If the object is moved towards the plane mirror the final distance between the image and the object is 40 cm and if the final image is displaced by 10 cm from initial image what is the initial distance of the object from the mirror?10 cm30 cm20 cm40 cm
Question
If the object is moved towards the plane mirror the final distance between the image and the object is 40 cm and if the final image is displaced by 10 cm from initial image what is the initial distance of the object from the mirror?10 cm30 cm20 cm40 cm
Solution
The distance between an object and its image in a plane mirror is always twice the distance between the object and the mirror. This is because the image formed in a plane mirror is always virtual and is formed behind the mirror, at the same distance as the object is in front of the mirror.
Given that the final distance between the object and its image is 40 cm, this means that the final distance between the object and the mirror is 40 cm / 2 = 20 cm.
The problem also states that the final image is displaced by 10 cm from the initial image. This means that the initial distance between the object and the mirror was 10 cm less than the final distance.
Therefore, the initial distance of the object from the mirror was 20 cm - 10 cm = 10 cm.
So, the correct answer is 10 cm.
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