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The radius of curvature of a concave mirror is 30 cm. Following Cartesian Sign Convention, its focal length is expressed as ________.
- a)+ 30 cm
- b)+ 15 cm
- c)– 30 cm
- d)– 15 cm
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The radius of curvature of a concave mirror is 30 cm. Following Carte...
- In a concave mirror, the light rays from the object converge after reflection.
- Light rays from infinity, parallel to the principal axis, thus meet at the point on the principal axis on the side of the mirror which is towards the object.
- This distance is considered as negative.
- Hence the focal length of a concave mirror is negative.
⇒ Focal length, f = R/2
⇒ f = 30/2 = 15 cm
For the Concave mirror, the focal length is negative.
Therefore, f = -15 cm.
Most Upvoted Answer
The radius of curvature of a concave mirror is 30 cm. Following Carte...
Given information:
- Radius of curvature of a concave mirror = 30 cm
Cartesian Sign Convention:
- In Cartesian sign convention, the following conventions are followed for the measurement of distances and focal length in mirrors:
- Distances are measured along the direction of incident light.
- Distances measured in the direction of incident light are considered positive.
- Distances measured opposite to the direction of incident light are considered negative.
- The focal length of a concave mirror is considered negative.
Explanation:
The focal length of a concave mirror is half the radius of curvature. Using the given information:
Radius of curvature = 30 cm
Therefore, the focal length of the concave mirror is:
Focal length = Radius of curvature / 2
= 30 cm / 2
= 15 cm
According to the Cartesian sign convention, the focal length of a concave mirror is considered negative. Hence, the correct answer is option D) -15 cm.
- Radius of curvature of a concave mirror = 30 cm
Cartesian Sign Convention:
- In Cartesian sign convention, the following conventions are followed for the measurement of distances and focal length in mirrors:
- Distances are measured along the direction of incident light.
- Distances measured in the direction of incident light are considered positive.
- Distances measured opposite to the direction of incident light are considered negative.
- The focal length of a concave mirror is considered negative.
Explanation:
The focal length of a concave mirror is half the radius of curvature. Using the given information:
Radius of curvature = 30 cm
Therefore, the focal length of the concave mirror is:
Focal length = Radius of curvature / 2
= 30 cm / 2
= 15 cm
According to the Cartesian sign convention, the focal length of a concave mirror is considered negative. Hence, the correct answer is option D) -15 cm.
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The radius of curvature of a concave mirror is 30 cm. Following Cartesian Sign Convention, its focal length is expressed as ________.a)+ 30 cmb)+ 15 cmc)– 30 cmd)– 15 cmCorrect answer is option 'D'. Can you explain this answer?
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