an object 3 cm high is placed at a distance of 9 cm in front of concave mirror of focal length 18cm. find the position, nature and size
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chikunonu:
thanks
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Hey !! ^_^
Here is your answer
⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Size of object(o) = 3cm
Distance of object (u) = -9cm ( sign convention)
focal length(f) = -18cm ( sign convention)
Mirror Formula
1/f = 1/v + 1/u
1/v = 1/f - 1/u
putting the value
1/v = 1/(-18) - 1/(-9)
1/v = 1/(-18) + 1/9
1/v = (-1 + 2)/18
1/v = 1/18
v = 18.( + sign indicate that the image is formed behind the mirror)
The position of image is behind the mirror 18 cm far from the pole
m = v/u
m = 18/9
m = 2
The size of image is 2 times larger than object or magnified
or ...
m = I/O
2 = I/3
I = 3 × 2
I = 6
Image will be virtual and erect
Thank you ✌️☺️
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