Question

A convex mirror having radius of curvature 3m is fitted as a rearview mirror in a bus. Find the position,nature and magnification of the image of a car standing behind the bus at 6 m from the mirror.
​

Answer 1

Explanation:R=+3m⇒f=  

2

+3

​

m

U=−6m

By Mirror formula:

v

1

​

+  

u

1

​

=  

f

1

​

⇒  

v

1

​

+  

(−6)

1

​

=  

5

2

​

 

⇒  

v

1

​

=  

3

2

​

+  

3

1

​

 

v

1

​

=  

15

13

​

 

⇒v=  

13

15

​

≃1.1538m behind the mirror

m=  

h  

o

​

 

h  

I

​

 

​

=−(  

u

v

​

)⇒h  

I

​

=(  

u

−v

​

)h  

o

​

 

h  

I

​

=(  

13

15

​

×  

(1.5)

1

​

)h  

o

​

 

h  

I

​

=  

13

3h  

o

​

 

​

 ie. diminished & virtual & erect