Question:

In the given diagram, ovals are marked at different heights ($h$) of a hill. Which one of the following options P, Q, R, and S depicts the {top view} of the hill?

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Steep slopes in profile correspond to closely spaced contours in plan view; gentle slopes correspond to widely spaced contours. Always match the asymmetric side carefully.
Updated On: Aug 29, 2025
  • P
  • Q
  • R
  • S
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The Correct Option is B

Solution and Explanation

Step 1: Interpret the side profile of the hill.
From the side elevation, the hill has a steep slope on the left side (rising quickly up to $\sim$0.8 km) and a much gentler slope extending far to the right (gradually decreasing to the base).
Step 2: Translate slope into contour spacing.
- Where the slope is steep (left side), contour lines in the top view are closely spaced.
- Where the slope is gentle (right side), contour lines are more widely spaced.
Step 3: Analyze the given top view options.
- (P): Shows contours clustered more on the right side $\Rightarrow$ not correct.
- (Q): Shows contours tightly packed on the left side and stretched out on the right side — exactly matching the side profile.
- (R): Shows concentric symmetric circles $\Rightarrow$ corresponds to a symmetrical conical hill, not the case here.
- (S): Also somewhat symmetric, not consistent with the asymmetric slope.
Step 4: Select correct option.
Thus, option Q correctly represents the top view of the hill. Final Answer: \[ \boxed{Q} \]
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