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.
---
Topper's Solved these Questions
NSO QUESTION PAPER 2017 SET A
SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|1 Videos
NSO QUESTION PAPER 2016 SET B
SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|1 Videos
NSO QUESTION PAPER 2017 SET B
SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section|1 Videos
Similar Questions
Explore conceptually related problems
The focal length of spherical mirror is
Prove that focal length of a spherical mirror is equal to half the radius of its curvature.
Define the focal length of a spherical mirror.
Statement I : Focal length of a spherical mirror depends on the distances of object and image from the mirror. Statement II : (1)/(f ) = (1)/(v ) + (1)/(u)
The focal length (f) of a spherical mirror of radius of curvature R is
The focal length of a spherical mirror of radius of curvature 30 cm is:
The focal length f is related to the radius of curvature r of the spherical convex mirror by
If the focal length of a spherical mirror is 12.5 less cm, its radius of curvature will be :
Principal focal length of a spherical mirror is equal to……….. Radius……… of the mirror.
On what factors does the focal length of a spherical mirror depend ?
SCIENCE OLYMPIAD FOUNDATION -NSO QUESTION PAPER 2017 SET A-Achievers Section