Question

A spherical mirror used as a rear-view mirror in a car has a radius of curvature
of 3m. If a bus is located at a distance of 5m from this mirror, find the position
of image. (Give answer in meter upto two places of decimal.)

Answer 1

Answer:

R=+3m⇒f=

2

+3

m

U=−5m

By Mirror formula:

v

1

+

u

1

=

f

1

⇒

v

1

+

(−5)

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

Answer 2

$\large\mathtt\pink{Heya}$

$\sf\tt\large{\red {\underline {\underline{⚘\;Question:}}}}$

A spherical mirror used as a rear- view mirror in a car has a radius of curvature of 3m. If a bus is located at a distance of 5m from this mirror. Find the position of the image.

$\sf\tt\large{\red {\underline {\underline{⚘\;Answer:}}}}$

$\sf\tt\large{\blue {\underline {\underline{\;The \;position \;of \;image \:is \;1. 1538m \;behind \;the \;mirror:}}}}$

$\sf\tt\large{\green {\underline {\underline{⚘\;Solution:}}}}$

Hey mate ,

Hey mate ,First let verify your questions and next enter to calculations.

In the question given that a spherical mirror which used as a rear- view mirror in a car has a radius of curvature of 3m .If bus is located at a distance of 5m from this mirror.

From here ,

we should find the value of position of the image.

So,

Here we come to an understanding that according to the given questions we can tell the mirror is convex.

If we want to calculate position of the image first we should calculate the focal length for given mirror.

So,

we know that,

$\sf\tt\large{\purple {\underline {\underline{\;f \;= \;R/2:}}}}$

$\sf\tt\large{\purple {\underline {\underline{\;f \;= \;3/2m:}}}}$

Next,

Here we know the formula to find the position of the image that is ,

$\sf\tt\large{\blue {\underline {\underline{\;1/v \;+ \;1/u \;= \;1/f:}}}}$

So,

So,Here ,

u=-5m.

f=3/2m.

Applying to it we get,

But here we can write the formula to find position of the image is

1/v = 1/f - 1/u

1/v = 1/(3/2)- 1/(-5)

1/v = 2/3 + 1/5 =10+3/15

1/v =13/15

we can write it as,

v = 15/13

v=1.1538m.

Therefore,

This is the perfect answer to your question.

$\large\mathtt\pink{Thanks}$