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A person dressed in a new suit stands in front of a plane mirror fixed on a vertical wall height of the person is H and that of his eye from the ground is h show that minimum length of the mirror that the person can have full view is H/2 and that it is independent of the position of eyes ?
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A person dressed in a new suit stands in front of a plane mirror fixed...
Ans.

Zero height would be  seen as light after reflection would never reach the person's eyes. His face's light after reflection would go downward not to his eyes and the extreme light i.e. of his foot after reflection would just pass over his head.

So, answer is 0.
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A person dressed in a new suit stands in front of a plane mirror fixed...
Explanation:
The minimum length of the mirror that the person can have a full view of themselves can be determined by considering the angle at which the person can see their entire body in the mirror.

Height of the Mirror:
- Let the height of the person be H and the height of their eyes from the ground be h.
- In order to see their entire body in the mirror, the person must be able to see the top of their head and their feet at the same time.
- This can be achieved when the person's line of sight makes an angle of 45 degrees with the mirror.
- In this case, the minimum length of the mirror required for the person to have a full view is H/2.

Independence of Eye Position:
- The minimum length of the mirror is independent of the position of the person's eyes because the angle needed to see their entire body in the mirror is fixed at 45 degrees.
- This means that regardless of where the person's eyes are positioned vertically, the angle of reflection will remain the same, allowing them to see their whole body in the mirror with a mirror length of H/2.
Therefore, the minimum length of the mirror that the person can have a full view of themselves is H/2, and it is independent of the position of their eyes.
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A person dressed in a new suit stands in front of a plane mirror fixed on a vertical wall height of the person is H and that of his eye from the ground is h show that minimum length of the mirror that the person can have full view is H/2 and that it is independent of the position of eyes ?
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A person dressed in a new suit stands in front of a plane mirror fixed on a vertical wall height of the person is H and that of his eye from the ground is h show that minimum length of the mirror that the person can have full view is H/2 and that it is independent of the position of eyes ? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A person dressed in a new suit stands in front of a plane mirror fixed on a vertical wall height of the person is H and that of his eye from the ground is h show that minimum length of the mirror that the person can have full view is H/2 and that it is independent of the position of eyes ? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person dressed in a new suit stands in front of a plane mirror fixed on a vertical wall height of the person is H and that of his eye from the ground is h show that minimum length of the mirror that the person can have full view is H/2 and that it is independent of the position of eyes ?.
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