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Assertion The formula connecting u, v an...

Assertion The formula connecting u, v and f for a spherical mirror is valid only for mirrors sizes which are very small compared to their radii of curvature.
Reason Laws of reflection are stricity valid for plane surface, but not for large spherical.

A

If both Assertion and Reason are true and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are true but Reason is not correct explanation of Assertion.

C

If Assertion is true but Reason is false.

D

If Assertion is false but Reason is true.

Text Solution

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The correct Answer is:
C
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STATEMENT-1 The formula connecting u,v and f for a spherical 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.

Assertion:- The formula ((1)/(4)+(1)/(u)=(1)/(f)) connecting u and v for a spherical mirror is valid only for mirros whose sizes are very small compared to their radii of curvatures. Reason:- Laws of reflection are strictly valid for smaller size of of optical system.

Knowledge Check

  • In each of the questions, assertion(A) is given by corresponding statement of reason (R) of the statemens. Mark the correct answer. Q. Statement I: 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 II: Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

    A
    If both Statement I and Statement II are true and Statement II is the correct explanation of Statement I.
    B
    If both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I.
    C
    If Statement I is true, but Statement II is false.
    D
    If Statement I is false, but Statement II is true.

  • 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. Because Statement-2 Laws of reflection are strictly valid for plane surfaces, but nor for large spherical surfaces.s

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement -1.
    B
    Statement-1 is true, statement-2 is true, Statement-2 is Not a correct explanation for Statement -3
    C
    Statement-1 is true, statement-2 is false
    D
    Statement-1 is false, statement-2 is true

  • 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. Because Statement - 2 : Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for statement-1.
    B
    Statement-1 is True, Statement-2 is Tru, Statement-2 is not a correct explanantion for statement-1.
    C
    Statement-1 is True, Statement-2 is False
    D
    Statement-1 is False, Statement-2 is True.

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    Assertion : Focal length of a spherical mirror does not depend on the material from which mirror is made but same for the lens depends on the material of lens. Reason : Law of reflection does not depend on material and surrounding medium but law of refraction depends on refractive index of the materials.

    STATEMENT- 1 Spherical aberration is a defeat of a spherical mirror,in which not all rays focus at single point. STATEMENT 2 The laws of reflecion are not valid for all rays

    Assertion (A): A convex mirror always forms a diminished and virtual image. Reason (R): The laws of reflection are not applicable in the case of spherical mirrors.

    Assertion (A) : A ray of light passing through the centre of curvature of a spherical mirror retraces its path after reflection from the mirror. Reason (R) : A ray of light passing through the centre of curvature of a spherical mirror is incident normally on the surface of the mirror.

    Consider the following statements. A ray passing through centre of curvature of a spherical mirror is reflected such that it traces back of its path. A ray directed towards centre of curvature of spherical mirror does not follow law of reflection. Which of the following statements is/are correct?

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