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LIGHT
Mirror Lens
1/v + 1/u = 1/f
m = h’/h
= -v/u
1/v - 1/u = 1/f
m = h’/h
= v/u
R = 2f P = 1/f
2. An object is placed at a distance of 10 cm from a
convex mirror of focal length 15 cm. Find the
position and nature of the image.
Answer
Focal length of convex mirror (f) = +15 cm
Object distance (u) = – 10 cm
According to the mirror formula,
• The image is located at a distance of 6 cm from
the mirror on the other side of the mirror.
• The positive and a value of less than 1 of
magnification indicates that the image formed is
virtual and erect and diminished.
3. An object of size 7.0 cm is placed at 27 cm in front of
a concave mirror of focal length 18 cm. At what
distance from the mirror should a screen be placed so
that a sharply focused image can be obtained? Find the
size and nature of the image.
Answer
Object distance (u) = – 27 cm
Object height (h) = 7 cm
Focal length (f) = – 18 cm
According to the mirror formula,
• The negative value of image height indicates that
the image formed is inverted.
4. An object 5 cm in length is held 25 cm away from a
converging lens of focal length 10 cm. Draw the ray
diagram and find the position, size and the nature of
the image formed.
Answer
Height of the Object, h0 = 5 cm
Distance of the object from converging lens, u = -25 cm
Focal length of a converging lens, f = 10 cm
Using lens formula,
• Thus, the image is inverted and formed at a distance
of 16.7 cm behind the lens and measures 3.3 cm. The
ray diagram is shown below.
5. A concave lens of focal length 15 cm forms an image
10 cm from the lens. How far is the object placed from
the lens? Draw the ray diagram.
Answer
Focal length of concave lens (OF1), f = – 15 cm
Image distance, v= – 10 cm
According to the lens formula,
• The negative value of u indicates that the object is
placed 30 cm in front of the lens. This is shown in the
following ray diagram.
6. Find the focal length of a lens of power -2.0 D.
What type of lens is this?
Answer
Power of lens (P) = 1/f
P = -2D
f = -1/2 = -0.5 m
A concave lens has a negative focal length.
Therefore, it is a concave lens.
7. Light enters from air to glass having refractive index
1.50. What is the speed of light in the glass? The
speed of light in vacuum is 3 x 108 ms-1.
Refractive index of a medium (nm)
= Speed of light in vacuum/Speed of light in the medium
Speed of light in vacuum (c) = 3 × 108 m/s
Refractive index of glass (ng) = 1.50
Speed of light in the glass (v)
= Speed of light in vacuum/ Refractive index of
glass
= c/ng
= 3 × 108/1.50
= 2 x 108 ms-1.

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light part 4

  • 2. Mirror Lens 1/v + 1/u = 1/f m = h’/h = -v/u 1/v - 1/u = 1/f m = h’/h = v/u R = 2f P = 1/f
  • 3. 2. An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image. Answer Focal length of convex mirror (f) = +15 cm Object distance (u) = – 10 cm According to the mirror formula,
  • 4.
  • 5. • The image is located at a distance of 6 cm from the mirror on the other side of the mirror. • The positive and a value of less than 1 of magnification indicates that the image formed is virtual and erect and diminished.
  • 6. 3. An object of size 7.0 cm is placed at 27 cm in front of a concave mirror of focal length 18 cm. At what distance from the mirror should a screen be placed so that a sharply focused image can be obtained? Find the size and nature of the image. Answer Object distance (u) = – 27 cm Object height (h) = 7 cm Focal length (f) = – 18 cm According to the mirror formula,
  • 7.
  • 8. • The negative value of image height indicates that the image formed is inverted.
  • 9. 4. An object 5 cm in length is held 25 cm away from a converging lens of focal length 10 cm. Draw the ray diagram and find the position, size and the nature of the image formed. Answer Height of the Object, h0 = 5 cm Distance of the object from converging lens, u = -25 cm Focal length of a converging lens, f = 10 cm Using lens formula,
  • 10.
  • 11. • Thus, the image is inverted and formed at a distance of 16.7 cm behind the lens and measures 3.3 cm. The ray diagram is shown below.
  • 12. 5. A concave lens of focal length 15 cm forms an image 10 cm from the lens. How far is the object placed from the lens? Draw the ray diagram. Answer Focal length of concave lens (OF1), f = – 15 cm Image distance, v= – 10 cm According to the lens formula,
  • 13.
  • 14. • The negative value of u indicates that the object is placed 30 cm in front of the lens. This is shown in the following ray diagram.
  • 15. 6. Find the focal length of a lens of power -2.0 D. What type of lens is this? Answer Power of lens (P) = 1/f P = -2D f = -1/2 = -0.5 m A concave lens has a negative focal length. Therefore, it is a concave lens.
  • 16. 7. Light enters from air to glass having refractive index 1.50. What is the speed of light in the glass? The speed of light in vacuum is 3 x 108 ms-1. Refractive index of a medium (nm) = Speed of light in vacuum/Speed of light in the medium Speed of light in vacuum (c) = 3 × 108 m/s Refractive index of glass (ng) = 1.50
  • 17. Speed of light in the glass (v) = Speed of light in vacuum/ Refractive index of glass = c/ng = 3 × 108/1.50 = 2 x 108 ms-1.