Suppose you want to observe an erect image of a candle flame using concave mirror of focal length 20cm. Find the range of object distance. Nature of image formed and draw the ray diagram
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object distance u will be <20cm
the nature of the image is virtual erect and enlarged
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Explanation:
Dear Student,
Please find below the solution to the asked query:
to obtain an erect image the candle would have to be placed between the pole and the focus.
Then,
maximum distance = 19.99 cm
minimum distance = 0.001 cm
Now,
from the mirrors formula:
1/f = 1/u+1/v
1/−20 = 1/−19.99 + 1/v
1/v = 1/19.99−1/20
v = 39979.99 cm
If u = 0.001
1/f = 1/u+1/v
1/−20 = 1/−0.001 +1/v
v = 0.0001 cm
Thus range,0.0001 cm ≤v≤39979.99 cmThe other two charateristics are:The image is formed behind the mirror.The image formed is virtual.
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