A concave mirror of focal length 20 cm is placed 40 cm away from a convex mirror of focal length 15 cm away from the convex mirror Find the position of image formed by reflection from concave mirror followed by convex mirror and what is the nature of the image formed
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The image is formed of a distance 1.9 cm behind the mirror which is virtual and erect.
Explanation:
For Concave mirror we are given:
f = -20 cm
u = -40 cm
v = ?
- 1/V+1/U=1/f (using lens mirror formula)
1/v + 1/-40 = 1/-20
1/v = 1/-20 + 1/40
= -2 + 1/40 (LCM)
= -1/40 = - 40 cm
Hence, the image is formed of a distance 40 cm in front of the mirror which is real and inverted.
Convex mirror:
f = 15 cm
u = -40
v = ?
1/v + 1/u=1/f
1/v + 1/-40 = 1/15
1/v = 1/15 + 1/40
= 8+3/120 (LCM)
= 1.9 cm
Therefore, the image is formed of a distance 1.9 cm behind the mirror which is virtual and erect.
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If the focal length of a concave mirror is 15 CM if an object is placed at a distance of 30 cm from the pole then its image will be formed at which ?
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