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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : A point object is placed at a distance of 26 cm from a convex mirror of focal length 26 cm. The image will not form at infinity.
Reason : For above given system the equation 1/u + 1/v = 1/f gives v = ∞
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
  • e)
    Both Assertion and Reason are false.
Correct answer is option 'C'. Can you explain this answer?
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Direction: In the following questions, a statement of assertion (A) i...
Assertion (A) is true but reason (R) is false.
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Direction: In the following questions, a statement of assertion (A) i...
Assertion and Reasoning

Assertion: A point object is placed at a distance of 26 cm from a convex mirror of focal length 26 cm. The image will not form at infinity.

Reason: For above given system, the equation 1/u 1/v = 1/f gives v = ∞

Explanation

Convex mirrors are curved mirrors that reflect light outwards. They have a virtual focus and a positive focal length. When an object is placed in front of a convex mirror, the image formed is always virtual, erect, and diminished.

The given assertion states that a point object is placed at a distance of 26 cm from a convex mirror of focal length 26 cm. In this case, the object distance u is equal to the focal length f, which means that the image distance v is also equal to the focal length. Therefore, the image formed is at a distance of 26 cm from the mirror.

The given reasoning states that for the above system, the equation 1/u 1/v = 1/f gives v = ∞. This is not correct as the object distance u is equal to the focal length f, and the equation becomes 1/u + 1/v = 1/f. Rearranging this equation, we get v = uf/(u-f) = 26 cm, which means that the image is formed at a finite distance from the mirror and not at infinity.

Therefore, the assertion is true as the image is not formed at infinity, but the reasoning is false as it does not correctly explain the assertion. Hence, the correct option is (C) Assertion (A) is true but reason (R) is false.
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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A point object is placed at a distance of 26 cm from a convex mirror of focal length 26 cm. The image will not form at infinity.Reason : For above given system the equation 1/u + 1/v = 1/f gives v = ∞a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer?
Question Description
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A point object is placed at a distance of 26 cm from a convex mirror of focal length 26 cm. The image will not form at infinity.Reason : For above given system the equation 1/u + 1/v = 1/f gives v = ∞a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this 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 Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A point object is placed at a distance of 26 cm from a convex mirror of focal length 26 cm. The image will not form at infinity.Reason : For above given system the equation 1/u + 1/v = 1/f gives v = ∞a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : A point object is placed at a distance of 26 cm from a convex mirror of focal length 26 cm. The image will not form at infinity.Reason : For above given system the equation 1/u + 1/v = 1/f gives v = ∞a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.e)Both Assertion and Reason are false.Correct answer is option 'C'. Can you explain this answer?.
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