Question

Match the following cities in Group-I with their corresponding sun path diagrams in Group-II.

Group-I	Group-II (sun path diagram number)
P - New Delhi	1
Q - Singapore	2
R - Sydney	3
S - Helsinki	4
	5

• A. P - 1, Q - 5, R - 3, S - 2
• B. P - 2, Q - 4, R - 5, S - 1
• C. P - 3, Q - 5, R - 1, S - 2
• D. P - 3, Q - 4, R - 1, S - 5

Hint:

Sun path shape depends only on latitude: equatorial cities give tight symmetric paths, high latitudes give widely spread paths, and southern hemisphere cities mirror northern ones.

Answer 1

The Correct Option is C

Step 1: Understand what a sun path diagram shows.
A sun path diagram plots the position of the sun in the sky, given as altitude and azimuth, across the day for several dates in the year (usually the solstices and the equinox).
Its shape depends only on the latitude of the place being plotted, since latitude fixes how high the sun climbs and how much the summer and winter paths spread apart.

Step 2: Fix the latitude band of each city.
New Delhi sits at about 28 degrees N, a subtropical northern latitude.
Singapore sits at about 1 degree N, right on the equator.
Sydney sits at about 34 degrees S, a mid latitude in the southern hemisphere.
Helsinki sits at about 60 degrees N, a high northern latitude.

Step 3: Match the latitude behaviour to a diagram shape.
At the equator (Singapore) the sun passes almost overhead all year, so the solstice paths sit close on either side of a near-vertical equinox path. This gives diagram 5, the tightest, most symmetric crossing pattern.
At a subtropical latitude like New Delhi the sun still gets high in summer but is clearly lower in winter, without the huge day-length swing seen further north. This matches diagram 3.
At high latitude Helsinki, the gap between the short, low winter sun path and the long, high summer sun path is largest, since day length changes drastically there. This is diagram 2.
Sydney, in the southern hemisphere, produces a mirrored version of a mid latitude northern diagram, since the sun arcs across the northern sky instead of the southern sky. This corresponds to diagram 1.

Step 4: Assemble the match.
P (New Delhi) - 3, Q (Singapore) - 5, R (Sydney) - 1, S (Helsinki) - 2.
This is exactly option (C).

Final Answer:
\[ \boxed{\text{P - 3, Q - 5, R - 1, S - 2}} \]