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Read the given statements and select the...

Read the given statements and select the correct option.
Statement 1: Focal length of a spherical mirror depends on distances of object and image from the mirror.
Statement 2: Focal length of a spherical mirror is equal to the radius of curvature of spherical mirror.

A

Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.

B

Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.

C

Statement 1 is true but statement 2 is false.

D

Both statements 1 and 2 are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements regarding the focal length of a spherical mirror. ### Step 1: Analyze Statement 1 **Statement 1:** "Focal length of a spherical mirror depends on distances of object and image from the mirror." - The focal length (F) of a spherical mirror is a property that depends solely on the mirror's shape and radius of curvature (R). - The relationship is given by the formula: \[ F = \frac{R}{2} \] - This means that the focal length does not change based on where the object or image is located. Therefore, this statement is **incorrect**. ### Step 2: Analyze Statement 2 **Statement 2:** "Focal length of a spherical mirror is equal to the radius of curvature of spherical mirror." - As mentioned earlier, the relationship between the focal length and the radius of curvature is: \[ F = \frac{R}{2} \] - This indicates that the focal length is actually half of the radius of curvature, not equal to it. Thus, this statement is also **incorrect**. ### Conclusion Both statements are incorrect. Therefore, the correct option is that both statements are wrong. ### Final Answer: Both statements are wrong. ---
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