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A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its end closer to the pole is 20 cm away from the mirror. The length of the image is :
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- 10 cm
- 15 cm
- 2.5 cm
- 5 cm
Correct Option: D
The focal length of the mirror
- | = | + | |||
f | v | u |
For A end of the rod the image distance When u1 = – 20 cm
⇒ - | = | - | |||
10 | v1 | 20 |
= | + | = | |||||
v1 | 10 | 20 | 20 |
v1 = – 20 cm
For when u2 = – 30 cm
= | - | ||||
f | v2 | 30 |
= | - | = | = | ||||||
v2 | 10 | 30 | 300 | 300 |
v2 = – 15 cm
L = v2 – v1 = – 15 – (– 20)
L = 5 cm