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A beam of light converges to a point on a screen S. A mirror is placed in front of the screen at a distance of 10cm form the screen. It is found that the beam now converges at a point 20cm in front of the mirror. Find the focal length of the mirror.
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Text solutionVerified
Sure! Here are the step-by-step solutions:
Given:
- Object distance, u = -10 cm
- Image distance, v = -20 cm
- Focal length, f = ?
- Mirror type: Concave or Convex?
Formula:
The mirror formula is given by:
1/f = 1/u + 1/v
Solution:
1. Substitute the given values in the formula:
1/f = 1/u + 1/v
1/f = 1/(-10) + 1/(-20)
2. Simplify the equation:
1/f = (-2 - 1)/(-20)
1/f = -3/(-20)
1/f = 3/20
3. Solve for f:
f = 20/3 cm
4. Determine the type of mirror:
Since f is positive, the mirror is convex.
Therefore, the focal length of the mirror is 20/3 cm and it is convex.
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Question Text | A beam of light converges to a point on a screen S. A mirror is placed in front of the screen at a distance of 10cm form the screen. It is found that the beam now converges at a point 20cm in front of the mirror. Find the focal length of the mirror.
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Topic | Geometrical and Physical Optics |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 |