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The minimum length of a plane mirror to see the entire full-length image of an object is half of the object’s height. Suppose δ is the distance between eye and top of the head of a person of height h. The person will be able to see his entire full-length image with a mirror of height h/2 fixed on the wall
  • a)
    when the bottom edge of mirror is kept h/2 above the floor.
  • b)
    when the bottom edge of mirror is kept (h+ δ)/2 above the floor.
  • c)
    when the bottom edge of mirror is kept (h− δ)/2 above the floor.
  • d)
    when the centre of the mirror is at the same height as centre of the person.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The minimum length of a plane mirror to see the entire full-length ima...
To understand why the correct answer is option 'C', let's analyze each option one by one.

a) When the bottom edge of the mirror is kept h/2 above the floor:
In this case, the top edge of the mirror will be at a height of h/2 + h/2 = h above the floor. Therefore, the mirror height is h, which is equal to the height of the person. So, the person will be able to see their entire full-length image.

b) When the bottom edge of the mirror is kept (h)/2 above the floor:
In this case, the top edge of the mirror will be at a height of (h/2 + h)/2 = 3h/4 above the floor. Therefore, the mirror height is h/4, which is less than the height of the person. So, the person will not be able to see their entire full-length image.

c) When the bottom edge of the mirror is kept (h)/2 above the floor:
In this case, the top edge of the mirror will be at a height of (h/2 + h/2)/2 = h/2 above the floor. Therefore, the mirror height is h/2, which is equal to half the height of the person. So, the person will be able to see their entire full-length image.

d) When the center of the mirror is at the same height as the center of the person:
In this case, the top edge of the mirror will be at a height of h/2 above the floor. Therefore, the mirror height is h/2, which is equal to half the height of the person. So, the person will be able to see their entire full-length image.

Based on the analysis above, option 'C' is the correct answer because when the bottom edge of the mirror is kept (h)/2 above the floor, the mirror height is h/2, which is equal to half the height of the person. Thus, the person will be able to see their entire full-length image.
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The minimum length of a plane mirror to see the entire full-length image of an object is half of the objects height. Suppose is the distance between eye and top of the head of a person of height h. The person will be able to see his entire full-length image with a mirror of height h/2 fixed on the walla)when the bottom edge of mirror is kept h/2 above the floor.b)when the bottom edge of mirror is kept (h+ )/2 above the floor.c)when the bottom edge of mirror is kept (h )/2 above the floor.d)when the centre of the mirror is at the same height as centre of the person.Correct answer is option 'C'. Can you explain this answer?
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The minimum length of a plane mirror to see the entire full-length image of an object is half of the objects height. Suppose is the distance between eye and top of the head of a person of height h. The person will be able to see his entire full-length image with a mirror of height h/2 fixed on the walla)when the bottom edge of mirror is kept h/2 above the floor.b)when the bottom edge of mirror is kept (h+ )/2 above the floor.c)when the bottom edge of mirror is kept (h )/2 above the floor.d)when the centre of the mirror is at the same height as centre of the person.Correct answer is option 'C'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about The minimum length of a plane mirror to see the entire full-length image of an object is half of the objects height. Suppose is the distance between eye and top of the head of a person of height h. The person will be able to see his entire full-length image with a mirror of height h/2 fixed on the walla)when the bottom edge of mirror is kept h/2 above the floor.b)when the bottom edge of mirror is kept (h+ )/2 above the floor.c)when the bottom edge of mirror is kept (h )/2 above the floor.d)when the centre of the mirror is at the same height as centre of the person.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The minimum length of a plane mirror to see the entire full-length image of an object is half of the objects height. Suppose is the distance between eye and top of the head of a person of height h. The person will be able to see his entire full-length image with a mirror of height h/2 fixed on the walla)when the bottom edge of mirror is kept h/2 above the floor.b)when the bottom edge of mirror is kept (h+ )/2 above the floor.c)when the bottom edge of mirror is kept (h )/2 above the floor.d)when the centre of the mirror is at the same height as centre of the person.Correct answer is option 'C'. Can you explain this answer?.
Solutions for The minimum length of a plane mirror to see the entire full-length image of an object is half of the objects height. Suppose is the distance between eye and top of the head of a person of height h. The person will be able to see his entire full-length image with a mirror of height h/2 fixed on the walla)when the bottom edge of mirror is kept h/2 above the floor.b)when the bottom edge of mirror is kept (h+ )/2 above the floor.c)when the bottom edge of mirror is kept (h )/2 above the floor.d)when the centre of the mirror is at the same height as centre of the person.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
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