an object of 6 cm height is placed at a distance of 30 cm in front of a concave mirror of focal length 10cm at what distance from the mirror will be the image will be formed what are the characteristics of the image
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Focal length(f) = 10 cm.
Object distance(u) = 15 cm.
Height of the Object = 6 cm.
Using the Mirror's formula,
1/f = 1/v + 1/u
⇒ 1/-10 = 1/v + 1/-15
⇒ 1/v = 1/-10 + 1/15
∴ 1/v = (-3 + 2)/30
⇒ v = -30 cm.
Since, image distance is negative, therefore, it is real and inverted.
Now, magnification = -v/u
= -(-30)/15
= 2
Since, magnification in greater than 1, therefore Image is magnified.
Also, m = H of image/H of object.
⇒ 2 = H of image/6
∴ Height of image = 12 cm.
Explanation:
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