Question

an
object is
placed
at
a
distance
of 10 cm
in
front of a
convex
mirror whose focal length
is
5.
where
is the
image
formed ? Draw
the
ray diagram​

Answer 1

Answer:

ANSWER

Object Distance(u) = 10 cm. (negative)

Focal length of the lens (f) = 5 cm.

We know, convex mirror always forms the virtual, upright and diminished.Also, Object distance in the convex mirror is always negative where as Image distance and focal length are positive.

Now, Applying the Mirror's Formula,

f

1

=

v

1

+

u

1

=

5

1

=

v

1

+

1

=

5

1

=

10v

(10−v)

10v=50−5v

15v=50

v=

3

10

so the image distance (v) =3.33cm.

Answer 2

We know, convex mirror always forms the virtual, upright and diminished.Also, Object distance in the convex mirror is always negative where as Image distance and focal length are positive.

Now, Applying the Mirror's Formula,

f
1
​
=
v
1
​
+
u
1
​


=
5
1
​
=
v
1
​
+
1
​


=
5
1
​
=
10v
(10−v)
​


10v=50−5v
15v=50

v=
3
10
​


so the image distance (v) =3.33cm.