**QUESTIONS: (5 marks each)**
**Q1**. With the help of ray diagrams, show the formation of images of an object by a concave mirror. When it is placed

(i) beyond the centre of curvature
(ii) at the centre of curvature.

**Q2**. Draw ray diagrams to show the formation of image by an object by a concave lens when the object is placed

(i) at infinity
(ii) between infinity and optical centre of the lens.

**Q3**. Draw a labeled ray diagram to locate the image of an object formed by a convex lens of vocal length 20cm when the object is placed 30cm away from the lens.

**Q4**. What is meant by the power of a lens? What is its SI unit? Name the type of lens whose power is positive. The image of an object formed by a lens is real, inverted and of the same size as the object. If the image is at a distance of 40cm from the lens, what is the nature and power of the lens? Draw ray diagram to justify your answer.

**Q5**. One half of a convex lens of focal length 10 cm is covered with a black paper. Can such a lens produce an image of a complete object placed at a distance of 30 cm from the lens? Draw a ray diagram to justify your answer.

**Q6**. With the help of a ray diagram, state and explain the laws of reflection of light at a plane mirror. Mark the angle of incidence and reflection clearly in the diagram. If the angle of incidence is 32.5o, what will be the angle of reflection?

**Q7**. It is desired to obtain an erect image of an object, using concave mirror of focal length of 12 cm.

(i) What should be the range of distance of an object placed in front of the mirror?

(ii) Will the image be smaller or larger than the object? Draw ray diagram to show the formation of image in this case,.

(iii) Where will the image of this object be, if it is placed 6 cm in front of the mirror? Draw ray diagram for this situation to justify your answer.

Show the position of pole, principal focus and the centre of curvature in the ray diagram.

**Q8**. A student has three concave mirrors A, B and C of focal lengths 20 cm, 15 cm and 10 cm respectively. For each concave mirror he performs the experiment of mage formation for three values of object distance of 30 cm, 10 cm and 20 cm.

Giving reason answer the following:

(a) For the three object distances, identify the mirror which will form an image equal in size to that of object. Find at least one value of object distance.

(b) Out of the three mirrors, identify the mirror which would be preferred to be used for shaving purpose.

(c) For the mirror B, draw ray diagram for image formation for any two given values of object distance.

**Q9**. An object is placed at infinity from a concave mirror of focal length 10 cm. Find the position and nature of image formed. Draw a ray diagram to show the formation of image. (Not to scale)

**Q10**. (a) Define focal length of a spherical lens.

(b) A divergent lens has a focal length of 30cm. At what distance should an object of height 5 cm from the optical centre of the lens be placed so that its image is formed 15 cm away from the lens? Find the size of the image also.

(c) Draw a ray diagram to show the formation of image in the above situation.

**Q11**. (a) A converging lens forms a real and inverted image of an object at a distance of 100cm from it. Where should an object be placed in front of the lens, so that the size of the image is twice the size of the object? Also, calculate the power of a lens.

(b) State laws of refraction.

**Q12**. List the new Cartesian sign convention for reflection of light by spherical mirrors. Draw a diagram and apply these conventions for calculating the focal length and nature of a spherical mirror which forms a 1/3 times magnified virtual image of an object placed 18 cm in front of it.

**Q13**. One – half of a convex lens of focal length 110 cm is covered with a black paper. Can such a lens produce an image of a complete object placed at a distance of 30 cm from the lens? Draw a ray diagram to justify your answer.

A 4 cm tall object is placed perpendicular to the principal axis of a convex lens of focal length 20 cm. The distance of the object from the lens is 15 cm. Find the nature, position and size of the image.

**Q14**. Why does a light ray incident on a rectangular glass slab immersed in any medium emerge parallel to itself? Explain using a diagram.

Class 10 Maths
Class 10 Science