A convex mirror is used as a safety mirror in a shop. It has a focal lenght of 15m. A person is standing 12 m away from this mirror. Find the position of his image.?

Question

Answer

Problem Statement

A convex mirror in a shop has a focal length of 15m. A person is standing 12m away from this mirror. Find the position of his image.

Solution

There are two ways to approach this problem:

Using the mirror formula

Using ray diagrams

Using the Mirror Formula

The mirror formula is given as:

1/f = 1/u + 1/v

where:

f is the focal length of the mirror

u is the object distance

v is the image distance

In this case, we have:

f = 15m

u = -12m (since the person is standing in front of the mirror)

v = ?

Substituting these values in the mirror formula, we get:

1/15 = 1/-12 + 1/v

Solving for v, we get:

v = -20m

Since the image distance is negative, the image is formed behind the mirror. Therefore, the position of the person's image is 20m behind the convex mirror.

Using Ray Diagrams

We can also use ray diagrams to find the position of the person's image. The steps involved are:

Draw a ray from the person that is parallel to the principal axis of the mirror

Draw a ray from the person that passes through the focal point of the mirror

The reflected rays will appear to come from the same point behind the mirror, which is the position of the person's image

Using this method, we can see that the person's image is formed 20m behind the convex mirror, which is consistent with the result obtained using the mirror formula.

Answer

Behind the mirror, at the distance of 6.67m from the mirror.

Answer

F=15m... u=12m... we know 1/f=1/u+1/v = 1/15=1/-12+1/v so if u find it u will get as 6.67 m.... the nature of image is diminished..erect ...and the image will be between focus and pole

Similar Class 10 Doubts

An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.?

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.?

A child is standing in front of magic mirror. He finds the image of his head bigger, the middle portion of his body of the same size and that of legs smaller. The following is the order of combinations for the magic mirror from the top.

An object is placed at a distance of 10cm from convex mirror of the focal length 15 cm. Find the position and nature of imaged formed?

Top Courses for Class 10View all

Science Class 10

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

English Grammar Advanced

English Grammar Basic

Top Courses for Class 10

Top Courses for Class 10

Suggested Free Tests

Related Content

About Class 10

Class 10 Study Material

Class 10 All Subjects

NCERT Textbook Solutions

Other Classes

Important Links

Company