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A person is standing in front of a concave mirror of focal length 6cm at a distance of 3cm calculate the distance between the person and the image?
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A person is standing in front of a concave mirror of focal length 6cm ...
Focal Length and Object Distance

The given problem involves a concave mirror with a focal length of 6cm and an object located 3cm away from the mirror. We need to calculate the distance between the person and the image formed by the mirror. To solve this problem, we can use the mirror formula.

Mirror Formula

The mirror formula is given by:

1/f = 1/v - 1/u

Where:
- f is the focal length of the mirror
- v is the distance of the image from the mirror
- u is the distance of the object from the mirror

Calculating the Image Distance

In this problem, the object distance (u) is given as 3cm, and the focal length (f) is given as 6cm. We need to find the image distance (v). Plugging these values into the mirror formula, we have:

1/6 = 1/v - 1/3

To solve for v, we can simplify the equation:

1/v = 1/6 + 1/3

Adding the fractions, we get:

1/v = 3/18 + 6/18

1/v = 9/18

To simplify further, we have:

1/v = 1/2

Taking the reciprocal of both sides, we find:

v = 2

Therefore, the distance between the person and the image is 2cm.

Conclusion

In summary, using the mirror formula, we determined that the distance between the person and the image formed by the concave mirror is 2cm.
Community Answer
A person is standing in front of a concave mirror of focal length 6cm ...
9cm
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A person is standing in front of a concave mirror of focal length 6cm at a distance of 3cm calculate the distance between the person and the image?
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