Answer
384.9k+ views
Hint:The radius of curvature of convex or concave mirror is equal to two times of the focal length of convex or concave mirror.The radius of curvature is the radius of sphere formed by the convex or concave mirror. It is also equal to the distance between the pole and centre of curvature. The sign convention for focal length and radius of curvature is the same.
Complete step by step answer:
From the question, we know that the radius of curvature of a convex mirror is,
$R = 40\;{\rm{cm}}$
We know that the relationship between the radius of curvature of convex mirror and its focal length,
$f = \dfrac{R}{2}$
Here, $f$ is the focal length of the convex mirror.
Substitute the given value in the above equation, we have,
$f = \dfrac{{40\;{\rm{cm}}}}{2}\\
\therefore f = 20\;{\rm{cm}}
$
Thus, the focal length of the convex mirror is 20 cm and option C is correct.
Note:In convex mirror, the mirror coating is inside the spherical surface. The image formed by the convex mirror is smaller than the object; it will be upright and virtual. The image will be closer to the mirror as compared to the object whereas in concave mirror, the mirror coating is outside the spherical surface. The image formed by the concave mirror is bigger than the object; it will be upright and virtual. The image will be behind the mirror.
Complete step by step answer:
From the question, we know that the radius of curvature of a convex mirror is,
$R = 40\;{\rm{cm}}$
We know that the relationship between the radius of curvature of convex mirror and its focal length,
$f = \dfrac{R}{2}$
Here, $f$ is the focal length of the convex mirror.
Substitute the given value in the above equation, we have,
$f = \dfrac{{40\;{\rm{cm}}}}{2}\\
\therefore f = 20\;{\rm{cm}}
$
Thus, the focal length of the convex mirror is 20 cm and option C is correct.
Note:In convex mirror, the mirror coating is inside the spherical surface. The image formed by the convex mirror is smaller than the object; it will be upright and virtual. The image will be closer to the mirror as compared to the object whereas in concave mirror, the mirror coating is outside the spherical surface. The image formed by the concave mirror is bigger than the object; it will be upright and virtual. The image will be behind the mirror.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)