a convex mirror has focal length 20cm an object placed in front of it at a distance of 10cm its image is formed tell how (in complete sense)
Answers
Answer:
For convex lens,
Focal length, f=+20 cm
Object distance, u=−40 cm
Using lens formula, we have
f
1
=
v
1
−
u
1
20
1
=
v
1
−
−40
1
⇒
v
1
=
20
1
−
40
1
=
40
2−1
=
40
1
⇒v=+40 cm
Now, for convex mirror, we have
Focal length, f=
2
R
=
2
20
=+10 cm
Object distance, u=+(40−15) cm=+25 cm
Using mirror formula, we have
f
1
=
v
1
+
u
1
10
1
=
v
1
+
25
1
⇒
v
1
=
10
1
−
25
1
=
50
5−2
=
50
3
⇒v=+
3
50
cm
∴ The final image is formed at a distance of
3
50
cm from the convex mirror or at a distance of (
3
50
+15)cm=
3
95
cm from the convex lens.
The final image is a virtual image.
Given:
A convex mirror has focal length 20cm an object placed in front of it at a distance of 10cm.
To find:
Image formation and it's characteristics?
Calculation:
First of all, let's find the image distance:
Applying MIRROR FORMULA:
Since , image distance is positive, we can say that a virtual image is produced by the convex mirror.
Now , any convex mirror produces image with same characteristics as follows:
- Image will be virtual.
- Image will be diminished.
- Image will be erect.
Hope It Helps.