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Ray Optics question bank (Physics)

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Q1.

A ray of light travels from a denser medium to a rarer medium. The reflected and the refracted rays are perpendicular to each other. If $r$ and $r'$ are angles of reflection and refraction respectively, then the angle of incidence $i$ is equal to $[\,C$ = critical angle $]$

(A)

$\sin^{-1}(\tan C)$

(B)

$\tan^{-1}(\sin r)$

(C)

$\tan^{-1}(\sin C)$

(D)

$\sin^{-1}(\tan r')$

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Q2.

In an experiment to measure the power of a convex lens, the least count of measuring scale for the position of object $u$ and the position of image $v$ are $\Delta u$ and $\Delta v$ respectively. The error $\Delta P$ in measurement of power of a convex lens will be

(A)

$\dfrac{\Delta v}{v^2} + \dfrac{\Delta u}{u^2}$

(B)

$\dfrac{\Delta v}{v} + \dfrac{\Delta u}{u}$

(C)

$\dfrac{1}{\dfrac{\Delta v}{v} + \dfrac{\Delta u}{u}}$

(D)

$\dfrac{1}{\dfrac{\Delta v}{v^2} + \dfrac{\Delta u}{u^2}}$

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