The radius of curvature of a spherical mirror is 20 cm. what is its focal length
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Answer: Radius of curvature (R) = 20 cm
Radius of curvature of the spherical mirror = 2 × Focal length (f)R = 2f
f= R/2 = 20 / 2 = 10
Therefore, the focal length of the spherical mirror is 10 cm.
Answered by
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Given :-
The radius of curvature of a spherical mirror = 20 cm
To Find :-
The focal length of the mirror.
Analysis :-
Here we are given with the radius of curvature of a spherical mirror.
In order to find the focal length substitute the given values such that radius is equal to twice the focal length.
Solution :-
We know that,
- r = Radius
- f = Focal length
Using the formula,
Given that,
Radius (r) = 20 cm
Substituting their values,
⇒ 20 = 2 × f
⇒ f = r/2
⇒ f = 20/2
⇒ f = 10 cm
therefore, the focal length of the mirror is 10 cm.
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