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The position of image of a object placed at a distance of 25 cm in front of a concave mirror of focal length 50 cm will be—
  • a)
    50 cm, behind the mirror
  • b)
    50 cm, in front of mirror
  • c)
    35 cm, behind the mirror
  • d)
    35 cm, in front of mirror
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The position of image of a object placed at a distance of 25 cm in fro...
f = –50 cm, u = –25 cm, v = ?
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The position of image of a object placed at a distance of 25 cm in fro...
The position of the image of an object placed at a distance of 25 cm in front of a concave mirror of focal length 50 cm can be determined using the mirror formula:

1/f = 1/v - 1/u

Where:
f = focal length of the mirror (50 cm)
v = distance of the image from the mirror
u = distance of the object from the mirror (25 cm)

Substituting the given values into the formula:

1/50 = 1/v - 1/25

Simplifying:

1/v = 1/50 + 1/25
1/v = 2/50 + 1/50
1/v = 3/50

Taking the reciprocal of both sides:

v = 50/3

Therefore, the position of the image will be approximately 16.67 cm in front of the mirror.
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The position of image of a object placed at a distance of 25 cm in front of a concave mirror of focal length 50 cm will be—a)50 cm, behind the mirrorb)50 cm, in front of mirrorc)35 cm, behind the mirrord)35 cm, in front of mirrorCorrect answer is option 'A'. Can you explain this answer?
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