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Q.The linear magnification produced by a spherical mirror is 1/3. Analyzing this value, state the:
(i) Type of mirror
(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.?
(i) Type of mirror
(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.?
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Q.The linear magnification produced by a spherical mirror is 1/3. Anal...
Analysis of Linear Magnification in a Spherical Mirror
Type of Mirror:
- The linear magnification produced by a spherical mirror is 1/3.
- When the linear magnification is less than 1, it indicates a concave mirror.
- Therefore, the type of mirror in this case is a concave mirror.
Position of the Object:
- The magnification formula for spherical mirrors is given by:
M = -v/u
where M is the magnification, v is the image distance, and u is the object distance.
- Given that M = 1/3, we can deduce that v = -u/3.
- Since the magnification is positive (indicating an upright image), the object must be placed between the focal point (F) and the pole of the mirror.
- Therefore, the position of the object with respect to the pole of the mirror is between the pole and the focal point.
Ray Diagram:
- To justify the position of the object, we can draw a ray diagram for a concave mirror with the object placed between the focal point and the pole.
- Draw the principal axis (a straight line passing through the center of curvature, C, and the pole, P).
- Draw an incident ray parallel to the principal axis. After reflection, it will pass through the focal point, F.
- Draw an incident ray passing through the focal point, F. After reflection, it will be parallel to the principal axis.
- The point where these two reflected rays intersect will give the location of the image, which will be upright and diminished in size.
- This ray diagram confirms that the object is indeed located between the focal point and the pole of the concave mirror, consistent with the magnification of 1/3.
Type of Mirror:
- The linear magnification produced by a spherical mirror is 1/3.
- When the linear magnification is less than 1, it indicates a concave mirror.
- Therefore, the type of mirror in this case is a concave mirror.
Position of the Object:
- The magnification formula for spherical mirrors is given by:
M = -v/u
where M is the magnification, v is the image distance, and u is the object distance.
- Given that M = 1/3, we can deduce that v = -u/3.
- Since the magnification is positive (indicating an upright image), the object must be placed between the focal point (F) and the pole of the mirror.
- Therefore, the position of the object with respect to the pole of the mirror is between the pole and the focal point.
Ray Diagram:
- To justify the position of the object, we can draw a ray diagram for a concave mirror with the object placed between the focal point and the pole.
- Draw the principal axis (a straight line passing through the center of curvature, C, and the pole, P).
- Draw an incident ray parallel to the principal axis. After reflection, it will pass through the focal point, F.
- Draw an incident ray passing through the focal point, F. After reflection, it will be parallel to the principal axis.
- The point where these two reflected rays intersect will give the location of the image, which will be upright and diminished in size.
- This ray diagram confirms that the object is indeed located between the focal point and the pole of the concave mirror, consistent with the magnification of 1/3.
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Q.The linear magnification produced by a spherical mirror is 1/3. Analyzing this value, state the:(i) Type of mirror(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.?
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Q.The linear magnification produced by a spherical mirror is 1/3. Analyzing this value, state the:(i) Type of mirror(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.? 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 Q.The linear magnification produced by a spherical mirror is 1/3. Analyzing this value, state the:(i) Type of mirror(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.The linear magnification produced by a spherical mirror is 1/3. Analyzing this value, state the:(i) Type of mirror(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.?.
Q.The linear magnification produced by a spherical mirror is 1/3. Analyzing this value, state the:(i) Type of mirror(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.? 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 Q.The linear magnification produced by a spherical mirror is 1/3. Analyzing this value, state the:(i) Type of mirror(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q.The linear magnification produced by a spherical mirror is 1/3. Analyzing this value, state the:(i) Type of mirror(ii) Position of the object with respect to the pole of the mirror. Draw a ray diagram to justify your answer.?.
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