image formed by a plane mirror is erect.
• 6. The image in a plane mirror is laterally inverted. 

• Multiple reflection:

A reflected ray can be reflected again and again. This property of light is extensively used in optical instruments. 

We shall discuss two optical instruments here. 

1. Periscope and 2. Kaleidoscope

• Periscope:

A Periscope is a long, tubular device through which a person can see objects that are out of their direct line of sight. It works on the reflection of light from two plane mirrors are parallel to one another. 

Usefulness: A Periscope gives us a higher view than normal. By using a periscope, we can see the objects on the other side of which cannot be seen by us directly. 

Construction: A Periscope consists of a long tube T having two plane mirrors M₁ and M₂ fitted at its two ends. The two plane mirrors are fitted in such a way that they are parallel to one another and their reflecting surfaces face each other. Each plane mirror makes an angle of 45° with the side of the tube. There are two holes in the Periscope tube, one hole is in front of the top mirror M₁ and the agar hole is in front of the bottom mirror M₂. 

Working of a Periscope:

Light ray from the object enters the Periscope through the upper hole and gets reflected by the top mirror vertically downwards. This reflected ray again strikes the bottom mirror  of the Periscope and reflected again along a horizontal direction and enters the eyes of the viewer. Thus the object can be seen behind an obstacle. 

Some of the uses of Periscope:

• 1. A Periscope is used to see over the heads of a crowd. 
• 2. A Periscope is used by soldiers sitting in a trench or bunker to observe the enemy activities outside over the ground. 
• 3. Epidiascope is used by a navy officer sitting in a submarine to see ships over the surface of water in the sea even though the submarine itself may be submerged under water. 

• Multiple images:

When two plane mirrors are kept inclined at an angle , they can form multiple images of an object. The image of object formed in one plane mirror acts as object for the other plane mirror. It has been found that if two plane mirrors are inclined at an angle x, then the number of images formed in them is given by the formula : 

No. of images formed = (360°/x) - 1

If an object is placed between two parallel plane mirrors facing each other, then theoretically, an infinite number of images should be formed. 

• Kaleidoscope:

The Kaleidoscope is an instrument or toy containing inclined plane mirrors which produce multiple reflections of coloured glass pieces and create beautiful patterns. 

The coloured glass pieces act as objects and the inclined plane mirrors form multiple images of these glass pieces by repeated reflections, which look like beautiful patterns. 

The coloured glass pieces act as objects and the inclined plane mirrors form multiple images of these glass pieces by repeated reflections, which look like beautiful patterns. 

(a pattern produced by kaleidoscope)

• Dispersion of light:

The splitting up of white light into seven colours on passing through a transparent medium like a glass prism is called dispersion of light. 

The formation of spectrum shows that white sunlight is made up of seven colours. The seven colours of the spectrum of white light are: Violet, Indigo, Blue, Green, Yellow, Orange and Red. 

• Sunlight - White or Coloured

The sunlight is referred to as white light. The white sunlight actually consists of seven colours. The fact that white sunlight consists of lights of seven different colours can be shown by using a glass prism as follows. 

Rainbow in sky is a natural phenomenon showing the dispersion of sunlight. 

NUMERICALS ON SIMPLE HARMONIC MOTION

1. A simple harmonic motion is represented by by    x = 10 sin (20t + 0.5), 

Write down its amplitude, angular frequency, frequency, time period and initial phase if displacement is measured in in metres and time in seconds. 

2. A body oscillates with SHM according to the equation, 

x = (5.0 m) cos [(2π rad/s)t + π/4]

At t = 1.5 s, calculate (a) displacement, (b) speed and (c) acceleration of the body. 

3. The equation of a simple harmonic motion is given by , 

y = 6 sin 10π t + 8 cos 10π t, where y is in cm, and t in seconds. Determine the amplitude, period and initial phase. 

4. A body oscillates with SHM according to the equation :

x(t) = 5 cos (2 πt + π/4)

Where t is in second, and x in metres. Calculate, 

(a) displacement at t = 0

(b) time period, (c) initial velocity

5. A spring of force constant  800 N/m has an extension of 5 cm. What is the work done in increasing the extension from 5 to 15 cm?

6. A body executes SHM of time period 8 s. If its mass be 0.1 kg, its velocity 1 second after it passes through its mean position be 4 m/s, find its (i) kinetic energy (ii) potential energy and (iii) total energy. 

7. A particle is executing SHM of amplitude A. At what displacement from the mean position, is the energy half kinetic and half potential?

8. What is the length of a second pendulum? 

(A second pendulum is a pendulum with a time period of 2 s). 

LECTURE 1: CLASS 12: ATOMS

CLASS - X : ELECTRIC POWER AND HEATING EFFECT OF ELECTRIC CURRENT

LECTURE - 1: CLASS - X: MAGNETIC EFFECT OF ELECTRIC CURRENT

LECTURE - 1 : CLASS IX : SCIENCE : CHAPTER 4 : WORK AND ENERGY

WORK:

What is done when a force produces motion. 

The work done by a force on a body depends on two factors. 

(i) magnitude of the force, and

(ii) distance/displacement through which the body moves in the direction of force. 

Work done in moving a body is equal to the product of force exerted on the body and the distance/displacement moved by the body in the direction of the force.

Work = Force x distance/displacement moved the direction of force.

W = F x S

Unit of work

The SI unit of work is Joule.

1 joule of work= When a force of 1 Newton moves a body through a distance of 1 m in its own direction then the work done is known as 1 Joule. 

Work is a scalar quantity.

Work done against gravity

Whenever work is done against gravity, the amount of work done is equal to the product of weight of the body and the vertical distance through which the body is lifted. 

Work done in lifting a body = weight of body x vertical distance

W = m x g x h = mgh

W= work done, m= mass of the body, g = acceleration due to gravity, h = height through which the body is lifted. 

1. How much work is done by a force of 10 N in moving and objects through a distance of 1 m in the direction of force?

Soln. We know work done W = F x s

Here, F = 10 N , s = 1 m

So, Work done = 10 x 1 J = 10 J

2. Calculate the work done in lifting 200kg of water through a vertical height of 6 m (g = 10 m/s²).

Soln. We know work done against gravity, 

W = mgh

Here, mass of water, m = 200 kg

Acceleration due to gravity, g = 10 m/s²

And height, h = 6 m

W = 200 x 10 x 6 = 12000 J = 12 kJ

3. A car weighing 1000 kg and travelling at 30 m/s stops at a distance of 50 m decelerating uniformly. What is the force exerted on it by the brakes? What is the work done by the brakes?

WORK DONE BY A FORCE ACTING OBLIQUELY

When the movement of the body is at an angle to the direction of the applied force, then the work done in pulling the body will be equal to the horizontal component of the force (F cosθ) and the displacement of the body. 

W = F cosθ x s

F = applied force, 

θ= angle between the direction of force and the direction of motion, 

s = displacement. 

When the force acts at right angles to the direction of motion (zero work)

When the displacement of the body is perpendicular (at 90°) to the direction of force no work is done.

W = F cosθ x s  

θ = 90°  but cos 90° = 0

W = 0

To keep a body moving in a circle there must be a force acting on it is directed towards the centre this force is called centripetal force. The work done on a body moving in a circular path by the centripetal force is zero.

The work done in the case of earth moving around the sun is zero as well as the work done in the case of a satellite moving around the earth is also zero. 

Work done when the force acts opposite to the direction of motion (negative work)

If the angle between the direction of force and the direction of motion is 180° , then the work done is negative. 

As cos θ = cos 180° = - 1

W = F cos 180° x s = - F x s

Positive, Negative and Zero Work

The work done by a force can be positive, negative or zero. 

1. Work done is positive when a force acts in the direction of motion of the body.

2. Work done is negative and a force acts opposite to the direction of motion of the body.

3. Work done is zero when a force acts at right angles to the direction of motion of the body. 

Examples of positive, negative and zero work

1. We kick a football lying on the ground, then the football stars moving. Here,  we have the applied force in the direction of the motion of football. So the work done on the football in this case is positive.

2. A football moves on the ground slows down gradually and ultimately stops. This is because a force due to friction of the ground acts on the football. The force of friction acts in a direction opposite to the direction of motion of football. So in this case the work done by the force of friction on the football is negative.

3. The satellite move around the earth in a circular path. In this case, the gravitational force of earth acts on the satellite at right angles to the direction of motion of satellite. So the work done by the Earth on the satellite moving around it in circular path is zero.

ENERGY: The ability to do work is called energy. The amount of energy possessed by a body e is equal to the amount of work it can do to where its energy is released. Energy is a scalar quantity. 

UNIT OF ENERGY: The SI unit of energy is Joule (J). The energy required to do one joule of work is called 1 Joule of energy. 

1 kilo Joule (1 kJ) = 1000 J

DIFFERENT FORMS OF ENERGY:

The main forms of energy are

1. Kinetic energy, 2. Potential energy, 3. Chemical energy, 4. Heat energy, 5. Light energy, 6. Sound energy, 7. Electrical energy, 8. Solar energy, 9. Nuclear energy.

KINETIC ENERGY: The energy of a body due to its motion is called Kinetic energy. 

Formula for kinetic energy:

If a body of mass m starts to move from rest to a velocity v, then its kinetic energy is equals to 

K.E. = ½mv²

Proof of the kinetic energy:

If a body of mass m starts to move from rest to a velocity v, 

Work = Force x Displacement

W = F x s

But we know v² = u² + 2as

u = 0, v² = 2as => s = v²/2a

Again , F = ma

W = F x s = ma x v²/2a = ½mv²

*If the mass of a body is doubled, its kinetic energy also gets doubled. 

If the mass of a body is halved, is kinetic energy also gets halved. 

The velocity of a body is doubled, its kinetic energy becomes four times. If the velocity of a body is halved, then its kinetic energy becomes one fourth. 

As the kinetic energy of a body depends on its mass and velocity, therefore heavy bodies moving with high velocities have more kinetic energy. 

POTENTIAL ENERGY: 

The energy of a body due to its position or change in shape is known as potential energy. 

A body may possess energy even when it is not in motion due to its position or shape. 

The sum of the potential and kinetic energies of a body is called its mechanical energy. 

Formula for potential energy

Work done on a body against a force, is stored in the body as potential energy. 

Therefore, workdone on a body against gravitational force will be stored as the gravitational potential energy (U). 

Suppose a body of mass m has been raised to a height h from the ground against gravitational force. The workdone occurs against gravitational force equal to the weight of the body mg. 

Workdone, W = force x displacement

W = mg x h = mgh

POWER:

Power is defined as the rate of doing work. Therefore, power is equals to work done/time taken. 

If W work is done in t time, then power P = W/t

Hence, we can say power is equals to work done per unit time. 

When work is done, an equal amount of energy is consumed. Therefore, power can also be defined as the rate at which energy is consumed. Power is a scalar quantity. 

Q. Look at the activities listed below. Reason out whether or not work is done in the light of your understanding of the term ‘work’.

A. Suma is swimming in a pond.

B. A donkey is carrying a load on its back.

C. A wind-mill is lifting water from a well.

D. A green plant is carrying out photosynthesis.

E. An engine is pulling a train.

F. Food grains are getting dried in the sun.

G. A sailboat is moving due to wind energy.

Answer:

A. Suma is swimming in a pond: - She is pushing the water in the backward direction, which is an action performed by her.

However, due to reaction, the water pushes her in the forward direction. Work is done by Suma.

B. A donkey is carrying a load on its back: - In this case, force of gravity on the load is acting in the downward direction, whereas the displacement will be in the horizontal direction i.e., the force and displacement are perpendicular to each other.

There is no displacement in the direction of the force of gravity, and therefore no is work done as there is no displacement.

C. A wind-mill is lifting water from a well: - The work is done by the wind mill in lifting the bucket of water from the well. The work is done against the force of gravity.

D. A green plant is carrying out photosynthesis: - No work done is done in this case. As both force and displacement are 0.

E. An engine is pulling a train: - In this case, an engine is pulling a train parallel to the ground.

The force exerted by the engine is in the direction of displacement of the train.

Thus, the force and displacement are in the same direction. Therefore, work is done.

F. Food grains are getting dried in the sun: - No work is done in this case as food grains remain at rest.

G. A sailboat is moving due to wind energy: - The force exerted by the wind on the sail move the boat in the direction of force, hence, positive work is done by wind energy