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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 the convex mirror will increase, if the mirror is placed in water.
Reason (R): The focal length of a convex mirror of radius R is equal to, f = R/2.
  • 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.
Correct answer is option 'D'. Can you explain this answer?
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Directions: In the following questions, a statement of assertion (A) ...
Focal length of the spherical mirror does not depend on the medium in which it is placed.
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Directions: In the following questions, a statement of assertion (A) ...
Assertion (A): The focal length of the convex mirror will increase if the mirror is placed in water.
Reason (R): The focal length of a convex mirror of radius R is equal to, f = R/2.

The correct answer is option D, which states that Assertion (A) is false but Reason (R) is true.

Explanation:
To understand why the answer is option D, let's analyze the given assertion and reason separately.

Assertion (A): The focal length of the convex mirror will increase if the mirror is placed in water.
When a convex mirror is placed in water, the light waves passing through the water and reflecting off the mirror will experience a change in medium. This change in medium can affect the behavior of light waves, including their direction and speed. However, it does not directly affect the focal length of the mirror.

The focal length of a mirror depends on its shape and curvature, not on the medium in which it is placed. Therefore, the assertion that the focal length of the convex mirror will increase if it is placed in water is false.

Reason (R): The focal length of a convex mirror of radius R is equal to, f = R/2.
The focal length of a convex mirror is determined by its radius of curvature (R). The formula for the focal length of a convex mirror is given by f = R/2.

This formula holds true for convex mirrors regardless of the medium in which they are placed. It is a fundamental property of convex mirrors and can be derived from the mirror's geometry.

Therefore, the reason that the focal length of a convex mirror of radius R is equal to f = R/2 is true.

Conclusion:
Based on the above analysis, it can be concluded that Assertion (A) is false because the focal length of a convex mirror is not affected by the medium in which it is placed. Reason (R) is true because the focal length of a convex mirror is indeed given by f = R/2. Therefore, the correct answer is option D.
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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 the convex mirror will increase, if the mirror is placed in water.Reason (R): The focal length of a convex mirror of radius R is equal to, f = R/2.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.Correct answer is option 'D'. Can you explain this answer?
Question Description
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 the convex mirror will increase, if the mirror is placed in water.Reason (R): The focal length of a convex mirror of radius R is equal to, f = R/2.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.Correct answer is option 'D'. 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 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 the convex mirror will increase, if the mirror is placed in water.Reason (R): The focal length of a convex mirror of radius R is equal to, f = R/2.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.Correct answer is option 'D'. 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 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 the convex mirror will increase, if the mirror is placed in water.Reason (R): The focal length of a convex mirror of radius R is equal to, f = R/2.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.Correct answer is option 'D'. Can you explain this answer?.
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