CBSE Class 10 Science 2017 · Paper 31/2/2 · Question 16
The magnification of an image formed by a lens is . If the distance of the image from the optical centre of the lens is 35 cm, where is the object placed ? What is the nature and focal length of the lens ? If the object is displaced 20 cm towards the optical centre of the lens, where would the image be formed and what will be its nature ? Draw a ray diagram to justify your answer.
Answer
Object at 35 cm from a convex lens, cm; after moving 20 cm closer, a virtual, erect image forms 105 cm away.
The object is placed 35 cm in front of the lens ( cm), on the other side from the image — that is, at , with the image at .
The lens is convex (converging), with focal length cm.
When the object is moved 20 cm towards the optical centre it is 15 cm from the lens ( cm), inside the focal length. The image is then formed 105 cm from the lens on the same side as the object ( cm); it is virtual, erect and magnified 7 times (). The ray diagram shows the two emergent rays diverging, with their backward extensions meeting at the image.
🔒 Step-by-step solution
Sign up free to see every step of how it is worked out.
From the board paper
More questions from Light - Reflection and Refraction
Class 10 Science — every question with an expert-verified, step-by-step solution.
- Q1 Which one of the following materials cannot be used to make a le…
- Q1 Define the principal focus of a concave mirror.
- Q2 The image formed by a concave mirror is observed to be virtual, ere…
- Q2 The radius of curvature of a spherical mirror is 20 cm. What is…
- Q3 Where should an object be placed in front of a convex lens to get…
- Q3 Name a mirror that can give an erect and enlarged image of an o…
- Q4 A spherical mirror and a thin spherical lens have each a focal…
- Q4 Why do we prefer a convex mirror as a rear-view mirror in vehic…
- Q5 No matter how far you stand from a mirror, your image appears ere…
- Q6 Which of the following lenses would you prefer to use while rea…
- Q7 We wish to obtain an erect image of an object, using a concave mir…
- Q8 Name the type of mirror used in the following situations. (a) Headl…
All 409 questions on Light - Reflection and Refraction → Browse all Science chapters →