two plane mirror’s and an object O placed in between them. What is the distance between the first two images formed on mirror 𝑀1M 1 .
Question
two plane mirror’s and an object O placed in between them. What is the distance between the first two images formed on mirror 𝑀1M 1 .
Solution
To answer this question, we need to know the distance between the two mirrors and the position of the object. However, assuming the mirrors are parallel and facing each other, the first image in mirror M1 will be formed at the same distance behind the mirror as the object is in front of it.
Here are the steps to find the distance between the first two images formed on mirror M1:
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Measure the distance from the object to mirror M1. Let's call this distance 'd1'.
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The first image (I1) will be formed at the same distance 'd1' behind mirror M1.
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The second image (I2) is formed by the reflection of the first image in the second mirror. This image will appear to be as far behind mirror M1 as the first image and the second mirror are in front of it.
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Measure the distance from mirror M1 to mirror M2. Let's call this distance 'd2'.
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The distance from I1 to I2 is therefore 'd1' (from mirror M1 to I1) plus 'd2' (from mirror M1 to mirror M2) plus 'd1' (from mirror M2 to I2).
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So, the distance between the first two images formed on mirror M1 is 'd1 + d2 + d1' or '2d1 + d2'.
Please note that this is a simplified explanation and actual results may vary based on the angle and alignment of the mirrors.
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