Question 70: Ray Optics

Question

Statement 1 :
The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
Statement 2 :
Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

Accepted Answer

Statement 1
The formula connecting $ u, v $ and $ f $ for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature.
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True.
This is due to the
paraxial approximation
Ã¢ÂÂthe mirror formula $\frac{1}{f} = \frac{1}{u} + \frac{1}{v}$ holds only when the mirror aperture is small so that rays make small angles with the principal axis. This avoids spherical aberration.
Statement 2
Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.
Ã¢ÂÂ
False.
The
laws of reflection
(angle of incidence = angle of reflection) are fundamental and apply to all reflecting surfacesÃ¢ÂÂplane, spherical, or irregular. What changes in large spherical mirrors is that reflected rays do not all converge at a single focus due to geometry, but the law of reflection itself
still holds locally
at every point on the surface.
Conclusion
Statement 1:
True
Statement 2:
False
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Correct Option: C
Option C: Statement 1 is True, Statement 2 is False.

Answer

Statement 1 is True, Statement 2 is True, Statement 2 is a CORRECT explanation for Statement 1

Answer

Statement 1 is True, Statement 2 is True, Statement 2 is NOT a CORRECT explanation for Statement 1

Answer

Statement 1 is True, Statement 2 is False

Answer

Statement 1 is False, Statement 2 is True

Ray Optics

Statement 1 : The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature. Statement 2 : Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

Choose the correct answer: