a convex mirror used as a rear view mirror in a car has a radius of curvature of 3 m . if a bus is located at a distance of 5 from this mirror ,find the position of image . what is the nature of the image
Answers
Answer:
Explanation:
object distance (u)= -5m (always negative)
radius of curvature C = 3m
focal length = 3/2 = 1.5m.
with formula we know that ,
1/v +1/u = 1/f
1/v = 1/1.5 - 1/-5
1/v = -5 - 1.5 /-7.5
1/v = -6.5/-7.5
v = 1.15m
we must find magnification,
m= -v/u
= -1.15/-5
=0.23
the image is formed on the opposite side of the object.so it will be virtual and erect.
and 0.23 is very small where the object is placed beyond C.
so the image is virtual ,diminished and erect.
Answer:
R=+3m ⇒ f= 3/2m= 1.5m
U= −5m
By Mirror formula:
1/v+ 1/u = 1/f
1 /v + 1/(−5) = 1/1.5
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