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YDSE Problems I

If two struct...

Question

If two structure of same cross-sectional area, but different numerical apertures $N A_{1}$ and $N A_{2} (N A_{2} < N A_{1})$ are joined longitudinally, the numerical aperture of the combined structure is

A

\frac{N A_{1} N A_{2}}{N A_{1} + N A_{2}}

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B

N A_{1} + N A_{2}

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C

N A_{1}

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D

N A_{2}

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Solution

The correct option is D $N A_{2}$
If two structure of same cross-sectiong
area, but different numerical apertures ${N A}_{1}$
$(N A_{2} < N A_{1})$ are joined longitudinally, the
numerical aperture $(sin i_{n})$ of the
Combined Structure
If the incidence angle is greater than
the critical ange $T_{1} R$ occurs.
less in the less sinim ( Numerical aperture)
Should be the Numerical aperture
joined.
$N A_{2} \subset N A_{1}$
So $N A_{2}$ is the required
So option $D$ is correct

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YDSE Problems I

Standard XII Physics

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