Read the following passage and answer the questions.A student wants t...
The distance between the object and its inverted image formed by a concave mirror is 15cm. If the magnification produced by the mirror is -2, use mirror formula to determine the object distance, image distance and focal length of the mirror.
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Read the following passage and answer the questions.A student wants t...
Distance between the Object and its Image
To determine the distance between the object and its image, we can use the mirror formula:
1/f = 1/v - 1/u
Where:
- f is the focal length of the mirror
- v is the image distance
- u is the object distance
Given Data:
- The screen is located 30 cm in front of the mirror.
- The flame is positioned at a distance of 15 cm from the pole of the mirror.
Finding the Focal Length
Since the mirror is not specified, we can assume it to be a concave mirror. The focal length of a concave mirror is half of its radius of curvature.
Calculating the Object Distance
The object distance (u) is given as 15 cm.
Calculating the Image Distance
To calculate the image distance (v), we can substitute the values of f and u into the mirror formula:
1/f = 1/v - 1/u
1/f = 1/v - 1/15
Simplifying the equation, we have:
1/v = 1/f + 1/15
Substituting the value of f (focal length), we can solve for v:
1/v = 2/r + 1/15
Calculating the Distance between the Object and its Image
Finally, we can calculate the distance between the object and its image by subtracting the object distance (u) from the image distance (v):
Distance = v - u
Answer:
Therefore, the distance between the object and its image is 15 cm.
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