(A) The mirror formula $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$ is derived using the paraxial approximation,which assumes that the rays are close to

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(A) The mirror formula $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$ is derived using the paraxial approximation,which assumes that the rays are close to the principal axis and the mirror aperture is small compared to the radius of curvature. Thus,the Assertion $(A)$ is true.The laws of reflection (angle of incidence equals angle of reflection) are fundamental laws of optics and are valid for any reflecting surface,whether plane or spherical,regardless of size. Therefore,the Reason $(R)$ is false.

Class 12 Physics Ray Optics and Optical Instruments Spherical Mirror

Medium

Assertion $(A):$ The relation among $u, v$ and $f$ for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
Reason $(R):$ The laws of reflection are strictly valid for plane surfaces but not for large spherical surfaces.

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A
If Assertion is true but Reason is false.
B
If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C
If both Assertion and Reason are true and Reason is correct explanation of Assertion.
D
If both Assertion and Reason are false.

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Assertion $(A):$ The relation among $u, v$ and $f$ for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.Reason $(R):$ The laws of reflection are strictly valid for plane surfaces but not for large spherical surfaces.

Similar Questions

$A$ convergent beam of light is incident on a convex mirror so as to converge to a distance $12 \, cm$ from the pole of the mirror. An inverted image of the same size is formed coincident with the virtual object. What is the focal length of the mirror? $(cm)$

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Assertion $(A):$ The relation among $u, v$ and $f$ for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
Reason $(R):$ The laws of reflection are strictly valid for plane surfaces but not for large spherical surfaces.