Real & Virtual Images (Oxford AQA IGCSE Physics)

Revision Note

Images

  • Images produced by lenses can be one of two types:

    • A real image

    • A virtual image

  • The size of an image produced by either lens depends on the distance between the object and the lens

Real images

  • A real image is defined as:

An image is formed when light rays from an object converge to meet each other and can be projected onto a screen

  • A real image is one produced by the convergence of light towards a focus

  • Real images are always inverted (upside down compared to the object)

  • Real images can be projected onto pieces of paper or screens

    • An example of a real image is the image formed on a cinema screen

A real image formed by a projector

A real image formed by a projector, for GCSE & IGCSE Physics revision notes
A real image is always inverted compared to the object

Virtual images

  • A virtual image is defined as:

An image is formed when the light rays from an object do not meet but appear to meet behind the lens and cannot be projected onto a screen

  • A virtual image is formed by the divergence of light away from a point

  • Virtual images are always upright

  • Virtual images cannot be projected onto a piece of paper or a screen

    • An example of a virtual image is a person's reflection in a mirror

A virtual image formed by a mirror

Example of a virtual image of someone looking in a mirror, for GCSE & IGCSE Physics revision notes"
A virtual image is formed upright compared to the object

Ray Diagrams

  • Ray diagrams can be used to show the images formed by lenses

  • Whether an image is real or virtual is determined by:

    • The distance between the object and lens compared to the focal length

  • The size of the image (magnified, diminished or same size) is also determined by:

    • The distance between the object and lens compared to the focal length

  • Whether the image is upright or inverted is determined by:

    • Whether the image is real or virtual

    • Upright images are virtual and inverted images are real

Convex lenses and real images

Object placed between f and 2f

  • The diagram below shows the image formed when the object is placed at a distance between one focal length (f) and two focal lengths (2f) from the lens

Real, enlarged and inverted image formed by a converging lens

A ray diagram where the object is between the principal focus and twice the focal length in front of the convex lens forming a real, inverted and enlarged image on the other side of the lens
A real, inverted and enlarged image is formed when an object is placed between f and 2f in front of the convex lens
  • In this case, the image is:

    • Real

    • Enlarged

    • Inverted

Object placed further than 2f

  • The following diagram shows what happens when the object is more distanced – further than twice the focal length (2f) from the lens

Real, diminished and inverted image formed by a converging lens

A ray diagram where the object is beyond twice the focal length in front of the lens forming a real, diminished and inverted image on the other side of the lens
A real, diminished and inverted image is formed when an object is placed beyond 2f in front of the lens
  • In this case, the image is:

    • Real

    • Diminished (smaller)

    • Inverted

Object placed at exactly 2f

  • If the object is placed at exactly twice the focal length (2f) from the lens

Real, same size and inverted image formed by a converging lens

A ray diagram where the object is exactly at a distance of twice the focal length in front of the lens forming a real, same size and inverted image on the other side of the lens
A real, same size and inverted image is formed when an object is placed exactly a distance of 2f in front of the lens
  • In this case, the image is:

    • Real

    • Same size as the object

    • Inverted

  • To draw an accurate ray diagram of real images formed using convex lenses:

  1. Start by drawing a ray going from the top of the object through the centre of the lens. This ray will continue to travel in a straight line

  2. Next draw a ray going from the top of the object, travelling parallel to the axis of the lens. When this ray emerges from the lens it will travel directly towards the principal focus

  3. The image is found at the point where the above two rays meet

Convex lenses and virtual images

Virtual, magnified and upright image formed by a converging lens

A ray diagram where the object is closer to the lens than the principal focus forming a virtual, magnified and upright image on the same side of the lens, IGCSE & GCSE Physics revision notesIGCSE & GCSE Physics revision notes
A virtual, magnified and upright image is formed when an object is placed closer to a converging lens than the principal focus
  • In this case, the image is:

    • Virtual: the light rays appear to meet when produced backwards

    • Magnified: the image is larger than the object

    • Upright: the image is formed on the same side of the principal axis

  • To draw an accurate ray diagram of virtual images formed using convex lenses:

  1. Start by drawing a ray going from the top of the object through the centre of the lens. This ray will continue to travel in a straight line

  2. Draw a dashed line continuing this ray upwards

  3. Next draw a ray going from the top of the object, travelling parallel to the axis to the lens. When this ray emerges from the lens it will travel directly through the principal focus f

  4. Also, draw a dashed line continuing this ray upwards

  5. The image is the line drawn from the axis to the point where the two dashed lines meet

Concave lenses and virtual images

Virtual, diminished and upright image formed by a diverging lens

A ray diagram where the object is beyond the focal length in front of the diverging lens produces a virtual, diminished and upright image on the same side of the lens, IGCSE & GCSE Physics revision notes
A virtual, diminished and upright image is formed on the same side of the lens as the object when an object is placed beyond the principal focus in front of a diverging lens
  • In this case, the image is:

    • Virtual: the light rays appear to meet when produced backwards

    • Diminished: the image is smaller than the object

    • Upright: the image is formed on the same side of the principal axis

  • Concave lenses can also be used to form virtual images

  • If an object is placed further from the lens than the principal focus f then a diverging lens ray diagram will be drawn in the following way:

  1. Start by drawing a ray going from the top of the object through the centre of the lens. This ray will continue to travel in a straight line

  2. Next draw a ray going from the top of the object, travelling parallel to the axis to the lens. When this ray emerges from the lens it will travel directly upwards away from the axis

  3. Draw a dashed line continuing this ray downwards to the principal focus, f

  4. The image is the line drawn from the axis to the point where the above two rays meet

Comparing converging and diverging lenses

  • The image produced by a converging lens can be either real or virtual

    • This means the image can be inverted (real) or upright (virtual)

  • The image produced by a diverging lens is always virtual

    • This means the image will always be upright

Worked Example

An object is placed outside the principal focus of a diverging lens.

Diverging ray drawn on a lens axis with the object placed just beyond the focal point F

Complete the ray diagram by drawing where the image of this object will be seen.

Answer:

The ray diagram annotated with an arrow drawn from the top of the object sloping downward through the origin of the diverging lens. A second arrow is drawn parallel to the horizontal lens axis from the top of the object to the vertical axis of the lens. The second arrow then diverges upward at an angle. The diverging part of the second arrow is extrapolated backward with a dotted line to the focal point in front of the lens. The top of the image arrow is drawn where the dotted line and arrow 1 cross.

Step 1: Draw a line from the top of the object through the middle of the lens

  • The top of the image lies somewhere along this line

Step 2: Draw a line from the principal focus through the top of the lens

  • The dashed line shows the continuation of the upwards arrow

  • The top of the image is where the two lines cross

Examiner Tip

The best way to remember these ray diagrams is to draw them and see the results for yourself. Remember to always use a ruler or a straight edge in the exam to produce the most accurate drawings and gain full marks.

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