There exist a magic mirror, whose virtual image is formed at thrice the distance of the object to the mirror, if the distance between the object and the image is 40 cm. What is the distance of the object from the mirror
Question
There exist a magic mirror, whose virtual image is formed at thrice the distance of the object to the mirror, if the distance between the object and the image is 40 cm. What is the distance of the object from the mirror
Solution
Let's denote the distance of the object from the mirror as 'd'. According to the problem, the virtual image is formed at thrice the distance of the object to the mirror, so the image distance is 3d.
The problem also states that the distance between the object and the image is 40 cm. Since the image is formed on the same side as the object, the distance between the object and the image is the sum of the object distance and the image distance. Therefore, we have:
d + 3d = 40 cm
Solving this equation gives:
4d = 40 cm
Therefore, the distance of the object from the mirror, 'd', is 10 cm.
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