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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.
Reason (R): magnification = size of image / size of object
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'A'. Can you explain this answer?
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Directions : In the following questions, A statement of Assertion (A)...
U = f+x
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Using mirror formula,
1/v+1/u = 1/f
Or, 1/v – 1/(f+x) = – 1/f
∴ v = – f(f+x)/x
Magnification (m) = size of image / size of object = – v/u
So, the assertion and reason both are true and the reason properly explains the assertion.
Most Upvoted Answer
Directions : In the following questions, A statement of Assertion (A)...
Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.
Reason (R): Magnification = size of image / size of object
Explanation:
Definition of Magnification:
Magnification is defined as the ratio of the height (size) of the image produced by a mirror or lens to the height (size) of the object.
Working of a Concave Mirror:
A concave mirror is a curved mirror with a reflective surface that bulges inward. It can form both real and virtual images depending on the position of the object relative to the mirror.
When an object is placed in front of a concave mirror, light rays from the object are reflected and converge at a point called the focus. The distance between the object and the focus is denoted as x.
Focal Length:
The focal length of a concave mirror is the distance between the mirror and its focus. It is denoted by f.
Relation between Focal Length, Object Distance, and Image Distance:
For a concave mirror, the focal length (f), object distance (x), and image distance (v) are related by the mirror formula:
1/f = 1/x + 1/v
When an object is placed at a distance x from the focus of a concave mirror, the image is formed at a distance v from the mirror. In this scenario, the image formed is virtual and magnified.
Deducing the Magnification:
The magnification (M) produced by a mirror is given by the formula:
M = -v/x
Since the image formed by a concave mirror when the object is placed at a distance x from the focus is virtual, the magnification is positive. Therefore,
M = v/x
Comparing the Assertion and Reason:
The assertion states that the magnification produced by a concave mirror when the object is placed at a distance x from the focus is f/x.
The reason states that the magnification is the ratio of the size of the image to the size of the object.
Conclusion:
Both the assertion and the reason are true. The reason is the correct explanation for the assertion. The magnification produced by a concave mirror when the object is placed at a distance x from the focus is indeed f/x, which is derived from the formula for magnification.
Reason (R): Magnification = size of image / size of object
Explanation:
Definition of Magnification:
Magnification is defined as the ratio of the height (size) of the image produced by a mirror or lens to the height (size) of the object.
Working of a Concave Mirror:
A concave mirror is a curved mirror with a reflective surface that bulges inward. It can form both real and virtual images depending on the position of the object relative to the mirror.
When an object is placed in front of a concave mirror, light rays from the object are reflected and converge at a point called the focus. The distance between the object and the focus is denoted as x.
Focal Length:
The focal length of a concave mirror is the distance between the mirror and its focus. It is denoted by f.
Relation between Focal Length, Object Distance, and Image Distance:
For a concave mirror, the focal length (f), object distance (x), and image distance (v) are related by the mirror formula:
1/f = 1/x + 1/v
When an object is placed at a distance x from the focus of a concave mirror, the image is formed at a distance v from the mirror. In this scenario, the image formed is virtual and magnified.
Deducing the Magnification:
The magnification (M) produced by a mirror is given by the formula:
M = -v/x
Since the image formed by a concave mirror when the object is placed at a distance x from the focus is virtual, the magnification is positive. Therefore,
M = v/x
Comparing the Assertion and Reason:
The assertion states that the magnification produced by a concave mirror when the object is placed at a distance x from the focus is f/x.
The reason states that the magnification is the ratio of the size of the image to the size of the object.
Conclusion:
Both the assertion and the reason are true. The reason is the correct explanation for the assertion. The magnification produced by a concave mirror when the object is placed at a distance x from the focus is indeed f/x, which is derived from the formula for magnification.
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?.
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The focal length of a concave mirror is f and an object is placed at a distance x from the focus. The magnification produced by the mirror is f/x.Reason (R): magnification = size of image / size of objecta)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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