Reasoning (Key ray rules for a concave lens):
In option (C), the incident ray is aimed towards the lens’s near focus \(F\) (shown by a dashed extension); after refraction it emerges
parallel to the principal axis — exactly matching rule 2. Therefore, (C) is correct.
\[ \text{Concave lens: } \begin{cases} \text{towards } F \;\Rightarrow\; \text{emerges parallel},\\ \text{parallel} \;\Rightarrow\; \text{appears from } F. \end{cases} \]
Why others are wrong (brief): (B) makes a parallel ray pass through the far focus (that’s for a convex lens, not concave). (D) shows parallel rays remaining parallel after the lens (concave lens should diverge them). (A) does not satisfy any standard concave-lens rule as drawn.
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.