Statement I - The formula connecting u - v and f for a spherical mirror is valid only for the mirrors whose sizes are very small as compared to their radii of curvature- Statement II - Laws of reflection are strictly valid for plane surfaces- but not for larger spherical surfaces- - IIT JEE 2007-A- Statement I is correct but Statement II is incorrectB- Statement I is incorrect but Statement II is correctC- Both the statements are correct but Statement II doesn-t infer to Statement ID- Both the statements are correct and statement II infers to Statement I

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Standard XII

Physics

Mirror Formula

Statement I :...

Question

Statement I : The formula connecting u, v and f for a spherical mirror is valid only for the mirrors whose sizes are very small as compared to their radii of curvature.

Statement II : Laws of reflection are strictly valid for plane surfaces, but not for larger spherical surfaces. [ IIT JEE 2007 ]

Both the statements are correct and statement II infers to Statement I

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Both the statements are correct but Statement II doesn’t infer to Statement I

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Statement I is correct but Statement II is incorrect

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Statement I is incorrect but Statement II is correct

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Solution

The correct option is C Statement I is correct but Statement II is incorrect
While deriving mirror formula for a spherical surface, we consider only paraxial rays as a spherical surface is perfectly focusing mirror only in such cases. Hence we need to take the aperture of the mirror to be very small.

Which implies that the size of the mirror should be very small as compared to their radii of curvature.
So, statement I is correct.
Now, let's talk about the laws of reflection. Laws of reflecting are valid for a spherical surfaces equally as it is for plane surfaces. This law doesn’t have any bias regarding the figure of the surface!

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Similar questions

Statement I : The formula connecting u, v and f for a spherical mirror is valid only for the mirrors whose sizes are very small as compared to their radii of curvature.

Statement II : Laws of reflection are strictly valid for plane surfaces, but not for larger spherical surfaces. [ IIT JEE 2007 ]

Q. Assertion :The formula connecting

u, v

and

f

for a spherical mirror is valid only for minors whose sizes are very small compared to their radii of curvature. Reason: Laws of reflection are strictly valid for plane surfaces, but not for a large spherical surfaces.

Q. The following question consist of two statements. Mark the answer as follows.
(A) If both statements are CORRECT, and Statement II is the CORRECT explanation of Statement I.
(B) If both statements are CORRECT, and Statement II is CORRECT the CORRECT explanation of Statement I.
(C) If Statement I is CORRECT, but Statement II is INCORRECT.
(D) If Statement I is INCORRECT, but Statement II is CORRECT.

Statement I: Molarity and molality for very dilute aqueous solution is approximately equal.
Statement II: For all aqueous solutions, total mass of solvent is approximately equal to total volume of solution.

Q. Read the following carefully to mark the correct option out of the options given below:

Statement I:

S i - S i

bond is weaker then

S i - O

bond.
Statement II: Silicon forms double bonds with itself.

Q. Statement I : Moseley's plot of square root of frequency vs the position number of elements in periodic table inspired the periodicity to be defined in terms of atomic number instead of atomic weight.
Statement II : According to Moseley's law , the frequency of

K_{α}

Characteristic x-ray increased with atomic number instead of atomic weight, and he concluded that atomic number is the fundamental quantity which increases in regular steps as one moves from one element to other.

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Statement I : The formula connecting u, v and f for a spherical mirror is valid only for the mirrors whose sizes are very small as compared to their radii of curvature. Statement II : Laws of reflection are strictly valid for plane surfaces, but not for larger spherical surfaces. [ IIT JEE 2007 ]

Statement I : The formula connecting u, v and f for a spherical mirror is valid only for the mirrors whose sizes are very small as compared to their radii of curvature.

Statement II : Laws of reflection are strictly valid for plane surfaces, but not for larger spherical surfaces. [ IIT JEE 2007 ]