Raj is standing in front of a plane mirror. The distance between Raj a...
x = 50 cm, as for a plane mirror the distance between the object and the mirror is equal to the distance between the mirror and image.
(The total distance is 100 cm, dividing it by 2 we get the distance of image from mirror as 50 cm)
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Raj is standing in front of a plane mirror. The distance between Raj a...
Explanation:
Raj is standing in front of a plane mirror, which means that his image will be formed behind the mirror at the same distance as Raj is standing. Let's assume that Raj is standing at a distance of 100 cm from the mirror.
Understanding the situation:
- Raj is standing at a distance of 100 cm from the mirror.
- The distance between Raj and his image is given as 100 cm.
Determining the distance between the mirror and image:
To find the distance between the mirror and the image, we need to subtract the distance between Raj and the mirror from the distance between Raj and his image.
Given that the distance between Raj and his image is 100 cm, and the distance between Raj and the mirror is 100 cm, we can calculate the distance between the mirror and the image as follows:
Distance between the mirror and the image = Distance between Raj and his image - Distance between Raj and the mirror
x = 100 cm - 100 cm
x = 0 cm
Therefore, the possible value of x could be 0 cm, which means that the image is formed right at the surface of the mirror.
However, it is important to note that in the given options, the closest value to 0 cm is 50 cm (option A). This is because the options provided do not include the possibility of the image being formed right at the surface of the mirror. Therefore, the closest value to 0 cm is considered as the answer, which is 50 cm.
Therefore, option A (x = 50 cm) is the correct answer.
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