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An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image?
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An object is placed 42cm in front of a concave mirror of focal length ...
Problem: An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image? Explain in detail.
Solution:
Given Data:
- Object distance (u) = -42 cm (negative sign indicates the object is placed in front of the mirror)
- Focal length (f) = -21 cm (negative sign indicates the concave mirror)
- Distance between concave mirror and plane mirror (d) = 25 cm
Step 1: Find the position of the image formed by the concave mirror
Using the mirror formula, we can find the position of the image formed by the concave mirror:
1/f = 1/v - 1/u
Here, f = -21 cm and u = -42 cm
1/-21 = 1/v - 1/-42
-1/21 = 1/v + 1/42
-1/21 = (2 + 1)/42v
-1/21 = 3/42v
-1 = 3v/21
-21 = 3v
v = -7 cm
The image formed by the concave mirror is located 7 cm in front of the mirror.
Step 2: Find the position of the final image formed by the plane mirror
The light from the concave mirror is reflected onto the plane mirror. The distance between the concave mirror and the plane mirror is given as 25 cm. Since the image formed by the concave mirror is located 7 cm in front of it, the distance between the object and the plane mirror can be calculated as follows:
Distance between object and plane mirror = Distance between concave mirror and plane mirror - Distance between object and concave mirror
= 25 cm - (-7 cm)
= 25 cm + 7 cm
= 32 cm
Therefore, the final image formed by the plane mirror is located 32 cm in front of the mirror.
Conclusion:
The final image is formed by the plane mirror and is located 32 cm in front of it.
Solution:
Given Data:
- Object distance (u) = -42 cm (negative sign indicates the object is placed in front of the mirror)
- Focal length (f) = -21 cm (negative sign indicates the concave mirror)
- Distance between concave mirror and plane mirror (d) = 25 cm
Step 1: Find the position of the image formed by the concave mirror
Using the mirror formula, we can find the position of the image formed by the concave mirror:
1/f = 1/v - 1/u
Here, f = -21 cm and u = -42 cm
1/-21 = 1/v - 1/-42
-1/21 = 1/v + 1/42
-1/21 = (2 + 1)/42v
-1/21 = 3/42v
-1 = 3v/21
-21 = 3v
v = -7 cm
The image formed by the concave mirror is located 7 cm in front of the mirror.
Step 2: Find the position of the final image formed by the plane mirror
The light from the concave mirror is reflected onto the plane mirror. The distance between the concave mirror and the plane mirror is given as 25 cm. Since the image formed by the concave mirror is located 7 cm in front of it, the distance between the object and the plane mirror can be calculated as follows:
Distance between object and plane mirror = Distance between concave mirror and plane mirror - Distance between object and concave mirror
= 25 cm - (-7 cm)
= 25 cm + 7 cm
= 32 cm
Therefore, the final image formed by the plane mirror is located 32 cm in front of the mirror.
Conclusion:
The final image is formed by the plane mirror and is located 32 cm in front of it.
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An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image?
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An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image?.
An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed 42cm in front of a concave mirror of focal length 21cm. Light from the concave mirror is reflected onto a small plane mirror 25 cm in front of the concave mirror. Where is the final image?.
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